is -x - 3 the same thing as x+3
please help I forgot

Answers

Answer 1

Answer: no it ain't

Step-by-step explanation:

let's substitute

-1-3 = -4

1+3 = 4

so like yea


Related Questions

Evaluate each function

Evaluate each function

Answers

The function is given as g(n) = -n + 5 then the value of g(1) is 4. the correct option is B.

What is a function?

Function is a type of relation, or rule, that maps one input to specific single output. . Simplification usually involves making the expression simple and easy to use later.

The procedure in mathematics to utilize and analyze the function or expression to make the function or expression uncomplicated or more coherent is called simplifying and the process is called simplification.

From the given function, g(n) = -n + 5

By plugging in the value of 'x' in the bracket, we have;

g(n) = -n + 5

g(1) = -1 + 5

g(1) = 4

Therefore, the value of function is 4.

Hence, the correct option is B.

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If o is in the middle of l t, where exactly is it located? If l t =16 cm, what is l o and o t

Answers

Answer:

\(LO = OT = 8cm\)

Step-by-step explanation:

Given

LT = 16cm

Required

Determine LO and OT

First, we have:

\(LO + OT = LT\)

From the question, we understand that O is the middle of LT

This implies that LO = OT

Substitute OT for LO in the above formula

\(OT + OT = LT\)

\(2OT = LT\)

Divide both sides by 2

\(OT = \frac{1}{2}LT\)

Substitute 16cm for LT

\(OT = \frac{1}{2} * 16cm\)

\(OT = 8cm\)

Recall that LO = OT

So;

\(LO = OT = 8cm\)

#5. What's the difference between a terminating decimal and non-terminating
decimal?

Answers

Answer:

A terminating decimal ends while a non-terminating decimals repeats itself.

Step-by-step explanation:

2.50-terminating decimal

2.3333...-non-terminating decimal

Answer:

good answer thats was a very helpful answer

2. A social media company claims that over 1 million people log onto their app daily. To test this claim, you record the number of people who log onto the app for 65 days. The mean number of people to log in and use the social media app was discovered to be 998,946 users a day, with a standard deviation of 23,876. 23. Test the hypothesis using a 1% level of significance. ​

Answers

The hypothesis test suggests that there is not enough evidence to reject the claim made by the social media company that over 1 million people log onto their app daily, as the  t-value (-1.732) is less than the critical value (-2.429).

Null hypothesis, The true mean number of people who log onto the app daily is equal to or less than 1 million.

Alternative hypothesis, The true mean number of people who log onto the app daily is greater than 1 million.

Level of significance = 1%

We can use a one-sample t-test to test the hypothesis.

t = (X - μ) / (s / √n)

where X is the sample mean, μ is the hypothesized population mean, s is the sample standard deviation, and n is the sample size.

Substituting the values, we get

t = (998,946 - 1,000,000) / (23,876 / √65)

t = -1.732

Using a t-distribution table with 64 degrees of freedom and a one-tailed test at a 1% level of significance, the critical value is 2.429.

Since the calculated t-value (-1.732) is less than the critical value (-2.429), we fail to reject the null hypothesis. There is not enough evidence to support the claim that more than 1 million people log onto the app daily.

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A survey was given to a random sample of 1350 residents of a town to determine whether they support a new plan to raise taxes in order to increase education spending. Of those surveyed, 64% of the people said they were in favor of the plan. At the 95% confidence level, what is the margin of error for this survey expressed as a percentage to the nearest tenth?

Answers

The margin of error for the survey, rounded to the nearest tenth, is approximately 4.0% when expressed as a percentage.

To determine the margin of error for a survey at the 95% confidence level, we need to calculate the standard error. The margin of error represents the range within which the true population proportion is likely to fall.

The formula for calculating the standard error is:

Standard Error = sqrt((p * (1 - p)) / n)

where p is the sample proportion and n is the sample size.

In this case, the sample proportion is 64% (or 0.64) since 64% of the 1350 surveyed residents support the plan.

