Katie has 348 gel pens. She gives away 3/4 of them away how many does she give away?

Answers

Answer 1

Answer:

261

Step-by-step explanation:

Answer 2

Answer:

Katie gave away 261 gel pens.

Step-by-step explanation:

3/4 ÷348= 261


Related Questions

Find the area of this figure! (Don’t give me a big explanation, i have 30 mins to get this ixl to 90, currently at 74)

Find the area of this figure! (Dont give me a big explanation, i have 30 mins to get this ixl to 90,

Answers

315 m²

area of rec + area of rec + area of rec +  area of triangle

⇒ length + width + length + width + length + width + 1/2 * base * height

⇒ 19 * 6 + 9 * 9 + 18 * 5 + 1/2 * 12 * 5

⇒ 90 + 30 + 81 + 114

⇒ 315 m²

Find the area of this figure! (Dont give me a big explanation, i have 30 mins to get this ixl to 90,

Answer:

315 m²

Step-by-step explanation:

As this figure may seem complicated, we can split it into four separate figures.

Area

Area of vertical rectangle + Area of left horizontal rectangle + Area of right horizontal rectangle + Area of triangle6 x 10 + (9 + 6) x (19 - 10) + 18 x 5 + 1/2 x 12 x (18 + 9 + 6 - 17 - 11)60 + 15 x 9 + 90 + 6 x 560 + 135 + 90 + 30180 + 135315 m²

The perimeter is 36.what dose x have to be

Answers

The answer would be 4

if a and b are directly proportional and b and c are directly proprtional, then how are a and c related

Answers

a and c are directly proportional to each other when a and b are directly proportional and b and c are directly proportional.

If a and b are directly proportional and b and c are directly proportional, it means that their ratios are equal. Direct proportionality implies that as one variable increases, the other also increases in proportion and as one variable decreases, the other also decreases in proportion.

Mathematically, this can be written as

a = kb and b = mc, where k and m are constants of proportionality.

Multiplying these two equations gives: a = kbm

Substituting the value of b from the second equation in the first equation, we get: a = kmc

Therefore, a and c are also directly proportional to each other with a constant of proportionality km.

Thus, if a increases by a certain factor, c will also increase by the same factor.

If a and b are directly proportional and b and c are directly proportional, then it can be concluded that a and c are directly proportional as well.

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urgent help matlab.Thanks in advanc Write a M function file 'tconvert.m', which can convert coordinates (x, y) into Polar from Cartesian coordinates.

