The particular solution that satisfies the **initial condition** y(-10) = 1 is y(x) = 1.

The **differential equation** y'(x) = 0 represents a constant function since the derivative of a constant is always zero. Thus, the general solution of the differential equation is y(x) = C, where C is a constant.

Using the initial condition y(-10) = 1, we can find the **particular solution** by solving for the value of C. Substituting x = -10 and y = 1 into the general solution, we get: 1 = C

Therefore, the particular solution that **satisfies** the initial condition y(-10) = 1 is y(x) = 1.

To know more about **differential equation**, refer here:

https://brainly.com/question/14620493#

#SPJ11

It is required to image one slice positioned at 5cm with a thickness of 1cm, of a cube in the first octant having width 10cm and one of its corners at the origin. The z-gradient is given by Gz=1G/mm. a. Find the bandwidth (in Hz) of the RF waveform needed to perform the slice selection. b. Give a mathematical expression for the RF waveform B1(t) (in the rotating frame) that is needed to perform the slice selection.

a. The** bandwidth **(in Hz) of the RF waveform needed to perform the slice selection is 1 kHz.

b. A mathematical expression for the RF waveform B1(t) (in the rotating frame) that is needed to perform the slice selection is:

B1(t) = B1max * sin(2π * γ * Gz * z * t)

where:

B1max is the amplitude of the RF pulse, in tesla (T)

γ is the gyromagnetic ratio, which is a fundamental constant for each type of nucleus (for protons in water at 1.5T, γ = 42.58 MHz/T)

Gz is the strength of the z-gradient, in tesla per meter (T/m)

z is the position along the z-axis, in meters (m)

t is the time, in seconds (s)

a. The bandwidth of the RF waveform is determined by the** thickness **of the slice that we want to image. In this case, the slice has a thickness of 1 cm, which corresponds to a range of z values of 5 cm ± 0.5 cm. The frequency range required to cover this range of z values is given by the Larmor equation:

Δf = γ * Gz * Δz

where Δf is the frequency range, in Hz, and Δz is the range of z values, in meters. Substituting the values, we get:

Δf = 42.58 MHz/T * 1 T/m * 0.01 m = 1.058 kHz

However, this **frequency **range covers both the excitation and dephasing of the slice, so the bandwidth of the RF waveform needed to perform the slice selection is half of this value, which is 1 kHz.

b. The RF waveform B1(t) is given by the expression:

B1(t) = B1max * cos(2π * (fo + γ * Gz * z) * t + φ)

where:

fo is the resonant frequency of the spins in the absence of any magnetic field gradient, which is equal to the Larmor frequency, given by fo = γ * Bo

Bo is the strength of the main magnetic field, in tesla (T)

φ is the phase of the RF pulse, which is usually set to 0 for simplicity

To select the slice at z = 5 cm, we need to apply an RF pulse that has a resonant frequency equal to the Larmor frequency at that position, which is given by:

fo' = γ * Gz * z + fo

Substituting the values, we get:

fo' = 42.58 MHz/T * 1 T/m * 0.05 m + 42.58 MHz/T * 1.5 T = 44.947 MHz

The amplitude of the RF pulse, B1max, is usually set to a value that ensures that the flip angle of the spins is close to 90 **degrees**. In this case, we will assume that B1max is equal to 1 microtesla (μT). Therefore, the final expression for the RF waveform B1(t) is:

B1(t) = 1 μT * cos(2π * 44.947 MHz * t)

To express the RF waveform in the rotating frame, we need to rotate the coordinate system around the y-axis by an angle equal to the Larmor frequency, given by:

B1rot(t) = B1(t) * exp(-i * 2π * fo * t)

Substituting the values, we get:

B1rot(t) = 1 μ

To know more about **expression**, visit;

https://brainly.com/question/1859113

#SPJ11

The equation 4 cos x - 8 sin x cos x = 0 has two solutions in the interval [0, pi/2]. What are they? Smaller solution x = pi Larger solution x = pi

x = 5pi/6 is not in the **interval** [0, pi/2]

Starting with the given** equation:**

4 cos x - 8 sin x cos x = 0

We can** factor** out 4 cos x:

4 cos x (1 - 2 sin x) = 0

So either cos x = 0 or (1 - 2 sin x) = 0.

If cos x = 0, then x = pi/2 since we're only **considering** the interval [0, pi/2].

If 1 - 2 sin x = 0, then sin x = 1/2, which means x = pi/6 or x = 5pi/6 in the interval [0, pi/2].

So the two solutions in the interval [0, pi/2] are x = pi/2 and x = pi/6.

That x = 5pi/6 is not in the interval [0, pi/2].

for such more question on** interval**

https://brainly.com/question/22008756

#SPJ11

The given **equation **is 4 cos x - 8 sin x cos x = 0. To find the solutions in the **interval **[0, pi/2], we need to solve for x.

Find the **solutions **within the given interval. Equation: 4 cos x - 8 sin x cos x = 0

First, let's **factor **out the common term, which is cos x:

cos x (4 - 8 sin x) = 0

Now, we have two cases to find the solutions:

Case 1: cos x = 0

In the interval [0, π/2], cos x is never equal to 0, so there is no solution for this case.

Case 2: 4 - 8 sin x = 0

Now, we'll solve for sin x:

8 sin x = 4

sin x = 4/8

sin x = 1/2

We know that in the interval [0, π/2], sin x = 1/2 has one solution, which is x = π/6.

So, in the given interval [0, π/2], the equation has only one solution: **x = π/6.**

To learn more about **factor : **brainly.com/question/14209188

#SPJ11

Consider the damped mass-spring system for mass of 0.7 kg, spring constant 8.7 N/m, damping 1.54 kg/s and an oscillating force 3.3 cos(wt) Newtons. That is, 0.72" + 1.54x' +8.7% = 3.3 cos(wt). What positive angular frequency w leads to maximum practical resonance? = w= 3.16 help (numbers) the steady state solution when the What is the maximum displacement of the mass we are at practical resonance: = CW) =

Plugging in the value of w = 3.156 rad/s, we can calculate the maximum **Displacement**.

To find the positive angular frequency w that leads to maximum practical resonance, we can solve the given equation for steady-state response by setting the input force equal to the damping force.

The given equation represents a damped mass-spring system with an **oscillating **force. The equation of motion for this system can be written as:0.72x'' + 1.54x' + 8.7x = 3.3cos(wt)

To determine the angular frequency w that leads to maximum practical resonance, we need to find the value of w that results in the maximum amplitude of the steady-state response.