Plugging in the values:

Standard Error = \(\sqrt{(0.64 * (1 - 0.64)) / 1350)}\)

\(= \sqrt{(0.2304 / 1350)} \\= \sqrt{(0.0001707)}\)

≈ 0.0131

Now, to find the margin of error, we multiply the standard error by the appropriate critical value for a 95% confidence level. The critical value corresponds to the z-score, which is approximately 1.96 for a 95% confidence level.

Margin of Error = z * Standard Error

= 1.96 * 0.0131

≈ 0.0257

Finally, to express the margin of error as a percentage, we divide it by the sample proportion and multiply by 100:

Margin of Error as Percentage = (Margin of Error / Sample Proportion) * 100

= (0.0257 / 0.64) * 100

≈ 4.0%

Therefore, the margin of error for this survey, expressed as a percentage to the nearest tenth, is approximately 4.0%.

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4. Show that the matrix [XX-X'Z(ZZ)-¹Z'X). where both the x & matrix X and the x matrix Z. have full column rank and m2, is positive definite. Discuss the implications of this result in econometrics.

Answers

To show that the matrix A = [XX - X'Z(ZZ)^(-1)Z'X] is positive definite, we need to demonstrate two properties: (1) A is symmetric, and (2) all eigenvalues of A are positive.

Symmetry: To show that A is symmetric, we need to prove that A' = A, where A' represents the transpose of A. Taking the transpose of A: A' = [XX - X'Z(ZZ)^(-1)Z'X]'. Using the properties of matrix transpose, we have:

A' = (XX)' - [X'Z(ZZ)^(-1)Z'X]'. The transpose of a sum of matrices is equal to the sum of their transposes, and the transpose of a product of matrices is equal to the product of their transposes in reverse order. Applying these properties, we get: A' = X'X - (X'Z(ZZ)^(-1)Z'X)'.  The transpose of a transpose is equal to the original matrix, so: A' = X'X - X'Z(ZZ)^(-1)Z'X. Comparing this with the original matrix A, we can see that A' = A, which confirms that A is symmetric.  Positive eigenvalues: To show that all eigenvalues of A are positive, we need to demonstrate that for any non-zero vector v, v'Av > 0, where v' represents the transpose of v. Considering the expression v'Av: v'Av = v'[XX - X'Z(ZZ)^(-1)Z'X]v

Expanding the expression using matrix multiplication : v'Av = v'X'Xv - v'X'Z(ZZ)^(-1)Z'Xv. Since X and Z have full column rank, X'X and ZZ' are positive definite matrices. Additionally, (ZZ)^(-1) is also positive definite. Thus, we can conclude that the second term in the expression, v'X'Z(ZZ)^(-1)Z'Xv, is positive definite.Therefore, v'Av = v'X'Xv - v'X'Z(ZZ)^(-1)Z'Xv > 0 for any non-zero vector v. Implications in econometrics: In econometrics, positive definiteness of a matrix has important implications. In particular, the positive definiteness of the matrix [XX - X'Z(ZZ)^(-1)Z'X] guarantees that it is invertible and plays a crucial role in statistical inference.

When conducting econometric analysis, this positive definiteness implies that the estimator associated with X and Z is consistent, efficient, and unbiased. It ensures that the estimated coefficients and their standard errors are well-defined and meaningful in econometric models. Furthermore, positive definiteness of the matrix helps in verifying the assumptions of econometric models, such as the assumption of non-multicollinearity among the regressors. It also ensures that the estimators are stable and robust to perturbations in the data. Overall, the positive definiteness of the matrix [XX - X'Z(ZZ)^(-1)Z'X] provides theoretical and practical foundations for reliable and valid statistical inference in econometrics.

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find an equation of an ellipse with foci at (-3,0) and (3,0), length of the major axis is 10.