Answers

A M function file 'tconvert.m', which can convert coordinates (x, y) into Polar from Cartesian coordinates. is:
"```matlab
function [theta, r] = tconvert(x, y)
```"

To create the M function file 'tconvert.m' that converts Cartesian coordinates (x, y) into Polar coordinates, follow these steps:

1. Open the MATLAB Editor or any text editor and create a new file named 'tconvert.m'.

2. In the file, start with the function declaration line: `function [theta, r] = tconvert(x, y)`.

3. Inside the function, write the conversion code using MATLAB's built-in functions:

  - Calculate the angle theta using `atan2(y, x)`, which returns the angle in radians.

  - Calculate the radius r using `sqrt(x^2 + y^2)`, which gives the distance from the origin.

4. End the function with the `end` keyword.

5. Save the file in a directory accessible by MATLAB.

The function 'tconvert' takes the Cartesian coordinates (x, y) as input and returns the corresponding Polar coordinates (theta, r). The angle theta represents the direction in radians, and the radius r represents the distance from the origin.

The function can be called from the MATLAB command window or from another script or function file.

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Complete question:

Write a M function file 'tconvert.m', which can convert from Cartesian coordinates (x,y) into Polar coordinates.

a rectangle is transformed according to the rule r0 90 T/F

Answers

When the rectangle is transformed according to the rule r0 90 T/F, it first undergoes a reflection about the y-axis, followed by a rotation of 90 degrees counterclockwise about the origin, and finally a translation of a certain distance in either the x or y direction depending on whether the final image is a reflection or not.

The final image obtained will be a rectangle as well, but with different dimensions and position depending on the translation distance.Let's assume that the rectangle has width w and height h. When reflected about the y-axis, its width changes sign but its height remains the same, resulting in a new width of -w and height of h.

After that, the rectangle is rotated 90 degrees counterclockwise about the origin, which swaps its width and height but preserves their signs, resulting in a new width of -h and height of -w.

Finally, a translation of distance d is applied to either the x or y coordinate depending on whether the final image is a reflection or not. If the final image is a reflection, then the translation is applied in the y direction by a distance of d, resulting in a new position of (-h, d).

Otherwise, the translation is applied in the x direction by a distance of d, resulting in a new position of (d, -w).In summary, the rectangle is transformed according to the rule r0 90 T/F by undergoing a reflection, rotation, and translation, resulting in a new rectangle with dimensions and position depending on the original dimensions and the translation distance.

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A rectangle can be transformed according to the rule r0 90 T/F, which can have different results, depending on how the transformation is done.

The rule can be interpreted as follows:r0: No rotation90: Rotate the rectangle 90 degreesT/F: Flip the rectangle horizontally (T) or vertically (F)For example, if a rectangle with a width of 4 units and a height of 2 units is subjected to this transformation rule, the result will vary depending on the order of transformations.

Consider the following cases : Case 1: r0 90 F T (rotate by 0 degrees, then rotate by 90 degrees, then flip vertically, then flip horizontally) In this case, the rectangle is first rotated by 0 degrees, which means that its position and size are unchanged. Next, it is rotated by 90 degrees, which means that its width becomes its height and vice versa. After that, it is flipped vertically, which means that its top and bottom edges are swapped.

Finally, it is flipped horizontally, which means that its left and right edges are swapped. The resulting rectangle has a width of 2 units and a height of 4 units. It is also reflected across the line y = 0 (the x-axis).Case 2: F T r0 90 (flip vertically, then flip horizontally, then rotate by 0 degrees, then rotate by 90 degrees) In this case, the rectangle is first flipped vertically, which means that its top and bottom edges are swapped. Next, it is flipped horizontally, which means that its left and right edges are swapped.

After that, it is rotated by 0 degrees, which means that its position and size are unchanged. Finally, it is rotated by 90 degrees, which means that its width becomes its height and vice versa. The resulting rectangle has a width of 2 units and a height of 4 units.

It is also reflected across the line y = -x (the line that goes through the origin with a slope of -1).In conclusion, a rectangle can be transformed in various ways, and the order of transformations matters. The rule r0 90 T/F can produce different results depending on the sequence of operations.

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9. a polynomial p(1) has a relative maximum at (-2,0), a relative minimum at (1,3) and a relative maximum at (5,7) and no other critical points. how many zeros does p(x) have?

Answers