The steady-state solution for this **equation **can be expressed as:

x(t) = X*cos(wt - φ)

where X is the amplitude and φ is the phase angle.

To find the maximum displacement (maximum amplitude), we can take the derivative of the steady-state solution with respect to time and set it equal to zero:

dx(t)/dt = -Xwsin(wt - φ) = 0

This condition implies that sin(wt - φ) = 0, which means wt - φ must be an integer multiple of π.

Since we are interested in finding the maximum practical resonance, we want the amplitude to be as large as possible. This occurs when the angular frequency w is equal to the natural frequency of the system.

The natural **frequency **of the system can be calculated using the formula:

ωn = sqrt(k/m)where k is the spring constant and m is the mass.

Given that the mass is 0.7 kg and the spring constant is 8.7 N/m, we can calculate the natural frequency:

ωn = sqrt(8.7 / 0.7) ≈ 3.156 rad/s

Therefore, the positive angular frequency w that leads to maximum practical resonance is approximately 3.156 rad/s.

To calculate the maximum displacement (maximum amplitude) of the mass at practical resonance, we need to find the amplitude X. Given the steady-state equation: x(t) = X*cos(wt - φ)

We know that at practical resonance, the input force is equal to the damping force:3.3cos(wt) = 1.54x' + 8.7x

By solving this equation for the amplitude X, we can find the maximum displacement: X = (3.3 / sqrt((8.7 - w^2)^2 + (1.54 * w)^2))

Plugging in the value of w = 3.156 rad/s, we can calculate the maximum displacement.

To know more about **Displacement**.

https://brainly.com/question/1581502

#SPJ11

The** maximum displacement **is:x_max = 0.695 cos(-0.298) = 0.646 m (approx)

The steady-state solution for the given **damped** mass-spring system is of the form:

x(t) = A cos(wt - phi)

where A is the amplitude of oscillation, w is the angular frequency, and phi is the phase angle.

To find the angular frequency that leads to maximum practical resonance, we need to find the value of w that makes the amplitude A as large as possible. The amplitude A is given by:

A = F0 / sqrt((k - mw^2)^2 + (cw)^2)

where F0 is the amplitude of the oscillating force, k is the spring constant, m is the mass, and c is the **damping coefficient**.

To maximize A, we need to minimize the denominator of the above expression. We can write the denominator as:

(k - mw^2)^2 + (cw)^2 = k^2 - 2kmw^2 + m^2w^4 + c^2w^2

Taking the derivative of the above expression with respect to w and setting it to zero, we get:

-4kmw + 2m^2w^3 + 2cw = 0

Simplifying and solving for w, we get:

w = sqrt(k/m) / sqrt(2) = sqrt(8.7/0.7) / sqrt(2) = 3.16 rad/s (approx)

This is the value of w that leads to maximum **practical resonance**.

To find the steady-state solution at practical resonance, we can substitute w = 3.16 rad/s into the equation of motion:

0.7x'' + 1.54x' + 8.7x = 3.3 cos(3.16t)

The steady-state solution is of the form:

x(t) = A cos(3.16t - phi)

where A and phi can be determined by matching coefficients with the right-hand side of the above equation. We can write:

x(t) = Acos(3.16t - phi) = Re[Ae^(i(3.16t - phi))]

where Re denotes the real part of a complex number. The amplitude A can be found from:

A = F0 / sqrt((k - mw^2)^2 + (cw)^2) = 3.3 / sqrt((8.7 - 0.7(3.16)^2)^2 + (1.54(3.16))^2) = 0.695

The maximum displacement occurs when cos(3.16t - phi) = 1, which happens at t = 0. Therefore, the maximum displacement is:

x_max = A cos(-phi) = 0.695 cos(-phi)

The phase angle phi can be found from:

tan(phi) = cw / (k - mw^2) = 1.54 / (8.7 - 0.7(3.16)^2) = 0.308

phi = atan(0.308) = 0.298 rad

Know more about ** maximum displacement **here:

https://brainly.com/question/14150511

#SPJ11

Consider the vector field. F(x, y, z) = 4ex sin(y), 2ey sin(z), 3ez sin(x) (a) Find the curl of the vector field. curl F = (b) Find the divergence of the vector field. div F =

For "**vector-field**" F(x,y,z) = 4eˣ sin(y), 2[tex]e^{y}[/tex] sin(z), 3[tex]e^{z}[/tex]sin(x);

(a) **curl **is -2[tex]e^{y}[/tex]cos(z)i - 3[tex]e^{z}[/tex]cos(x)j - 4eˣ cos(y)k.

(b) divergence is 4eˣ sin(y) + 2[tex]e^{y}[/tex] sin(z) + 3[tex]e^{z}[/tex]sin(x).

The vector-filed is given as : F(x,y,z) = 4eˣ sin(y), 2[tex]e^{y}[/tex] sin(z), 3[tex]e^{z}[/tex]sin(x);

Part(a) : The curl of the given vector-field can be written in **determinant **form as :

Curl(F) = [tex]\left|\begin{array}{ccc}i&j&k\\\frac{d}{dx} &\frac{d}{dy}&\frac{d}{dz}\\4e^{x}Siny &2e^{y}Sinz&3e^{z}Sinx\end{array}\right|[/tex];

= i{d/dy(3[tex]e^{z}[/tex]sin(x)) - d/dz(2[tex]e^{y}[/tex] sin(z))} - j{d/dx(3[tex]e^{z}[/tex]sin(x) - d/dz(4eˣ sin(y))} + k{d/dx(2[tex]e^{y}[/tex] sin(z)) - d/dy(4eˣ sin(y))};

= -2[tex]e^{y}[/tex]cos(z)i - 3[tex]e^{z}[/tex]cos(x)j - 4eˣ cos(y)k.

Part (b) : The **divergence **of the **vector**-"F" can be written as :

div.F = [i×d/dx + j×d/dy + k×d/dz]×F,

**Substituting **the values,

We get,

= [i×d/dx + j×d/dy + k×d/dz] . {4eˣ sin(y), 2[tex]e^{y}[/tex] sin(z), 3[tex]e^{z}[/tex]sin(x)},

= d/dx (4eˣ sin(y)) + d/dy (2[tex]e^{y}[/tex] sin(z)) + d/dz (3[tex]e^{z}[/tex]sin(x)),

On simplifying further,

We get,

Therefore, the Divergence = 4eˣ sin(y) + 2[tex]e^{y}[/tex] sin(z) + 3[tex]e^{z}[/tex]sin(x).