Answers

the equation of the ellipse with foci at (-3,0) and (3,0) and a length of the major axis of 10 is \(25x 2 ​ + 16y 2 ​ =1.\)

To find the equation of an ellipse with foci at (-3,0) and (3,0) and a length of the major axis of 10, we can use the standard form of the equation for an ellipse centered at the origin:

\(\[ \frac{x^2}{a^2} + \frac{y^2}{b^2} = 1 \]\)

where\(\( a \)\) is the semi-major axis and \(\( b \)\)is the semi-minor axis.

The distance between the foci is equal to \( 2c \), where \( c \) is the distance from the center of the ellipse to each focus. In this case, \( c = 3 \), so \( 2c = 6 \).

The length of the major axis is equal to \( 2a \), so \( 2a = 10 \), which means \( a = 5 \).

Now we can find the value of \( b \) using the relationship:

\[ c^2 = a^2 - b^2 \]

Plugging in the values we know:

\[ 3^2 = 5^2 - b^2 \]

\[ 9 = 25 - b^2 \]

\[ b^2 = 25 - 9 \]

\[ b^2 = 16 \]

\[ b = 4 \]

Finally, we can substitute the values of \( a \) and \( b \) into the equation:

\[ \frac{x^2}{5^2} + \frac{y^2}{4^2} = 1 \]

which simplifies to:

\[ \frac{x^2}{25} + \frac{y^2}{16} = 1 \]

Therefore, the equation of the ellipse with foci at (-3,0) and (3,0) and a length of the major axis of 10 is \( \frac{x^2}{25} + \frac{y^2}{16} = 1 \).

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15
Sarah, Natasha and Richard share some sweets in the ratio 5:2:2. Sarah gets 21 more sweets
than Richard. How many sweets does Natasha get?

Answers

Answer:

natasha gets 14 sweets

Step-by-step explanation:

7x2=14

7x5=35

35-14=21

The orbit of a comet in a video game can be defined by the equation (x - 56)^2/150 + (y - 28)^2/256 = 1. Which of the following is true about the path of the comet on the screen?
Check all that apply.
The major axis is horizontal.
The center is at (–56, –28).
The length of the major axis is 32 units.
The length of the minor axis is 150 units.
One of the foci is approximately .

Answers

Answer:

C & E

Step-by-step explanation:

Answer:

C.) The length of the major axis is 32 units.

E.) One of the foci is approximately

Step-by-step explanation:

The orbit of a comet in a video game can be defined by the equation (x - 56)^2/150 + (y - 28)^2/256 =

Anyone know the answer to all of them added together

Anyone know the answer to all of them added together

Answers

Answer:

13x + 14

Step-by-step explanation:

5x + 6 + 3x = 8x + 6.

8x + 6 + x + 1 + x + 1 + 2= 10x + 10

10x + 10 + (2²)(i think) = 10x + 14

10x + 14 + 3x = 13x + 14

final answer

Answer:

\(13x+14\)

Step-by-step explanation:

First take all the sides and add:

\(5x+6+3x+3x+2+2+2+x+1+x+1\)

Then Combine Like terms:

\(5x+3x+3x+x+x+6+2+2+2+1+1\)

There is your answer:

\(13x+14\)

(If I misunderstood the handwriting, please tell me, and I will fix my mistakes)

1. A ride in a cab costs $0.60 plus $0.14 per mile.

a. Write an equation for traveling x miles in the cab.

b. The cab charges $0.88 for a ride of how many miles?

c. How much does the cab charge for a trip of 8 miles?​

Answers

The equation for traveling x miles in the cab can be written as:

Cost = $0.60 + $0.14 * x. The cab charges $0.88 for a ride of 2 miles. And the cab charges $1.72 for a trip of 8 miles.

a. The equation for traveling x miles in the cab can be written as:

Cost = $0.60 + $0.14 * x

b. To find the number of miles for a cab ride that costs $0.88, we can set up the equation:

$0.88 = $0.60 + $0.14 * x

Subtracting $0.60 from both sides, we get:

$0.88 - $0.60 = $0.14 * x

$0.28 = $0.14 * x

Dividing both sides by $0.14, we find:

x = $0.28 / $0.14

x = 2 miles

Therefore, the cab charges $0.88 for a ride of 2 miles.

c. To calculate the cost of a trip of 8 miles, we can substitute x = 8 into the equation:

Cost = $0.60 + $0.14 * 8

Cost = $0.60 + $1.12

Cost = $1.72

Therefore, the cab charges $1.72 for a trip of 8 miles.

