In 2017 the SAT had a mean score of 1060 with standard deviation of 195 (max score of 1600) while the ACT had a mean of 20.9 with standard deviation of 5.6 (max composite score of 36). Reed and Maria apply to the same college. Maria took the SAT and received a score of 1270 while Reed took the ACT and received a score of 27. Which student performed better in relationship to their peers

Answers

Answer 1

Answer:

Due to the higher z-score, Reed performed better in relationship to their peers

Step-by-step explanation:

Z-score:

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

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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 question:

Whoever had the higher z-score performed better in relation to their peers.

Maria:

Took the SAT, grade 1270, so [tex]X = 1270[/tex]

Mean score of 1060 with standard deviation of 195 (max score of 1600). This means that [tex]\mu = 1060, \sigma = 295[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{1270 - 1060}{295}[/tex]

[tex]Z = 0.71[/tex]

Reed:

Took the ACT, score of 27, so [tex]X = 27[/tex]

Mean of 20.9 with standard deviation of 5.6, which means that [tex]\mu = 20.9, \sigma = 5.6[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{27 - 20.9}{5.6}[/tex]

[tex]Z = 1.09[/tex]

Due to the higher z-score, Reed performed better in relationship to their peers


Related Questions

pls help
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the second one is.. added , subtracted
the third one is.. added , subtracted

tysm <3 i’ll mark brainliest

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i’m pretty sure it’s added, subtracted, added !

The function f(x) = 400 * (1.2) ^ x models a population of mice after x years. What will the population be in 7 years ?

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Answer:

Step-by-step explanation:

400×1.2⁷ ≅ 1433 mice

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X is 15 inches long.
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The top one. Exponential decay means going down very quickly, like a steep line.

Exponential growth is going up, by the way.


The second one Thank you

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11 days for the second question

The ages​ (in years) of a random sample of shoppers at a gaming store are shown. Determine the​ range, mean,​ variance, and standard deviation of the sample data set.
​, ​, ​, ​, ​, ​, ​, ​, ​,

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Yeaaaa .....................

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Answer:

8 ramen bowls

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Step-by-step explanation:

12-4=8

6 Which expression below has a coefficient of 3?
A. 5r?+ 9
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C. 2x2 + 3x - 6
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g++4

Answers

Answer: C.

Step-by-step explanation:

C. is the only one with a 3 right next to the x. In 3x, 3 would be the coefficient)

WILL MARK BRAINLYIST

Answers

Answer:

a= 158

b=22

Step-by-step explanation:

First we have to find b in order to find a.

To find b we need to add up the two angles we know the value of and subtract it from 180.

90+68= 158

180-158=22

We know b is 22 because the sum of all angles in a triangle is always 180.

Now that we have b we can find a.

we know that a+b=180 so all we have to do is subtract 22 from 180 to get 158.

Answer:

b is 22° and a is 158°

Step-by-step explanation:

b can be calculated by angle sum property and a can be calculated using exterior angle sun property

In AJKL, the measure of ZL=90°, LK = 12, KJ = 37, and JL = 35. What ratio
represents the secant of K?

Answers

Answer:

37/12

Step-by-step explanation:

sec A hyp/adj

For angle K, the adjacent leg is LK. JK is the hypotenuse.

sec K = hyp/adj

sec K = 37/12

Please help, I will give brainliest.

Answers

Answer:

I believe it is c but don't quote me on it

c! HOPE THIS HELPS.

What is the measure of the missing angle
in the triangle below?
38
A 58°
B 52°
C 48°
D 42°

Answers

Answer:

B. 52°

Step-by-step explanation:

x + 38 + 90 = 180

x + 128 = 180

x = 180 - 128

x = 52°

The table shows the amount of apple
sauce made from one apple of each size.
Patrice has 17 medium apples and 23
large apples. What is the total amount
of apple sauce that she can make with
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Answers

Answer: 103/4 or 25.75 cups.

Explanation: We need to find the sum of the two types of apples times the cups of apple sauce one can make with them.

Thus, we have (1/2 cups*17 medium apples)+(3/4 cups*23 large apples)=103/4 or 25.75 cups.

Patrice can make a total amount of 25.75 cups of apple sauce.

What is Multiplication?

Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.

a × b means that a is added to itself b times or b is added to itself a times.

Patrice has 17 medium apples and 23 large apples.

Amount of apple sauce form a small apple = 1/3 cup

But Patrice does not have any small apples.

Amount of apple sauce from a medium apple = 1/2 cup

Amount of apple sauce from 17 medium apples = 17 × 1/2 cups

                                                                               = 8.5 cups

Amount of apple sauce from a large apple = 3/4 cup

Amount of apple sauce from 23 large apples = 23 × 3/4 cups

                                                                            = 17.25 cups

Total apple sauce made from 17 medium apples and 23 large apples = 8.5 cups + 17.25 cups = 25.75 cups

Hence the total amount of apple sauce that Patrice can make is 25.75 cups.

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Find the value of x so that the ratios are equivalent.
3:x and 12:40
X=
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Answers

Answer:

10

Step-by-step explanation:

Divide both sides by 4

Help plz:)))I’ll mark u Brainliest

Answers

Pretty sure the correct answer is x=18

Hope this helps!! :)

Another word for x-intercepts?

Answers

Answer:

X-intercepts are also called zeros, roots, solutions, or solution sets.

Another word for "x-intercepts" is "roots" or "zeros." These terms are commonly used in the context of mathematics, particularly when dealing with functions or equations.

X-intercepts, roots, or zeros of a function are the values of the independent variable (usually denoted as "x") for which the function evaluates to zero.

In other words, they are the points on the graph of the function where it intersects the x-axis, hence the name "x-intercepts."

Mathematically, for a function f(x), the x-intercepts are the solutions to the equation f(x) = 0.

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Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

i really hope this helps the question is really vague im sorry if this wasnt a help

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tan(θ) = Opposite / Adjacent

p divided by 7. The algebric expresstion is ?​

Answers

Answer:

Step-by-step explanation:

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Answers

Answer:

the answer is number b 15x + 1

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Answers

Answer:

2

Step-by-step explanation:

y = mx + b

y = total cost of the gym

m = cost per personal session

x = number of sessions

b = cost of one month

Silver gym:

y = 30x + 25

Fit Factor:

y = 20x + 45

Set them Equal to each other:

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10x + 25 = 45                              (isolate x by subtracting 25 from both sides)

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x = 2 personal training sessions to make the cost equal

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Answers

Answer:

x=-60

Step-by-step explanation:

Answer:

x=20+3

=23

x=23

Step-by-step explanation:

when the -3 crosses the equal to sign is changes to positive the rest is self explanatory

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

b on edu

Step-by-step explanation:

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