We are not given any information about the behavior of the function at points other than the critical points, so we cannot determine the number of zeros that the polynomial has.

What is critical point?

A critical point of a function is a point where the derivative of the function is equal to zero or is undefined. At a critical point, the function may have a local maximum, a local minimum, or a point of inflection, depending on the behavior of the function.

What is relative maximum?

A relative maximum is a point on the function where the value of the function is higher than the values of the function at nearby points, but not necessarily the highest value that the function takes on.

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Please help meee
Approximate negative seventeen plus square root of sixty to the nearest tenth. −9.3 −7.7 7.7 9.3

Answers

The approximate value of negative seventeen plus square root of sixty to the nearest tenth is -9. 3 . Option A

How to determine the value

From the information given, we have;

negative seventeen, this is written as = - 17square root of sixty, this is written as = √60

Substitute the values into the expression, we have;

- 17 + √60

Find the square root of 60 and add to the expression;

-1 7 + 7. 7459

Find the sum of the values

-9. 3

Thus, the approximate value of negative seventeen plus square root of sixty to the nearest tenth is -9. 3 . Option A

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The equation d = m/v can be used to calculate the density,d, of an object with mass,m, and volume,V. Which is an equivalent equation solver for V?

The equation d = m/v can be used to calculate the density,d, of an object with mass,m, and volume,V.

Answers

Answer:

v = m/d

Step-by-step explanation:

since

\(d = \frac{m}{v} \: \\ \\ v = \frac{m}{d} \)

Identify the sampling technique used in the given scenario. A local polling center collects data from voters by interviewing the first 50 people to exit the polling station after voting
a. Random b. Stratified
c. Cluster d. Systematic e. Convenience

Answers

The Sampling technique used in the given scenario is random sampling technique.

What is random sampling?

There are four main types of this sampling method:

Simple Random SamplingSystematic SamplingStratified SamplingClustered Sampling

In the sampling method known as random sampling, each sample has an equal chance of being chosen. The purpose of a randomly chosen sample is to fairly represent the total population. for example-A straightforward random sample might be 25 names chosen at random from a pool of 250 employees. Since every employee has same chance of being chosen, the sample in this case is random and the population in this case is all 250 employees.

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pls help! I need help in algebra, I will give Brainliest!! No links, no stealing points, and only correct answers or you will be reported.

pls help! I need help in algebra, I will give Brainliest!! No links, no stealing points, and only correct

Answers

Answer:

6^8

Step-by-step explanation:

When you have a power to another power, you multiply them.

Answer:

\(6^{8}\)

Step-by-step explanation:

Using the rule of exponents

\((a^{m}) ^{n}\) = \(a^{mn}\) , then

\((6^{2}) ^{4}\) = \(6^{2(4)}\) = \(6^{8}\)

solve for f.
f - 518 = -147
f = ?
please help

Answers

Answer:

f = 371

Step-by-step explanation:

Just add 518 to both sides this dumb easy

Find the maximum and minimum values of the function f(x, y) = 2x² + 3y2 – 4x – 5 on the domain x2 + y2 < 196. The maximum value of f(x, y) is attained at The minimum value of f(x, y) is attained

Answers

We must optimise the function within the provided constraint to get the maximum and minimum values of the function f(x, y) = 2x2 + 3y2 - 4x - 5 on the domain x2 + y2 196.

We must take the partial derivatives of f(x, y) with respect to x and y and set them to zero in order to determine the critical points:

F/y = 6y = 0, and F/x = 4x - 4 = 0.

4x - 4 = 0, which results from the first equation, gives x = 1.

Y = 0 is the result of the second equation, 6y = 0.

As a result, (1, 0) is the critical point.

The limits of the domain x2 + y2 196, which is a circle with a radius of 14, must then be examined.

f(x, y) evaluation at the limits of

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2x+y=16 y=2x what are the side lengths of the triangle?

Answers

Answer:

x = 4. y=8

Step-by-step explanation:

putting y=2x in first equation

2x+2x=16

4x=16

x=4

put x=4 in eq second

y=2*4

y=8

I need help with these questions. 1

I need help with these questions. 1
I need help with these questions. 1
I need help with these questions. 1
I need help with these questions. 1
I need help with these questions. 1

Answers

Answer:

first question : I think it's corresponding angle

second question : is lines AD and GH ,b/c skew means two lines that are not parallel and don't intersect

Step-by-step explanation:

HOPE THIS HELPS

a box contains 95 red marbles, 58 white marbles, and 3 blue marbles.if a marble is randomly selected from the box, what is the probability that it is white or blue? express your answer as a simplified fraction or a decimal rounded to four decimal places.

Answers