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Write this number in words: 1.001510512 (with decimals)

Answers

The decimal 1.001510512 when written in words is;

One and one million five hundred ten thousand five hundred and twelve hundred millionths

Write the decimal in words?

We can write decimal in words by acknowledging the fact that one part is a whole number while the other part is a fraction. For example;

20.009 in words is; Twenty and nine thousandths

8.406 in words is; Eight and four hundred six thousandths

26.0502 in words is; Twenty-six and five hundred two ten thousandths

6.5904 in words is; Six and five thousand nine hundred four ten thousandths

63.1254 in words is; Sixty-three and one thousand two hundred fifty-four ten thousandths

Thus, we can conclude that the decimal 1.001510512 when written in words is;

One and one million, five hundred ten thousand five hundred and twelve hundred millionths

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THIS IS TO ALL THE PEOPLE ANSWERING WITH UN KNOWN LINKS

THIS IS TO ALL THE PEOPLE ANSWERING WITH UN KNOWN LINKS

Answers

Answer:

right i hate that so much

Step-by-step explanation:

Answer:

I feel the same though. So no need to feel bad. I hope you don't get scammed by anymore of them. BTW I have some more information on them on some of my questions if you wanna look. :) If they are still there though. Lol...

Explain how you can find the LCM of 8 and 10

Answers

Answer:

Step-by-step explanation:

The LCM of 8 and 10 is 40. To find the least common multiple of 8 and 10, we need to find the multiples of 8 and 10 (multiples of 8 = 8, 16, 24, 32 . . . . 40; multiples of 10 = 10, 20, 30, 40) and choose the smallest multiple that is exactly divisible by 8 and 10, i.e., 40.

The graph of a line passes through the points (0, -2) and (6, 0). What is the equation of the line?


will give brainlist

Answers

Answer:

y=0.3x-2

Step-by-step explanation:

first find the gradient

m=y2-y1/x2-x1

m=0-(-2)/6-0

m=0.3

then use this equation

y-y1=m(x-x1)

y-(-2)=0.3(x-0)

y+2=0.3x-0

y=0.3x-2


a. List the first six terms of the arithmetic sequence and identify the common
difference.
a₁ = 7
an = an-1 + 4
b. Find a15-
c. Find the sum of the first 15 terms in the sequence.

a. List the first six terms of the arithmetic sequence and identify the commondifference.a = 7an = an-1

Answers

Answer:

a1=7

an=an-1+4

a2=a2-1+4

a2=a1+4

a2=7+4

a2=11

a3=a3-1+4

a3=a2=+4

a3=11+4

a3=15

a4=a4-1+4

a4=a3+4

a4=19

a5=23

a6=27

a15=62

The common difference is 4.

The sum is 517.

ill mark as brainliest if you help me with the question i posted abt 40 mins ago in math

Answers

What was the question you posted? maybe I can help.

37:53 Bok Suppose that x has a binomial distribution with n=202 and p= 0.44. (Round np and n(1-p) answers to 2 decimal places. Round your answers to 4 decimal places. Round z values to 2 decimal place

Answers

The mean (µ) and standard deviation (σ) of the binomial distribution with n=202 and p=0.44 are 88.88 and 7.8959, respectively. The probability of obtaining x=53 is approximately 0.0561, and the z-score for x=37 is -6.55.

To find the mean (µ) and standard deviation (σ) of the binomial distribution, we use the formulas µ = np and σ = sqrt(np(1-p)), where n is the number of trials and p is the probability of success.