Learn more about **Vector Filed** here

https://brainly.com/question/7964566

#SPJ4

The given question is incomplete, the complete question is

Consider the vector field. F(x,y,z) = 4eˣ sin(y), 2[tex]e^{y}[/tex] sin(z), 3[tex]e^{z}[/tex]sin(x);

(a) Find the curl of the vector field.

(b) Find the divergence of the vector field.

• problem 7: if you keep on tossing a fair coin, what is the expected number of tosses such that you can have hth (heads, tails, heads) in a row?

The expected number of** tosses** needed to obtain hth in a row is h^2/2. For example, the expected number of tosses needed to obtain HTH in a row is 4^2/2 = 8.

Let E be the expected number of tosses needed to obtain hth in a row. We can approach this problem recursively by considering the expected number of additional tosses needed given the **outcome **of the previous toss.

If the previous toss was tails, then we are back to the starting point and need** E tosses** to obtain hth in a row.

If the previous toss was heads, then we need to obtain h-1 more heads in a row to complete the hth sequence. The expected number of additional tosses needed to obtain** h-1 heads** in a row is E, by the same reasoning as above. In addition, we need one more toss to obtain the next head in the hth sequence.

Thus, we have the recurrence relation E = 1/2(E+1) + 1/2(E+h), which simplifies to E = E/2 + (h/2) + 1/2. Solving for E, we obtain E = h^2/2.

For such more questions on ** Tosses:**

https://brainly.com/question/28718651

#SPJ11

The value of a car that depreciates over time can be modeled by the function r(t)=16000(0.7)^{3t 2}.r(t)=16000(0.7) 3t 2 . write an equivalent function of the form r(t)=ab^t.r(t)=ab t .

The value of a and b from the given **function **and the equivalent function are 7840 and 0.343 respectively.

The given function is [tex]R(t)=16000(0.7)^{3t+2}[/tex].

Here, the given function can be written as

[tex]R(t) = 16000\times(0.7)^{3t}\times(0.7)^2[/tex]

[tex]R(t) = 16000\times(0.7)^{3t}\times0.49[/tex]

[tex]R(t) = 7840\times(0.7)^{3t}[/tex]

[tex]R(t) = 7840\times(0.343)^{t}[/tex]

The given** equivalent function** is [tex]R(t) = ab^{3t}[/tex]

By comparing [tex]R(t) = 7840\times(0.343)^{t}[/tex] with [tex]R(t) = ab^{3t}[/tex], we get

a=7840 and b=0.343

Therefore, the value of a and b from the given **function **and the equivalent function are 7840 and 0.343 respectively.

To learn more about the **function **visit:

https://brainly.com/question/28303908.

#SPJ12

search of a value in binary search treee takes o(logn) true false

true - searching for a value in a **binary **search tree takes O(log n) time.

a binary search tree is a data structure where each node has at most two children, and the left child is always smaller than the parent while the right child is always larger. This structure allows for efficient searching, as we can compare the** value** we are searching for with the value of the current node and traverse either the left or right subtree accordingly. By doing so, we can eliminate half of the remaining nodes with each comparison, leading to a **time** complexity of O(log n).

searching for a value in a binary search tree takes O(log n) time, which is a relatively efficient **algorithmic** complexity. However, it's important to note that this assumes the tree is balanced and does not take into account worst-case scenarios where the tree may be heavily skewed.

To learn more about **time** visit:

https://brainly.com/question/31732120

#SPJ11

if the baryonic mass of our galaxy is m ≈1011 m , by what amount has the helium fraction of our galaxy been increased over its primordial value yp = 0.24?

The increase in helium fraction over its **primordial value** of 0.24 is about 0.06, or 30%.

The **helium fraction** of our galaxy has increased from its primordial value of yp = 0.24 by about 30%. This can be calculated by looking at the abundance of elements in our galaxy and comparing them to the expected values from the Big Bang nucleosynthesis (BBN) theory.

According to **BBN**, during the first few minutes after the Big Bang, the universe was mostly composed of hydrogen and helium, with trace amounts of other elements. As the universe expanded and cooled, these elements combined to form the stars and galaxies we see today.

Observations of our galaxy have shown that the abundance of helium is about 28% by mass, which is significantly higher than the 24% predicted by BBN. This difference is due to the fact that as stars form and evolve, they produce heavier elements through** nuclear fusion reactions**, including helium. This means that over time, the overall helium fraction of the galaxy increases as more and more stars are born and die.

Based on the estimated baryonic mass of our galaxy of m ≈1011 m, we can calculate that the increase in helium fraction over its primordial value of 0.24 is about 0.06, or 30%. This increase is consistent with the predictions of stellar evolution models and observations of other galaxies. Overall, the increase in helium fraction is a testament to the ongoing process of star formation and evolution in our galaxy, which has been taking place for billions of years.

To know more about **nuclear fusion reactions**, refer to the link below:

https://brainly.com/question/13090058#

#SPJ11

List five vectors in span {1 , 2}. for each vector, show the weights on 1 and 2 used to generate the vector and list the three entries of the vector. do not make a sketch

**Answer:**

The span {1, 2} consists of all possible **linear** combinations of the vectors [1, 0] and [0, 2]. Therefore, any vector in this span can be written as:

a[1, 0] + b[0, 2] = [a, 2b]

Here are five **vectors** in the span {1, 2} along with their corresponding weights on 1 and 2:

[2, 4] = 2[1, 0] + 2[0, 2]

[3, -6] = 3[1, 0] - 3[0, 2]

[-5, 10] = -5[1, 0] + 5[0, 2]

[0, 0] = 0[1, 0] + 0[0, 2]

[1, 1] = 1[1, 0] + 0.5[0, 2]

To know more about **linear **refer here

https://brainly.com/question/15830007#

#SPJ11

Let X be the winnings of a gambler. Let p(i)=P(X=i)

and suppose that

p(0)=1/3;p(1)=p(−1)=13/55;p(2)=p(−2)=1/11;p(3)=p(−3)=1/165

.

Compute the conditional probability that the gambler wins i

, i=1,2,3

given that he wins a positive amount.

The conditional probabilities that the gambler wins 1, 2, or 3 given that he wins a **positive amount** are 13/6, 5/2, and 1/2, respectively.