Therefore, the probability of selecting a white or blue marble is approximately 0.3910 or 39.10% when rounded to four decimal places.

To find the probability of selecting a white or blue marble, we need to determine the total number of white and blue marbles and divide it by the total number of marbles in the box.

Total white and blue marbles = Number of white marbles + Number of blue marbles

= 58 + 3

= 61

Total number of marbles = Number of red marbles + Number of white marbles + Number of blue marbles

= 95 + 58 + 3

= 156

Probability = (Total white and blue marbles) / (Total number of marbles)

= 61 / 156

≈ 0.3910 (rounded to four decimal places)

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Evaluate the following expression P(1+rt), for P=1575,r=0.055,t= 168​ /365 . a 516,124 b $1975.71 c) $39,87 d) 51614.87

Answers

The correct option is a) $5161.24

To evaluate the expression P(1+rt) with the given values:

P = 1575

r = 0.055

t = 168/365

First, let's calculate rt:

rt = 0.055 * (168/365)

= 0.0252836 (rounded to 7 decimal places)

Now, substitute the values into the expression P(1+rt):

P(1+rt) = 1575 * (1 + 0.0252836)

= 1575 * 1.0252836

= 1615.85846 (rounded to 5 decimal places)

The result is approximately $1615.86.

Therefore, the correct option is a) $5161.24

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inspection of a random sample of 25 aircraft showed that 17 needed repairs to fix a wiring problem that might compromise safety. (a) how large a sample would be needed to estimate the true proportion of jets with the wiring problem, with 90 percent confidence and an error of ± 5 percent?

Answers

 The random sample proportion.

Probability distribution is a statistical function that describes all the possible values and likelihoods that a random variable can take within a given range.

at 90% confidence interval: The Central 90% of any normal   distribution is: Z_(α/2) = 1.960

 Error = E = ±5% = ±0.05

Applying the normal  Probability distribution

= 0.70 ≤ P≤  0.77(this means that we are 90% confident that the true proportion of jet with wiring problem fall with 0.70 and 0.77, hence there is no need for the airline to conduct further sampling, rather, they should just inspect all the planes)

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Using data in "gpa2", the following equation was estimated sat n​=(6.29)1,028.10​+(3.83)19.30​ hsize −(0.53)2.19​ hsize 2−(4.29)45.09​ female −(12.81)169.81 black +(18.15)62.31​ female × black ​=4,137,R2=0.0858​ where sat is the combined SAT score, hsize is the size of the students high school graduation class. (i) Is there evidence that hsize2 should be included in the model? From this equation, what is the predicted optimal graduating class size? (ii) Holding hsize fixed, what is the estimated difference in SAT score between nonblack females and nonblack males? Is this significant at the 5% level? (iii) What is the estimated difference in SAT score between nonblack males and black males? Test the null hypothesis that there is no difference between their scores, against the alternative that there is a difference. (iv) What is the estimated difference in SAT score between black females and nonblack females? What would you need to do to test whether the difference is statistically significant?

Answers

The predicted optimal graduating class size can be found by solving for hsize when the derivative of the SAT score with respect to hsize is zero.

(i) To determine whether hsize2 should be included in the model, we can conduct a hypothesis test by comparing the coefficient of hsize2 to zero. The null hypothesis (H0) is that the coefficient is zero, suggesting that hsize2 does not have a significant impact on the SAT score. The alternative hypothesis (Ha) is that the coefficient is not zero, indicating that hsize2 has a significant effect on the SAT score.

To test the hypothesis, we can calculate the t-statistic for the coefficient of hsize2. The t-statistic is given by the coefficient divided by its standard error. If the absolute value of the t-statistic is sufficiently large, we can reject the null hypothesis in favor of the alternative hypothesis.

To find the predicted optimal graduating class size, we can use the equation and solve for hsize when the derivative of the SAT score with respect to hsize equals zero. This will give us the turning point where the SAT score is maximized.

(ii) To estimate the difference in SAT scores between nonblack females and nonblack males while holding hsize fixed, we can simply subtract the coefficients of the female variable for nonblack females and nonblack males. We can then assess the significance of the difference by conducting a t-test comparing this difference to zero at the 5% significance level.

(iii) To estimate the difference in SAT scores between nonblack males and black males, we can subtract the coefficient of the black variable from the coefficient of the male variable. To test the null hypothesis that there is no difference between their scores, we can conduct a t-test comparing this difference to zero.

(iv) To estimate the difference in SAT scores between black females and nonblack females, we can subtract the coefficient of the female variable for nonblack females from the sum of the coefficients of the female and black variables for black females. To test whether the difference is statistically significant, we would need to conduct a t-test comparing this difference to zero.