Given n = 202 and p = 0.44, we can calculate the mean and standard deviation as follows:

µ = 202 * 0.44 = 88.88 (rounded to 2 decimal places)

σ = sqrt(202 * 0.44 * (1 - 0.44)) = 7.8959 (rounded to 4 decimal places)

Now, let's suppose we want to find the probability of obtaining a specific value of x, let's say x = 53. We can use the formula for the binomial probability:

\(P(x) = C(n, x) * p^x * (1 - p)^{n - x}\)

Substituting the values, we have:

\(P(53) = C(202, 53) * (0.44)^{53} * (1 - 0.44)^{202 - 53}\)

Using a binomial calculator or software, we can find the probability as approximately 0.0561 (rounded to 4 decimal places).

Finally, if we want to calculate the z-score for a given value of x, we can use the formula:

z = (x - µ) / σ

For x = 37, the z-score would be (37 - 88.88) / 7.8959 = -6.55 (rounded to 2 decimal places).

In conclusion, for a binomial distribution with n = 202 and p = 0.44, the mean is 88.88 and the standard deviation is 7.8959. The probability of obtaining x = 53 is approximately 0.0561. The z-score for x = 37 is -6.55.

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Ms. Snow decides that the next test will contain 25 questions and be worth 90 points. multiple choice questions are worth 3 points each and word problems are worth 4 points each. Answer each question below. show all work. answer in complete sentences and add labels where appropriateA. Define two variables to represent the situation B. write a system of equations to represent the scnerioC. how many of each type of question will be on Ms. Snows test?

Answers

Solution

Let multiple choice questions be x

and

Let word problems be y

The sum of points for all question = 90

The number of questions = 25

A) The two variables that represent the situation are x for multiple-choice questions and y for word problems

B) The system of equations to represent the scenario are

3x +4y = 90----------(1)

x + y = 25 ----------- (2)

C) From equation (1 ) y = 25-x

substituting for y in equation (1) yields

3x + 4(25-x) =90

3x + 100 - 4x = 90

3x -4x = 90 -100

-x = -10

Hence x = 10

Substituting for x = 10 in equation (2), we have

10 + y = 25

y = 25 -10

y = 15

Therefore, Ms. Snows' test will have 10 multiple choice questions and 15-word problem questions.

At 10 a.m. it was 93 degrees outside. At noon, the radio said that the temperature had tied the record-high of 102 degrees. How much did the temperature rise between 10:00 and noon

Answers

Step-by-step explanation:

I believe its 11% I hope this helped!

If x+3/3 = y+2/2, then x/3 = ______.

Show work please

Answers

Answer:

x/3=y/2

Step-by-step explanation:

x+3/3 = y+2/2

2(x+3)=3(y+2)

2x+6=3y+6

2x=3y

x/3=y/2

A pair of jeans that normally sells for $35 is on sale for 20% off. Find the sale price of the jeans. Then find the total cost of the jeans if the sales tax rate is 6%.

Answers

If a pair of jeans normally sells for $35 and is on sale for 20% off, the sale price can be calculated as follows:

Sale price = $35 - 20% of $35
Sale price = $35 - $7
Sale price = $28

Therefore, the sale price of the jeans is $28.

To find the total cost of the jeans including sales tax at a rate of 6%, we need to add the sales tax to the sale price. The sales tax is calculated as 6% of the sale price:

Sales tax = 6% of $28
Sales tax = $1.68

So, the total cost of the jeans is:

Total cost = sale price + sales tax
Total cost = $28 + $1.68
Total cost = $29.68

Therefore, the total cost of the jeans with sales tax included is $29.68.