We can use **Bayes' theorem** to compute the conditional probabilities. Let A be the event that the gambler wins a positive amount, i.e., A = {1,2,3}, and let B be the event that the gambler wins i, i = 1,2,3. Then, we have:

P(B|A) = P(A|B)P(B)/P(A)

We can compute the **probabilities** as follows:

P(A) = P(X > 0) = p(1) + p(2) + p(3) = 13/55 + 1/11 + 1/165 = 6/55

P(B) = p(i) for i = 1,2,3

P(A|B) = P(X > 0|X = i) = P(X > 0 and X = i)/P(X = i) = p(i)/[2p(i) + p(i-1) + p(i+1)]

Therefore, we have:

P(B|A) = P(X = i|X > 0) = P(X > 0|X = i)P(X = i)/P(X > 0) = P(A|B)P(B)/P(A)

Computing each of the **conditional** probabilities yields:

P(1|A) = P(X = 1|X > 0) = (13/55)/(6/55) = 13/6

P(2|A) = P(X = 2|X > 0) = (1/11)/(6/55) = 5/2

P(3|A) = P(X = 3|X > 0) = (1/165)/(6/55) = 1/2

Therefore, the conditional probabilities that the gambler wins 1, 2, or 3 given that he wins a positive amount are 13/6, 5/2, and 1/2, respectively.

To know more about **Bayes' theorem **refer to-

https://brainly.com/question/29598596

#SPJ11

A car company took a random sample of 85 people and asked them whether they have a plan to purchase an electronic car in the near future. 18 of them responded that they have a plan to buy one. What is the error term of a 96% confidence interval for the population proportion of people having a plan to buy an electronic car?

the error term of the 96% confidence **interval** for the population **proportion** of people having a plan to buy an electronic car is approximately 0.076.

To **calculate** the error term of a confidence interval for the population proportion, we first need to calculate the **margin** of error using the following formula:

Margin of error = z* * sqrt(p_hat*(1-p_hat)/n)

where:

z* is the critical value of the **standard** normal distribution for the desired level of confidence. For a 96% confidence level, the **critical** **value** is 1.750.

p_hat is the sample proportion, which is calculated as p_hat = x/n, where x is the number of people in the sample who have a plan to purchase an electronic car (18 in this case) and n is the sample size (85 in this case).

Using these values, we have:

Margin of error = 1.750 * sqrt(0.2118*(1-0.2118)/85) ≈ 0.076

To learn more about **proportion** visit:

brainly.com/question/30657439

#SPJ11

Let V be a vector space v,u in V and let T1:V->V and T2 be a linear transformation such that T1(v)=2v-7u,T1(u)=-6v+3u, T2(v)=4v+2u, and T2(u)=-7u-4u.

Find the images of v and u under the composite of T1 and T2

(T2T1)(v)=________

(T2T1)(u)=________

To find the images of v and u under the **composite transformation (T2T1)**, we need to apply the linear transformations T1 and T2 in **sequence.**

Let's start by **calculating** (T1(v)):

T1(v) = 2v - 7u

Next, we apply T2 to the** result:**

T2(T1(v)) = T2(2v - 7u)

Using the given **values for T2**, we substitute v and u:

T2(T1(v)) = T2(2v - 7u) = 2(2v - 7u) + 2(-6v + 3u)

**Simplifying** further:

T2(T1(v)) = 4v - 14u - 12v + 6u

**Combining **like terms:

T2(T1(v)) = -8v - 8u

Therefore, the **image of v** under the composite transformation (T2T1) is -8v - 8u.

Similarly, let's calculate (T1(u)):

T1(u) = -6v + 3u

Now we apply T2 to the result:

T2(T1(u)) = T2(-6v + 3u) = 4(-6v + 3u) + 2(-7u - 4u)

Simplifying further:

T2(T1(u)) = -24v + 12u - 14u - 8u

Combining like terms:

T2(T1(u)) = -24v - 10u

Therefore, the image of u under the composite transformation (T2T1) **is -24v - 10u.**

In summary:

(T2T1)(v) = -8v - 8u

(T2T1)(u) = -24v - 10u

Learn more about **Composite Transformation** :

https://brainly.com/question/10465236

**#SPJ11**

If dan walks twelve miles to his backyard how long is his house

**Answer:**

24 miles

**Step-by-step explanation:**

0.5 --- 12

x2 x2

1 --- 24

questionkiki has 131 wheat rolls and 117 rye rolls. she places them in baskets of 9 rolls each. she divides the total number of rolls by 9 and gets 27 r 5.what is the correct interpretation of r 5 for this situation?responseskiki has 5 baskets left after filling 27 baskets.kiki has 5 baskets left after filling 27 baskets.kiki has 5 rolls left after filling 27 baskets.kiki has 5 rolls left after filling 27 baskets.kiki can fill at most 27 baskets with 5 rolls each.kiki can fill at most 27 baskets with 5 rolls each.kiki can fill 5 more baskets after filling 27 baskets.kiki can fill 5 more baskets after filling 27 baskets.

From **division algorithm** kiki divides total number of rolls by 9, and results 27 with remainder, r= 5, then the right interpretation is kiki has 5 rolls left after filling 27 baskets. So, option(b) is correct one.

The division algorithm tells us that when a number 'a' is **divided** by a number 'b' the quotient 'q' and the remainder 'r' represented by relation, a = bq + r.

Total number of **wheat rolls** that kiki had

= 131

Total number of **rye rolls** that kiki had

= 117

Total number of rolls she had = 131 + 117

= 248

Number of rolls placed by Kiki in one **basket** = 9

Total number of baskets she needed to place the rolls = dividing total rolls by total number of rolls in one basket, [tex]= \frac{ 248}{9} [/tex]

Results, **quotient**** **=27 and remainder = 5

That means when kiki wants to put all rolls in baskets, we placed total 243 rolls in 27 baskets with 9 rolls in each and 5 rolls are remained. The rammining rolls are represented by remainder. Hence, required interpretation is that 5 rolls are left after placed in 27 baskets .

For more information about **division ****algorithm****,**** **visit :

https://brainly.com/question/29988038

#SPJ4

**Complete ****question****:**** **

question : kiki has 131 wheat rolls and 117 rye rolls. she places them in baskets of 9 rolls each. she divides the total number of rolls by 9 and gets 27 r 5.what is the correct interpretation of r 5 for this situation?responses

a) kiki has 5 baskets left after filling 27 baskets.

b) kiki has 5 rolls left after filling 27 baskets.

c) kiki can fill at most 27 baskets with 5 rolls each.

d) kiki can fill 5 more baskets after filling 27 baskets.

if ax= b has two solutions x1 and x2, find two solutions to ax= 0

If ax = b has two** **solutions** x1 and x2**, the two solutions to ax = 0 can be obtained by setting b = 0. The solutions to ax = 0 are x1 = 0 and x2 = 0.