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Triangle T R S has centroid Z. Lines are drawn from each point to the midpoint of the opposite side to form line segments T W, R V, and S U.
In triangle TRS, VZ = 6 inches. What is RZ?

3 inches
6 inches
12 inches
18 inches

Answers

Answer:

C?

Step-by-step explanation:

From eyeballing it, I can see that RZ is definetely not the first two. and RZ looks about exactly double the length of VZ. Hope this helps. :)

Answer:

C. 12 inches

Step-by-step explanation:

May I have brainliest please? :)


$1200 are invested for three years at 6% compound interest.

a) How much is the investment worth at the end of three years?

b) How much interest has been earned?

Answers

Answer:

I think its A 1200

Step-by-step explanation:

A farmer is constructing a rectangular pen with one additional fence across its width. Find the maximum area that can be enclosed with 480 yards of fencing.

Answers

The maximum area that can be enclosed with 480 yards of fencing. is 28,530.5 square yards.

Let the length of the rectangular pen be denoted by L and its width be denoted by W.

From the problem statement, we know that the total length of fencing available is 480 yards. We can express this as an equation:

2L + W + 2 = 480

where the additional 2 is for the fence across the width.

Simplifying this equation, we get:

2L + W = 478

We want to find the maximum area that can be enclosed with this amount of fencing. The area of a rectangle is given by:

A = L × W

We can use the equation 2L + W = 478 to solve for one of the variables in terms of the other. For example, we can solve for W:

W = 478 - 2L

Substituting this expression for W into the equation for the area, we get:

A = L × (478 - 2L)

Simplifying this expression, we get:

A = 478L - 2L^2

To find the maximum area, we need to take the derivative of this expression with respect to L, set it equal to zero, and solve for L.

dA/dL = 478 - 4L

Setting this equal to zero and solving for L, we get:

478 - 4L = 0

L = 119.5

Substituting this value of L back into the equation for W, we get:

W = 478 - 2(119.5) = 239

Therefore, the dimensions of the rectangular pen that maximize the area are:

Length = 119.5 yards

Width = 239 yards

And the maximum area that can be enclosed with 480 yards of fencing is:

A = L × W = 119.5 × 239 = 28,530.5 square yards.

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Can someone send me proxys that aren't blocked by iboss
and how do I removed chrome extensions that were added by a chrome administrator
I'm tryin to play fort night on geforce now browser but its blocked

Answers

Answer:

unblock miniproxy.com

Step-by-step explanation:

jayce travels 30 miles per hour in her car.how many miles does she travel in 4 hours

Answers

Answer:

120 miles

Step-by-step explanation:

30 miles per hour * 4 hours

120 miles

Answer:

She travels 120 miles in 4 hours.

Step-by-step explanation:

She travel in 4 hours = 30 miles × 4 = 120 miles

She travels 120 miles in 4 hours

Can someone help me find the slope of each set of ordered pairs?
The first is, (5, 7) and (-1, 3)
The second is, (-3, -5) and (3, -15)

I think the first is positive 2/3, but for the second I am stuck

Answers

Answer:

3-(-3) / -15-(-5)

= 3+3/-15+5

=6 /-10

= -3 /5

Hope it helps You

Mark as brainliest

if a is an n × n matrix such that a = p dp −1 with d diagonal and p invertible, then the columns of p must be eigenvectors of a.T/F

Answers

False. The columns of matrix P are not necessarily eigenvectors of matrix A. While the diagonal matrix D contains the eigenvalues of A, the eigenvectors are not explicitly determined by the columns of P.

False. The columns of matrix P are not guaranteed to be eigenvectors of the transpose of matrix A (A.T).

In the given equation, \(a = PDP^(-1),\)

where D is a diagonal matrix and P is an invertible matrix.

The diagonal elements of D represent the eigenvalues of matrix A, while the columns of P correspond to the eigenvectors of A.

When considering the transpose of matrix A (A.T), we have \((A.T) = (PDP^(-1)).T = (P^{(-1)})^T D^T P^T.\)

Taking the transpose of a product involves reversing the order of the matrices and transposing each matrix individually.

Therefore, we have \((A.T) = P^T D^T (P^{(-1)})^T.\)

Since P is an invertible matrix, its transpose \(P^T\) is also invertible. Similarly, the transpose of the inverse of \(P, (P^{(-1)} )^T,\) is also invertible.

However, the key point is that the diagonal matrix\(D^T\) is not guaranteed to have the same eigenvalues as matrix A.

The eigenvalues of A are present in D, but they may not remain on the main diagonal after transposing.

Thus, the columns of matrix P, which correspond to the eigenvectors of A, may not necessarily be the eigenvectors of A.T.

In conclusion, the statement is false.

The columns of matrix P do not have to be eigenvectors of the transpose of matrix A (A.T).

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PLEASE HELP I WILL MARK YOU BRAINLIEST!!

PLEASE HELP I WILL MARK YOU BRAINLIEST!!

Answers

Answer:

answer of this question is A

Find the values of a and b if the function y=2x^3+ax^2+bx+36 has
a local maximum when x=-4 and a local minimum when x=5.

Answers

We can solve this system of equations by substitution or elimination method. Solving, we find the values a = -52 and b = -32.

To find the values of a and b, we need to use the properties of local maximum and minimum points in a function.

First, let's find the derivative of the given function, y = 2x^3 + ax^2 + bx + 36, with respect to x. The derivative will give us the slope of the function at any given point.

y' = 6x^2 + 2ax + b

For a local maximum or minimum, the derivative of the function should be equal to zero. So, we set y' = 0 and solve for x to find the critical points.

6x^2 + 2ax + b = 0

Now, we have two critical points: x = -4 and x = 5.

At x = -4, the function has a local maximum. Substituting x = -4 into the derivative equation:

6(-4)^2 + 2a(-4) + b = 0

96 - 8a + b = 0    ----(1)

At x = 5, the function has a local minimum. Substituting x = 5 into the derivative equation:

6(5)^2 + 2a(5) + b = 0

150 + 10a + b = 0   ----(2)

Now, we have a system of two equations (1) and (2) with two unknowns (a and b). Solving this system of equations will give us the values of a and b.

From equation (1):

-8a + b = -96

From equation (2):

10a + b = -150

We can solve this system of equations by substitution or elimination method. Solving, we find a = -52 and b = -32.

The values of a and b are a = -52 and b = -32, respectively.

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According to recent data, women make up what percentage of workers in science and technology (STEM) fields in Canada and the United States, respectively?

A. 34% and 40%

B. 23% and 26%

C. 17% and 26%

D. 25% and 27%

E. 34% and 26%

Answers

According to recent data, women make up 34% and 26% of workers in science and technology (STEM) fields in Canada and the United States, respectively. The correct option is A. 34% and 26%.

According to recent data, women make up 34% and 26% of workers in science and technology (STEM) fields in Canada and the United States, respectively. This indicates that women are still underrepresented in STEM fields, despite the fact that there has been an effort to attract more women to STEM fields.

In both Canada and the United States, women have made significant progress in breaking down gender barriers in STEM fields. However, there is still work to be done to close the gender gap and increase representation of women in STEM fields.

Women's representation in STEM fields has increased in both Canada and the United States in recent years, but the percentage of women in STEM fields is still significantly lower than the percentage of men. More efforts are needed to close the gender gap in STEM fields and encourage more women to pursue STEM careers.

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determine the oreadred pair for (-10,3) whenitn it has been reflected over the y-axis

Answers

Answer:

I determined it's cherry pie because the typical slice size allows 10 slices and that is enough for 10 people to enjoy it's goodness quite amazing

For a one-way within-subjects ANOVA, the mean difference attributed to the manipulation is in the ________, and the mean difference attributed to individual differences is in the ________ of the test statistic. numerator; numerator denominator; numerator numerator; denominator denominator; denominator

Answers

Answer:

1. numerator;

2. denominator

Step-by-step explanation:

For a one-way within-subjects ANOVA, the mean difference attributed to the manipulation is in the NUMERATOR, and the mean difference attributed to individual differences is in the DENOMINATOR of the test statistic.

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Give at least two reasons why the Business Analyst should limitthe interview to a maximum length of one hour. erpetual Inventory Using Weighted AverageBeginning inventory, purchases, and sales for WCS12 are as follows:Oct. 1 Inventory 310 units at $913 Sale 170 units22 Purchase 360 units at $1229 Sale 200 unitsa. Assuming a perpetual inventory system and using the weighted average method, determine the weighted average unit cost after the October 22 purchase. Round your answer to two decimal places.$fill in the blank 1per unitb. Assuming a perpetual inventory system and using the weighted average method, determine the cost of goods sold on October 29. Round your "average unit cost" to two decimal places.