Answer:

$29.68

Step-by-step explanation:

Find pretax cost with sale

35 x .8 = $28.00

Find 6% of 28.00

28 x .06 = $1.68

Add ans to 28

28 + 1.68 = $29.68

geologists have an interest in the structure and the history of the earth. a geologist can go back in time by drilling deep into the ground, retrieving a core sample, estimating the ages of the various layers, and examining the composition. a timeline can be built of the entire area from where the core sample was drilled. a geologist may retrieve several core samples to confirm the history of the earth's structure in that sampled area. mountains, lakes, and unstable ground can easily impede a simple random sampling of a desired geographical area, therefore what is the most realistic sampling method that represents the actual drillings, comparisons, and scientific examinations of several core samples within the same geographical area?

Answers

The most realistic sampling method that represents the actual drillings, comparisons, and scientific examinations of several core samples within the same geographical area is Cluster Sampling technique.

In cluster sampling, the total population is divided into homogeneous groups known as clusters and a simple random sample of the groups is selected. The elements present in each cluster are then sampled like a sample. In other words we can say each cluster is represent a tiny population set. We have, geologists have an interest in the structure and the history of the earth. In this study, the whole population is divided into groups based on retrieving a core sample, estimating the ages of the various layers, and examining the composition. After that a timeline can be built of the entire area for drilling the core sample. So, each set work as small population i.e., clusters. The sampling technique which is used here to represent the actual drillings, comparisons, and scientific examinations of several core samples within the same geographical area is known as cluster sampling.

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f (x) = 4x + 3. f(5)=23. which number is the input

Answers

Answer:

5

Step-by-step explanation:

its 5

The input in f(5) = 23 is 5.

How to determine the input number?

The function is given as:

f(x) = 4x + 3

In the above function, the input is x and the output is f(x)

This means that the input in f(5) = 23 is 5.

This is so because x = 5

Hence, the input in f(5) = 23 is 5.

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help me (2x−6)+4(x−3) =

Answers

Answer: 6−18

Step-by-step explanation:

Simplifying

(2x + -6) + 4(x + -3) = 0

Reorder the terms:

(-6 + 2x) + 4(x + -3) = 0

Remove parenthesis around (-6 + 2x)

-6 + 2x + 4(x + -3) = 0

Reorder the terms:

-6 + 2x + 4(-3 + x) = 0

-6 + 2x + (-3 * 4 + x * 4) = 0

-6 + 2x + (-12 + 4x) = 0

Reorder the terms:

-6 + -12 + 2x + 4x = 0

Combine like terms: -6 + -12 = -18

-18 + 2x + 4x = 0

Combine like terms: 2x + 4x = 6x

-18 + 6x = 0

Solving

-18 + 6x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '18' to each side of the equation.

-18 + 18 + 6x = 0 + 18

Combine like terms: -18 + 18 = 0

0 + 6x = 0 + 18

6x = 0 + 18

Combine like terms: 0 + 18 = 18

6x = 18

Distributive property (2x-6)+4x-12= 0
Combine like terms 6x -18=0
6x= 18
x= 3

Find the average rate of change for f(x)= x² + 3x - 6 for x₁
: 1 to 2 = 3

Answers

The average rate of change for  f(x)=3x²-3 from x =1 to x=2 is 6.

What is the average rate of change?

The average rate of change is the rate at which the value of function changed per unit  of independent variable over a given interval. Let f(x) be a function and value of x changes from x₁ to x₂ then rate of change of f(x) over the interval (x₁, x₂ ) is

[f(x₂)-f(x₁)]/[x₂-x₁]

Average rate of change = [f(x₂)-f(x₁)]/[x₂-x₁]

Given function is

f(x)=3x²+3x-6

x changes from 1 to 2

Then average rate of change for f(x) is \(\frac{f(2)-f(1))}{2-1}\)

\(f(2)=2^{2} +3(2)-6=4+6-6\\\\f(2)=4\\f(1)=1^{2}+3(1)-6 =1+3-6\\f(1)=-2\)

Average rate of change for f(x) is

\(\frac{f(2)-f(1))}{2-1}=\frac{4-(-2)}{2-1}\\ =\frac{6}{1}\)

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what tool do you use to draw cubes using one-point, two-point, or three-point linear perspective? in inkscape

Answers

The tool that you'd use to draw cubes on Inkscape is called "The 3-D Box" tool. Note that this is as per version 0.48.