If the equation ax = b has two solutions x1 and x2, it means that both x1 and x2** satisfy the equation **ax = b.

when we have ax = 0, we want to find values of x that make the** equation equal** to zero.

Since any number multiplied by zero is zero, we can choose x1 = 0 and x2 = 0 as two solutions to the equation ax = 0.

By substituting these values into the equation, we have a(0) = 0 and a(0) = 0, which are both **true statements.**

x1 = 0 and x2 = 0 are two solutions to the equation ax = 0.

Learn more about** x1 and x2**

brainly.com/question/24085716

**#SPJ11**

what correlation is obtained when the pearson correlation is computed for data that have been converted to ranks? (35) the spearman correlation. the point-biserial correlation. the phi coefficient. it is still called a pearson correlation.

When data is converted to ranks, the **correlation **obtained is the Spearman correlation. It assesses the strength and direction of the monotonic relationship between two variables, meaning that it can capture non-linear relationships as well.

The Pearson correlation measures the strength and direction of the linear relationship between two variables, assuming they have a **normal distribution**. However, when data is not normally distributed, it may be converted to ranks, which allows for a **non-parametric **correlation measure to be used. The Spearman correlation is a non-parametric measure of correlation that uses the ranks of the data rather than the actual values.

In addition to the **Spearman correlation**, there are other non-parametric correlation measures that can be used when data is converted to ranks. The point-biserial correlation is used when one variable is dichotomous and the other is continuous and ranked. The phi coefficient is used when both variables are dichotomous. However, even when data is converted to ranks, the correlation measure is still commonly referred to as the Pearson correlation, as it is the same formula used with ranked data as with **non-ranked data.** However, it is important to recognize that the interpretation and assumptions of the correlation measure may differ depending on the type of data used.

To know more about **correlation **visit :-

https://brainly.com/question/30116167

#SPJ11

Suppose 15% of people do not own a calculator, 40% of people own one calculator, 40% own two calculators, and the remaining 5% own three calculators. Let X be the number of calculators that a randomly selected person owns. I = number of calculators 0 P(X = 1) = f(x) 0.15 0.40 0.40 0.05 (a) (3 points) What is the probability a person owns fewer than 3 calculators? (b) (3 points) What is the expected number of calculators that a person owns? (C) (3 points) What is E[X?? (d) (4 points) What is the standard deviation for the number of calculators that a person owns?

(a) The **probability **that a person owns fewer than 3 calculators is 0.95.

(b) The expected number of calculators that a person owns is 1.4.

(c) The expected value of X (the number of calculators a person owns) is 1.4.

(d) The **standard **deviation for the number of calculators a person owns is 0.8.

(a) To find the **probability **that a person owns fewer than 3 calculators, we need to calculate the cumulative probability up to X = 2. This includes the probabilities P(X = 0), P(X = 1), and P(X = 2). Adding these probabilities together, we have 0.15 + 0.40 + 0.40 = 0.95. Therefore, the probability that a person owns fewer than 3 **calculators **is 0.95.

(b) To find the expected number of calculators that a person owns, we multiply each possible number of calculators by its respective probability and sum them up. So, we have (0 × 0.15) + (1 ×0.40) + (2 × 0.40) + (3 × 0.05) = 1.4. Therefore, the expected number of calculators that a person owns is 1.4.

(c) The expected **value **of X, denoted E[X], represents the average number of calculators that a person owns. In this case, we have already calculated E[X] in part (b), which is 1.4.

(d) The **standard deviation** of X, denoted as σX, measures the spread or variability of the number of calculators a person owns. To calculate it, we need to find the variance of X and then take the square root. The variance of X is calculated as the sum of each value of (X - E[X]) squared multiplied by its respective probability. So, we have [tex](0 - 1.4)^{2}[/tex] ×0.15 + [tex](1 - 1.4)^{2}[/tex]× 0.40 +[tex](2 - 1.4)^{2}[/tex] × 0.40 + [tex](3 - 1.4)^{2}[/tex] × 0.05 = 0.8. Taking the square root of the variance, we find that the standard deviation for the number of calculators a person owns is 0.8.

Learn more about **standard deviation** here:

https://brainly.com/question/13498201

#SPJ11

Option

1. The universal set is the set of polygons. Given that A={quadrilaterals),

B - (regular polygons). Name a member of An B', the diagonals of which

bisect each other.

A **member** of the** set** (A ∩ B') that consists of quadrilaterals with diagonals bisecting each other is the square.

Let's break down the given information step by step. The universal set is the set of all polygons. **Set** A is defined as the set of quadrilaterals, while set B' represents the **complement** of set B, which consists of regular polygons.

To find a member of the set A ∩ B', we need to identify a quadrilateral that is not a regular polygon and has diagonals that bisect each other. The **square** fits this description perfectly. A square is a quadrilateral with all sides equal in length and all angles equal to 90 degrees, making it a regular** polygon**. Additionally, in a square, the diagonals intersect at right angles and bisect each other, dividing the square into four congruent right triangles.

Therefore, the square is a member of the set (A ∩ B') in this case, satisfying the condition of having diagonals that bisect each other.

Learn more about** complement **here:

https://brainly.com/question/13058328

#SPJ11

An SRS of size 10 is drawn from a population that has a normal distribution. The sample has a mean of 111 and a standard deviation of 4.

Give the standard error of the mean___.

The **standard error **of the mean is 1.27. The standard error of the mean (SEM) measures the variability or **dispersion **of sample means around the population mean.

It provides an **estimate** of how much the sample mean is likely to deviate from the true population mean. The SEM is calculated using the **formula**:

SEM = σ / sqrt(n),

where σ is the population** standard deviation** and n is the sample size.

In this case, we are given that the sample size (n) is 10 and the sample has a mean of 111 and a standard deviation of 4. Since we do not have the population standard deviation (σ), we can estimate it using the **sample** standard deviation (s). However, if the sample size is relatively small (typically less than 30) and the population is assumed to be normally distributed, it is recommended to use the** t-distribution **for the estimation. But in this case, since we are given that the population has a **normal** distribution and the sample size is 10, we can use the sample standard deviation as an estimate for the population standard deviation.

Therefore, we can **substitute **the sample standard deviation (s) for the population standard deviation (σ) in the **SEM formula**:

SEM = s / sqrt(n).

