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There are two college entrance exams that are often taken by students, Exam A and Exam B. The composite score on Exam A is appro

elena55 [62]

Answer:

B.The score on Exam A is better, because the percentile for the Exam A score is higher.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

Two exams. The exam that you did score better is the one in which you had a higher zscore.

The composite score on Exam A is approximately normally distributed with mean 20.1 and standard deviation 5.1.

This means that $\mu = 20.1, \sigma = 5.1$ .

You scored 24 on Exam A. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{24 - 20.1}{5.1}$

$Z = 0.76$

The composite score on Exam B is approximately normally distributed with mean 1031 and standard deviation 215.

This means that $\mu = 1031, \sigma = 215$ .

You scored 1167 on Exam B, s:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{1167 - 1031}{215}$

$Z = 0.632$

You had a better Z-score on exam A, so you did better on that exam.

The correct answer is:

B.The score on Exam A is better, because the percentile for the Exam A score is higher.

3 0

3 years ago

Mr. jovanovski is having wood flooring put in his rectangular living room. the area of the room is 234 square feet. the length o

OlgaM077 [116]

By definition the area of a rectangle is:
A = l * w
Where,
l: long
w: width
So we have to clear the width:
w = A / l
Substituting the values:
w = (234) / (18) = 13
w = 13 feets
answer
the width, in feet, of the room is 13

5 0

3 years ago

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Which figure has two circular faces?

Vladimir79 [104]

Answer:

Figure A

Step-by-step explanation:

Hope it helps.

7 0

3 years ago

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Find the equation that going through these points.<br><br>urgent!! will give the brainliest

vampirchik [111]

Answer:

The correct answer is y = -3x + 1.

Step-by-step Explanation:

First, you need to use the point slope formula to determine the slope. This is determined by the formula of the second y-coordinate (the y-coordinate in the second ordered pair) minus the first y-coordinate (the y-coordinate in the first ordered pair).

When subtracting the two values, you receive 7 - -5. You would use the KCC (keep, change, change) rule and keep positive 7, change the minus to addition, and turn negative 5 into positive 5. This gives you a value of 12.

Then, you use the same formula layout for the x-coordinates. Take the x-coordinate in the second ordered pair and subtract the x-coordinate in the first ordered pair to get -2 - 2 = -4.

Finally, to determine the slope, divide 12 and -4 to get -3.

Then, to get the y-intercept placed at the end, you will need to substitute the coordinate values from one of the ordered pairs into the equation y = -3x + b. I chose to use the first ordered pair, so:

-5 = -3(2) + b (Multiply the slope by x to earn the new value)

-5 = -6 + b (Add the -6 to the -5 to isolate the b)

1 = b (b = 1) (Learn that b = 1)

Your final equation will be y = -3x + 1.

8 0

3 years ago

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Please help 7(-37 + k) = 26

Georgia [21]

Answer:

7(k−37)=26

Divide both sides by 7

k−37= 26/7

Add 37 to both sides

k= 26/7 +37

Simplify 26/7 +37 to 285/7

k= 285/7

Decimal Form: 40.714286

3 0

3 years ago

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