What is Inkscape?

Inkscape is an open-source and free vector graphics editor that is mostly used to produce vector pictures in Scalable Vector Graphics format. Other formats are supported for import and export. Inkscape is capable of rendering rudimentary vector shapes and text.

The default format of Inkscape is Scalable Vector Graphics (SVG), however, it can also handle most image formats, including PDF, JPG, GIF, and PNG. Inkscape can also handle PostScript, Sketch, CorelDRAW, and other patented image formats with the use of free, downloadable extensions.

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Why does the test for homogeneity follow the same procedures as the test for independence?

Answers

Thus, the test for homogeneity follows the same procedures as the test for independence because the assumptions for performing the chi-square test for independence and chi-square test for homogeneity are the same.

The procedures for the chi-square test of homogeneity are the same as for the chi-square test of independence. The data is different for both tests. Tests of independence are used to determine whether there is a significant relationship between two categorical variables from the same population. One population is segmented based on the value of two variables. So there will be a column variable and a row variable.

The chi-square test of homogeneity of proportions can be used to compare population proportions from two or more independent samples, determining whether the frequency counts are distributed identically among different populations.

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Which of the accounts listed below varies with sales? Select one: a. accounts receivable b. cost of goods sold c. administrative salaries d. A and B e. None of the above.

Answers

The correct answer is D: A and B ( Accounts receivable and cost goods )

Accounts receivable represents the amount of money owed to a company by its customers for goods or services that have been delivered but not yet paid for. As sales increase, the amount of accounts receivable also tends to increase since more customers will have outstanding balances.

Cost of goods sold (COGS) represents the direct costs associated with producing or purchasing the goods that are sold by a company. It includes the cost of raw materials, labor, and other direct expenses. As sales increase, the COGS also tends to increase since more goods are being produced or purchased for sale.

COGS is directly influenced by the level of sales because it is tied to the inventory turnover. When goods are sold, their associated costs are transferred from the inventory account to the COGS account. As sales increase, more goods are sold, and therefore, more costs are transferred to COGS.

COGS is calculated by subtracting the ending inventory value from the sum of the beginning inventory and the purchases made during a specific period. It is a key component in determining a company's gross profit and gross profit margin, which are important indicators of profitability.

On the other hand, administrative salaries (option c) typically do not vary directly with sales. Administrative salaries are usually fixed expenses that are paid to employees for their administrative roles regardless of the level of sales.

Therefore, the correct answer is option d. A and B, as both accounts receivable and cost of goods sold vary with sales.

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An ANOVA procedure is used for data obtained from four populations. Four samples, each comprised of 30 observations, were taken from the four populations. The numerator and denominator (respectively) degrees of freedom for the critical value of F areSelect one:A. 3 and 30B. 4 and 30C. 3 and 119D. 3 and 116

Answers

The numerator and denominator is D. 3 and 116.

What is numerator and denominator?

In fractions, the numerator and denominator are the two constituent parts. They comprise fractions, in other words. A fraction's top digit is always referred to as the numerator. It displays the quantity of our parts. A fraction's numerator—the lowest digit—is referred to as the denominator. It displays the overall number of pieces that something can be broken down into.

For an ANOVA procedure with k groups (in this case, k=4), the degrees of freedom for the numerator and denominator of the F-statistic are given by:

- Numerator degrees of freedom: k-1

- Denominator degrees of freedom: n-k, where n is the total sample size (in this case, n=4*30=120)

Therefore, for the given ANOVA procedure with four samples of 30 observations each, the numerator and denominator degrees of freedom for the critical value of F are:

- Numerator degrees of freedom: 4-1 = 3

- Denominator degrees of freedom: 120-4 = 116

So the answer is D. 3 and 116.

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