$fill in the blank 2c. Assuming a perpetual inventory system and using the weighted average method, determine the inventory on October 31. Round your "average unit cost" to two decimal places. The table shows the last holiday destination of 60 people.HolidaydestinationsFrequency | Angle in France25Spain18Greece15Other2Complete the table and draw a pie chartto represent this information.Note: Please draw your pie chart in a 'clockwise' direction from the line already drawnand follow the order from the table (France, then Spain etc...). *PLS HELP*Suppose a and b give the populations of two states where a > b. Compare the expressions and tellwhich of the given pair is greater or if the expressions are equal.a-b5(select)b5 simplify (3x^2-5x+9) + (7x^2 + 8x - 15) Theme expressed in creons words Find the slope of the line that passes through (28, -25) and (27, 25). After a recent storm, one of the traffic lights in City Town, USA was damaged. Without this light back and working, the villagers of City Town cannot safely travel to get their favorite In-n-out burgers for lunch. Can you help them?The traffic light has weight 273 N. Assume that all lines connected to the traffic light are in tension and are straight lines. Point O is the origin, having coordinates (0,0,0).:Given coordinates for A, B, C and D,xAxA = -12 m yAyA = 6 m zAzA = 9 mxBxB = -12 m yByB = 7 m zBzB = -7 mxCxC = 18 m yCyC = 12 m zCzC = 0 mxDxD = -12 m yDyD = -3 m zDzD = 3 mTo fix the light, the cable dangling from point C must be attached to the light, which moves point D from its original location to the origin, O. Assume that the lengths of the wires between AD and BD can be adjusted as necessary.What are the tensions in each cable after the light has been fixed?|FAD|= ?|FBD|= ?|FCD|= ? Which of the following can cause the dissolution of the partnership absent an agreement to the contrary in the partnership agreement?A. the unanimous consent of all partners to dissolve the partnershipB. the consent of 2/3 of the partners to dissolve the partnershipC. the consent of a majority of the partners to dissolve the partnershipD. the demand of a single partner to dissolve the partnershipE. all of the above George is planning a dinner party for three other couples, his wife, and himself. He plans to seat the four couples around a circular table for 8, and wants each husband to be seated opposite his wife. How many seating arrangements can he make, if rotations and reflections of each seating arrangement are not considered different A company that rents DVDs from vending machines in grocery stores has developed the following probability distribution for the random variable X = the number of DVDs a customer rents per visit to 3 machine P(x) 0,5 03 0.1 0 | (a) Find and interpret the mean (expected value) of x (b) Find and interpret the standard deviation ofx Which element of the romantic movement is present in this excerpt from the "The Solitary Reaper" by William Wordsworth?Will no one tell me what she sings?--Perhaps the plaintive numbers flowFor old, unhappy, far-off things,And battles long ago:Or is it some more humble lay,Familiar matter of to-day?Some natural sorrow, loss, or pain,That has been, and may be again?Whate'er the theme, the Maiden sangAs if her song could have no ending;I saw her singing at her work,And o'er the sickle bending;--I listened, motionless and still;And, as I mounted up the hill,The music in my heart I bore,Long after it was heard no more.A. The poem is strongly nationalistic.B. The poem argues that high aspirations are good.C. The poem focuses on mysticism and the supernatural.D. The poem explores the inner world of an individual. what's the molecular geometry of SiCI4 Find the interval of convergence for the given power series.n=1 to [infinity] (x3)^n/(n(6)^n)The series is convergentfrom x = , left end included (enter Y or N):to x = , right end included (enter Y or N): For each of the following taxpayers indicate the applicable filing status and the number of children who qualify for the child credit.a. Jeffrey is a widower, age 71, who receives a pension of $10,000, nontaxable social security benefits of $12,000, and interest of $2,0000. He has no dependents.b. Selma is a single, full-time college student, age 20, who earned $6,800 working part-time. She has $1,700 of interest income and received $1,000 support from her parents.c. Olivia is married, but her husband left her three years ago and she has not seen or heard from him since. She supports herself and her 6 year old daughter. She paid all the household expenses. Her income consists of salary of $18,500 and interest of $800.d. Ruben is a single, full-time college student, age 20, who earned $6,800 working part-time. He has $250 of interest income and received $10,000 support from his parents.e. Cathy is divorced and received $12,000 alimony from her former husband and earned $35,000 working as an administrative assistant. She also received $2,500 of child support for her daughter who lives with her. Cathy filed the appropriate IRS form and gave up the dependency exemption to her former husband. in which of the following cases would the quantity of money demanded be smallest? question 11 options: a) r how is graffiti typically used as an art form?a. Walls are painted to blend in with the surroundingsb. History is recorded in an open-minded wayc. Individuals express their social and political opinionsd. Utilitarian art is created in two dimensions plz, help. I need it... chyron's sole source of income is from a restaurant that she owns and operates as a proprietorship. Any state income tax Crystal pays on the business net income must be deducted as a business expense rather than as an itemized deduction.TrueFalsefalseState and local income taxes imposed on an individual are deductible only as itemized deductions, even if the taxpayer's sole source of income is from a business. the following questions refer to the below molecules: (a) co2 (b) h2o (c) ch4 (d) c2h4 (e) ph3 question the molecule with the largest dipole moment