Given that the sample standard deviation (s) is 4 and the sample size (n) is 10, we can calculate the SEM as follows:

SEM = 4 / sqrt(10) ≈ 1.27.

Thus, the standard error of the mean is **approximately** 1.27.

The SEM is an important measure as it helps us understand the **precision** of the sample mean estimate. A smaller SEM indicates that the sample mean is a** more precise** estimate of the population mean, while a larger SEM suggests greater uncertainty and more **variability** in the sample mean. It is used in hypothesis testing, confidence intervals, and other **statistical analyses **to make inferences about the population based on sample data.

To learn more about **standard error**, click here: brainly.com/question/29456921

#SPJ11

The cost of producing q items is C(q) = 3000 + 18q dollars.

a) What is the marginal cost of producing the 100th item? the 1000th item?

The marginal cost to produce the 100th unit is $________________

The marginal cost to produce the 1000th unit is $_________________

b) What is the average cost of producing 100 items? 1000 items?

The average cost of producing 100 units is $_________________ per unit.

The average cost of producing 1000 units is $ _________________ per unit.

a) The **marginal **cost is constant and equal to $18 for all values of q.

The marginal cost to produce the 100th unit is $18.

The marginal cost to produce the 1000th unit is $18.

b) The average cost of producing 100 units is $48per unit.

The average cost of producing 1000 units is $30 per unit.

The marginal cost is the derivative of the cost function C(q) with respect to q.

We have:

C'(q) = 18

The marginal cost is constant and equal to $18 for all **values **of q.

The marginal cost to produce the 100th item and the 1000th item is both $18.

The average cost is the total cost divided by the number of **units **produced.

We have:

Average **cost **of producing 100 items

= C(100)/100

= (3000 + 18(100))/100

= $48 per unit

**Average **cost of producing 1000 items

= C(1000)/1000

= (3000 + 18(1000))/1000

= $30 per unit

For similar questions on **marginal **

https://brainly.com/question/12231343

#SPJ11

a) The **marginal cost** of 100th unit and 1000th unit is constant with $18. b) The average cost of 100th unit is $31.80 per unit and 1000th unit is $21.00 per unit.

The marginal cost is the **derivative **of the cost function with respect to the quantity q. Taking the derivative of C(q) = 3000 + 18q, we get: C'(q) = 18

Therefore, the marginal cost is a constant $18 per unit. It does not depend on the **quantity **produced. So, the marginal cost to produce the 100th item and the 1000th item is both $18.

The average cost is the **total cost** divided by the quantity. To find the average cost, we divide the cost function C(q) by the quantity q.

For 100 items:

Average Cost = C(100) / 100 = (3000 + 18 * 100) / 100 = 3180 / 100 = $31.80 per unit.

For 1000 items:

Average Cost = C(1000) / 1000 = (3000 + 18 * 1000) / 1000 = 21000 / 1000 = $21.00 per unit.

Therefore, the average cost of producing 100 items is $31.80 per unit, and the average cost of producing 1000 items is $21.00 per unit.

To learn more about **derivative **click here

brainly.com/question/29020856

**#SPJ11**

Consider the following estimated trend models. Use them to make a forecast for t = 21. Linear Trend: yˆy^ = 13.54 + 1.08t (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)

The forecast for t = 21 using the linear trend **model **is approximately y^ = 36.22

To **forecast **the value for t = 21 using the provided linear trend model. The linear trend model given is:

y^ = 13.54 + 1.08t

To make a forecast for t = 21, we'll plug in the value of t into the **equation **and solve for y^:

Insert the value of t into the equation:

y^ = 13.54 + 1.08(21)

Perform the multiplication:

y^ = 13.54 + 22.68

Add the numbers together:

y^ = 36.22

Therefore, the forecast for t = 21 using the linear trend model is approximately y^ = 36.22 (rounded to 2 decimal places).

Learn more about "**model **":

https://brainly.com/question/28592940

#SPJ11

12. Given that the coefficient of x² in the expansion of (1-ax)' is 60 and that a > 0, find the value of a.

The binomial expansion of (1-ax)' is:

(1-ax)' = 1 - ax + a²x² - a³x³ + ...

To find the coefficient of x², we need to look at the term with x², which is a²x². Therefore, the coefficient of x² in the expansion is a².

Given that the coefficient of x² is 60, we can solve for a:

a² = 60

a = ±√60

Since a > 0, we take the positive square root:

a = √60 = √(2²×3×5) = 2√15

Therefore, the value of a is 2√15.

(1-ax)' = 1 - ax + a²x² - a³x³ + ...

To find the coefficient of x², we need to look at the term with x², which is a²x². Therefore, the coefficient of x² in the expansion is a².

Given that the coefficient of x² is 60, we can solve for a:

a² = 60

a = ±√60

Since a > 0, we take the positive square root:

a = √60 = √(2²×3×5) = 2√15

Therefore, the value of a is 2√15.

Plot the point whose cylindrical coordinates are given. Then find the rectangular coordinates of the point. (a) (4, ? 3 , ?3) (b) (9, -?/2, 7)

(a) To plot the point (4, π/3, -3) in cylindrical **coordinates**, we start by drawing the z-axis and rotating counterclockwise by π/3 to locate the projection of the point onto the xy-plane. Then we draw a circle with radius 4 centered at the projection and extend a **vertical line** downwards by 3 units to find the point in space.

To find the rectangular coordinates, we use the formulas x = r cos θ and y = r sin θ, where r is the radius and θ is the angle in the xy-plane measured counterclockwise from the positive x-axis. Thus, x = 4 cos(π/3) = 2 and y = 4 sin(π/3) = 2√3. The z-coordinate is already given as -3, so the **rectangular** coordinates of the point are (2, 2√3, -3).

(b) To plot the point (9, -π/2, 7) in cylindrical coordinates, we start by drawing the z-axis and rotating counterclockwise by π/2 to locate the projection of the point onto the xy-plane. Then we draw a circle with radius 9 centered at the projection and extend a vertical line upwards by 7 units to find the point in space.

To find the rectangular coordinates, we use the same **formulas** as before. However, since the angle in the xy-plane is now -π/2, we have x = 9 cos(-π/2) = 0 and y = 9 sin(-π/2) = -9. The z-coordinate is already given as 7, so the rectangular coordinates of the point are (0, -9, 7).

To know more about **coordinates **visit:

https://brainly.com/question/16634867

#SPJ11

find the angle between the vectors. (first find an exact expression and then approximate to the nearest degree.) a = i − 5j, b = −5i 12j

The angle between** vectors **a = i - 5j and b = -5i + 12j is approximately 164 degrees to the nearest degree.

To find the angle between two vectors, we can use the **dot product **formula:

a · b = |a| |b| cosθ

where a · b is the dot product of vectors a and b, |a| and |b| are the magnitudes of vectors a and b respectively, and θ is the angle between the two vectors.

First, we need to calculate the **magnitudes** of vectors a and b:

[tex]|a| = sqrt(1^2 + (-5)^2) = sqrt(26)|b| = sqrt((-5)^2 + 12^2) = 13[/tex]

Next, we need to calculate the dot product of vectors a and b:

a · b = (1)(-5) + (-5)(12) = -65

Now we can **substitute** these values into the dot product formula to solve for the angle θ:

-65 = sqrt(26) * 13 * cosθ

cosθ = -65 / (sqrt(26) * 13) = -0.9765

Taking the inverse cosine of -0.9765, we get:

θ = 164.43 degrees

Therefore, the angle between vectors a = i - 5j and b = -5i + 12j is approximately 164 degrees to the nearest degree.

To know more about** vector **refer to-

https://brainly.com/question/29740341

#SPJ11

If a 9% coupon bond that pays interest every 182 days paid interest 112 days ago, the accrued interest would bea. $26.77.b. $27.35.c. $27.69.d. $27.98.e. $28.15.

The accrued **interest **on a $1,000 face value 9% coupon bond that paid interest 112 days ago is $1.11. However, none of the answer choices match this amount.

To calculate the accrued interest on a **bond**, we need to know the coupon rate, the face value of the bond, and the time period for which interest has accrued.

In this case, we know that the bond has a coupon rate of 9%, which means it pays $9 per year in interest for every $100 of face value.

Since the bond pays interest every 182 days, we can calculate the **semi-annual coupon payment **as follows:

Coupon payment = (Coupon rate * Face value) / 2

Coupon payment = (9% * $100) / 2

Coupon payment = $4.50

Now, let's assume that the face value of the bond is $1,000 (this information is not given in the question, but it is a common assumption).

This means that the bond pays $45 in interest every year ($4.50 x 10 payments per year).

Since interest was last paid 112 days ago, we need to calculate the accrued interest for the period between the last payment and today.

To do this, we need to know the number of days in the **coupon period** (i.e., 182 days) and the number of days in the current period (i.e., 112 days).

Accrued interest = (Coupon payment / Number of days in coupon period) * Number of days in the current period

Accrued interest = ($4.50 / 182) * 112

Accrued interest = $1.11

Therefore, the accrued interest on a $1,000 face value 9% coupon bond that paid interest 112 days ago is $1.11. However, none of the answer choices match this amount.

Know more about the **interest **here:

**https://brainly.com/question/25720319**

#SPJ11

A variable weight has been defined as an integer. Create a new variable p2weight containing the address of weight. C language.

The **pointer variable **p2weight to access and **manipulate **the value of weight indirectly.

In C language, we can create a new **pointer variable **p2weight of type int* to **store **the address of an **integer variable** weight using the "&" operator, as follows:

int weight; // integer variable

int* p2weight = &weight; // pointer variable storing

Here, the "&" operator is used to obtain the address of the variable weight, and then the pointer variable p2weight is initialized to store this address. Now, we can use the pointer variable p2weight to access and manipulate the value of **weight **indirectly.

Learn more about **pointer variable **here

https://brainly.com/question/30358642

#SPJ11

How many arrangements are there of TAMELY with either T before A, or A before M, or M before E? By "before," we mean anywhere before, not just immediaiely before.

There are 720 possible **arrangements** of the word "TAMELY" since it has 6 distinct letters (6! = 6×5×4×3×2×1 = 720). To find the arrangements with given condition, we can use **complementary** counting.

To find the number of **arrangements** of TAMELY with T before A, or A before M, or M before E, we need to break this down into cases.

Case 1: T before A

We can start by fixing T in the first** position**. The remaining letters can be arranged in 4! = 24 ways. Therefore, there are 24 arrangements where T is before A.

Case 2: A before M

We can start by fixing A in the second position. The** remaining **letters can be arranged in 3! = 6 ways. Therefore, there are 6 arrangements where A is before M.

Case 3: M before E

We can start by fixing M in the fourth position. The remaining letters can be arranged in 2! = 2 ways. Therefore, there are 2 arrangements where M is before E.

Now, we need to add up the number of arrangements in each case. However, we have **counted **some arrangements more than once. Specifically, we have counted the arrangement TAMELY twice (once in case 1 and once in case 2). Therefore, we need to subtract 1 from our total count.

Total number of arrangements with T before A, or A before M, or M before E = 24 + 6 + 2 - 1 = 31.

Therefore, there are 31 arrangements of TAMELY with either T before A, or A before M, or M before E, anywhere before.

Learn more about **arrangements **here:

https://brainly.com/question/14855400

#SPJ11

Explain whether the given equation defines an exponential function. Give the base for each function.

y = x x

Option A. No, there is no **exponent**. There is no **exponential function** in the equation.

An **exponential function** is a mathematical function in the form of f(x) = a^x, where "a" is a constant base and "x" is the exponent. In this function, the variable x is usually the input, and the output value of the function is the result of the base "a" raised to the power of "x."

Exponential functions can also be written in different forms, such as f(x) = ab^x, where "a" is a constant, and "b" is the base raised to a **constant** **power**.

y = x⁵ is not an expuential function.

If y=a* It's an exponential function.

"a" is a constant and a ≠ 0

learn more about **exponential ****function****:**** **https://brainly.com/question/2456547

#SPJ1

The complete question goes thus:

Explain whether the given equation defines an exponential function. Give the base for each function.

y= x⁵

O No, there is no exponent.

Yes, the base is 5.

O Yes, the base is x.

O No, the base is not a constant.

Case Study 12 Demand for regular daily admission tickets to the same theme park, based on average daily attendance, is given by D(p) = -7.7p2 + 495.8p + 10,000, where the regular admission price is Sp and D is the number of tickets demanded at that price. 5. The current regular daily admission price is $85. At this price, what is the elasticity of demand for tickets? Round to 3 decimal places. 6. Is the demand for tickets elastic or inelastic? Explain the meaning of your answer in the context of this problem. 7. Is revenue increasing or decreasing? 8. The park's Board of Directors is also considering raising the price of the regular daily admission ticket in 2023. Based on elasticity of demand, should they consider the increase? Explain your reasoning.

Previous question

Board of Directors **should not **consider **raising** the price

The **elasticity **of demand for tickets at the current regular daily admission price of $85 can be calculated using the formula:

Elasticity = (% change in quantity demanded) / (% change in price)

First, we need to find the **quantity demanded **at the current price. Using the demand function, D(p) = -7.7p^2 + 495.8p + 10,000:

D(85) = -7.7(85)^2 + 495.8(85) + 10,000 ≈ 6,724.5 tickets

Next, we find the derivative of the demand function with respect to **price** to calculate the rate of change:

dD(p)/dp = -15.4p + 495.8

At the price of $85, the rate of change is:

-15.4(85) + 495.8 ≈ -821.2

Now, we can calculate the elasticity of demand:

Elasticity = (-821.2/6,724.5) / (1/85) ≈ -1.569

Rounded to **3 decimal places**, the elasticity of demand is -1.569. Since the elasticity is less than -1, the demand for tickets is elastic, meaning that a percentage increase in price will result in a larger percentage decrease in quantity demanded.

Given the elasticity of demand, if the price is increased, the revenue is expected to decrease, as fewer people will purchase tickets at the higher price. Therefore, based on the elasticity of demand, the Board of Directors should not consider raising the price of the regular daily admission ticket in 2023.

Learn more about** elasticity **here:

https://brainly.com/question/28790459

#SPJ11

A panel for a political forum is made up of 11 people from three parties, all seated in a row. The panel consists of 5 Democrats, 5 Socialists, and 1 Independent. In how many distinct orders can they be seated if two people of the same party are considered identical (not distinct)?

There are 252 distinct orders in which the panel can be seated if two people of the same party are considered **identical**.

We can solve this problem by first counting the number of distinct ways to **arrange** the Democrats and Socialists, and then multiplying by the number of ways to arrange the **Independent** in the remaining spots.

First, let's consider the Democrats and Socialists. We need to find the number of distinct ways to arrange 5 D's and 5 S's, where two people of the same party are considered identical. This is **equivalent** to finding the number of distinct ways to arrange the letters in the word "DDDDSSSSSS", which is given by:

10

!

5

!

5

!

=

252

5!5!

10!

=252

This is the number of distinct ways to arrange the Democrats and Socialists. Next, we need to arrange the Independent in the remaining spot. There is only 1 Independent, so there is only 1 way to do this.

Therefore, the total number of distinct orders is:

252

×

1

=

252

252×1=252

Learn more about **equivalent **at: brainly.com/question/25197597

#SPJ11

true/false. the inertia of an object is m measured when the object is at rest in the earth reference frame.
The solvent is changed from petroleum ether to diethyl ether after the ferrocene is collected from the column. Why not use diethyl ether the entire time? (a) Because diethyl ether is more polar than petroleum ether (b) Because petroleum ether selectively elutes ferrocene since it contains more ether oxygens than diethyl ether (c) Because diethyl ether would lead to a poorer separation of ferrocene and acetylferrocene (d) Both a and c are correct A
The researchers later used SDS-PAGE and size-exclusion chromatography to separate different mixtures containing both CP8 (a 76-kDa protein) and Zp_127 (a 40-kDa protein). CP8 would be expected to:A. travel farther during SDS-PAGE and elute more quickly during size-exclusion chromatography.B. travel farther during SDS-PAGE and elute more slowly during size-exclusion chromatography.C. travel a smaller distance during SDS-PAGE and elute more quickly during size-exclusion chromatography.D. travel a smaller distance during SDS-PAGE and elute more slowly during size-exclusion chromatography.
find the equation of the line that passes through the points (-3,-7) (-3,10
a nurse has just initiated an iv infusion and is teaching the client about possible complications. the nurse should include that which of the following findings is an indication of early infiltration?
t/f the uniform commercial code provides that, under certain circumstances, a merchant may be liable on a written contract, even though that merchant has not signed it.
Consider the hierarchy of classes below, where EnglishTeacher and MathTeacher are subclasses of Teacher, and PoetryTeacher is a subclass of EnglishTeacher.Which of the following is a true statement about the classes shown?PoetryTeacher inherits the constructors of Teacher and EnglishTeacherPoetryTeacher inherits all the private methods of Teacher and EnglishTeacherEach of the classes -- Teacher, EnglishTeacher, MathTeacher, and PoetryTeacher -- can have a method lecture that has different codeIf PoetryTeacher has a private instance variable anthology, EnglishTeacher can access itMathTeacher inherits the constructors of Teacher
phosphate buffer with a ph of 7.40 using phosphoric acid (h3po4) or its conjugate bases. which acid and conjugate base would you use? the pka values for phosphoric acid are 2.16. 7.21, and 12.32.
1. how many days will your m&ms last? the day you open the bag is day
these sequential stills are from a conversation in the film snapshot (lund, 2006). which of the following statements are true and which of the following are false? the filmmakers are following the 180-degree rulethis is an eyeline match cutthis appears to be discontinuity editingthis is a shot/reverse shotthis is a graphic match
Fused quartz has an index of refraction of 1.46. What is the speed of light in this material?
Display the list of book types in the database. List each book type only once. select from book type distinct: select distinct type from book; select distinct type, count(*), from book: There is no SQL clause that allows for this
the ksp of agi is 1.5 1016. calculate the molar solubility of silver iodide. give the answer in 2 sig. figs. question blank 1 of 2 type your answer... x 10^ question blank 2 of 2
the correlation between cost and distance is 0.842. what is the critical value for testing if the correlation is significant at =.01? give the exact value from the critical value table.
a prediction being correct means that the theory that produced it must be correct true false
Gavin is working two summer jobs making $14 per hour tutoring and $13 per hour landscaping. Last week Gavin worked a total of 10 hours and earned a total of $137. Determine the number of hours Gavin worked tutoring last week and the number of hours he worked landscaping last week.
A statistics practitioner randomly sampled 100 observations from a population with a standard deviation of 5 and found that overbar above x is 10. Estimate the population mean with 90% confidence.b. Repeat part (a) with a sample size of 25.c. Repeat part (a) with a sample size of 10.d. Describe what happens to the confidence interval estimate when the sample size decreases
supportive messages for someone sharing a problem tend to be high in __________ pronouns and low in __________ pronouns.
Identify in which listed project each following project activity would normally occur. Use each phase once only. Design development Bidding and awardConstruction project closeout. Project closeout
Consider the following expression 7(3+1) (9b+2) Select all of the true statements below.