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

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

Answers

Answer:

Step-by-step explanation:

400×1.2⁷ ≅ 1433 mice

Which statement is true about the points shown on the number line.

Answers

Answer:

The top right one is correct

Step-by-step explanation:

Hope I helped

Answer: the top right answer is correct.

Step-by-step explanation:

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

Answers

Answer:

10

Step-by-step explanation:

Divide both sides by 4

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

PLEASE HELP QUICK!!! GIVING BRAINLEST OUT

Answers

Answer:

44

Step-by-step explanation:

Answer:

use the pythagorean theorem to solve for the sides and the degree for both triangles so your using cos sin or tan im not sure which one

Step-by-step explanation:

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

sin(θ) = Opposite / Hypotenuse

cos(θ) = Adjacent / Hypotenuse

tan(θ) = Opposite / Adjacent

The sum of 3 consecutive even interfere is 258. What is the smallest number

Answers

Answer:

85 is the smallest number

12 The length of each side of regular pentagon
ABCDE is represented by 3x + 1. Which
expression represents the perimeter of the
pentagon?
A. 3x + 5
B. 15x + 1
C. 18x + 6
D. 15x + 5

Answers

Answer:

the answer is number b 15x + 1

At Silver Gym, membership is $25 per month, and personal training sessions are $30 each. At Fit Factor,
membership is $45 per month, and personal training sessions are $20 each. In one month, how many
personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?

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:

30x + 25 = 20x + 45                   (get Xs on one side by subtracting 20x)

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

10x = 20                                      (divide both sides by 10)

x = 2 personal training sessions to make the cost equal

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.
​, ​, ​, ​, ​, ​, ​, ​, ​,

Answers

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

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
these apples?

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.

To learn more about Multiplication, click :

https://brainly.com/question/29148612

#SPJ5

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

8. Find the value of x in the isosceles triangle.

Answers

X is 15 inches long.
Work is shown in the picture

Midtown Antiques has found that sales have decreased 5% from last year. Sales this year are $108,665. To the nearest dollar, find the amount of last year's sales. a. $115,384 c. $114,374 b. $114,384 d. $114,284

Answers

Answer:

b on edu

Step-by-step explanation:

which graph represents exponential decay​

Answers

The top one. Exponential decay means going down very quickly, like a steep line.

Exponential growth is going up, by the way.

Help plz:)))I’ll mark u Brainliest

Answers

Pretty sure the correct answer is x=18

Hope this helps!! :)

Help its pre-algebra haha help plz

Answers

Answer:

8 ramen bowls

4 pho bowls

Step-by-step explanation:

12-4=8

What is sample mean of 6,7,1,9,2,4,5,5,3,3,7,8

Answers

Answer:5 and 3

Step-by-step explanation: They are tho samples bc they are the ones tht are duplicated (x2)

Which is a possible solution for -4 LaTeX: >> X

Answers

[tex] \text { > }[/tex]

\tex {>} is to be written

The average cost of a bag of popcorn at the movie theater was $3.50 in 1995 and $4.75 in 2015 find the percentage change in the price of the bag of popcorn from 1995 to 2015 and classify as a percent increase or percent decrease

Answers

Answer:

500$ dollars

Step-by-step explanation:

pls help
the answer choices for the first one is.. added , subtracted
the second one is.. added , subtracted
the third one is.. added , subtracted

tysm <3 i’ll mark brainliest

Answers

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

p divided by 7. The algebric expresstion is ?​

Answers

Answer:

Step-by-step explanation:

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


The second one Thank you

Answers

11 days for the second question

-3=x/20 (solve) (math)

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

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.

Finding the x-intercepts of a function is essential in graphing, solving equations, and understanding the behavior of the function.

These points represent the locations where the function crosses or touches the x-axis, indicating where the dependent variable (usually denoted as "y") is equal to zero.

Learn more about X-intercepts click;

https://brainly.com/question/14180189

#SPJ6

7-1 Mathematical Literacy and Vocabulary Dilations

The column on the left shows the steps used to graph a dilation. Use the column on the left to answer each question in the column on the right.
Problem Graphing a Dilation.

What are the vertices of the image of ABC for a dilation centered at the origin with a scale factor of n = 2? Graph the image of ABC.


Read the problem. What do you need to find to solve the problem?​

Answers

Answer: Coordinates of the vertices of the vertices of the given imagen.

Jack paid $120 to have his bus fixed at an auto-repair shop.
The parts of the bus cost $72, and service was charged at $12
an hour. How many hours was the bus worked on?

Answers

Answer:

4 hours

Step-by-step explanation:

72+12x=120 and when you isolate x you get x=4

what is the mesaure of angle a

Answers

Answer:

i think its 133

Step-by-step explanation:

i just subtracted 47 from 180 bc the straight line is 180 angle

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°

Please help, I will give brainliest.

Answers

Answer:

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

c! HOPE THIS HELPS.
Other Questions
Describe how economic stability is measured. 'All riligions are equal the only difference in their name.' justify What is the best personality for someone to have in ur opnion and whyyy Please explain in detail and step by step Gareth believes that if he flips a coin 820 times, it will land heads up exactly 410 times. What would you tell Gareth about his prediction? the perimeter a rectangle is 46 in if the width of the rectangle is 9 inches what is the length please help with this question! will give brainleist MULTIPLE CHOICE QUESTIONCarbon films are cool because they leave You are walking on a moving walkway in the airport. The length of the walkway is 59.1 m. If your velocity relative to the walkway is 2.35 m/s, and the walkway moves with a velocity of 1.85 m/s, how long will it take you to reach the other end of the walkway who ever answers this question gets brainy How does Doppler ultrasound technology differ from ultrasound technologythat does not use the Doppler effect?A. Doppler ultrasound collects data from moving objects.B. Other ultrasound technology creates images, but Dopplerultrasound does not.C. Doppler ultrasound creates images, but other ultrasoundtechnology does not.D. Doppler ultrasound is based on absorption of sound, and otherultrasound technology is based on reflection. When a firecracker explodes, stored chemical energy turns into sound and light energy. What other type of energy is also released during this transformation? ill give brainliest JUST HELP ME PLEASE its due tmr, please be accurate Mike brought 480 crayons that came in packs of 15 how many packs of crayons did Mike buy What does$1 -$3 -$6 +$1= A company has $14,500,000 in taxable income. Consider the following corporate marginal tax rates: Taxable income ($) Tax rate 0- 50,000 15% 50,001- 75,000 25% 75,001- 100,000 34% 100,001- 335,000 39% 335,001- 10,000,000 34% 10,000,001- 15,000,000 35% 15,000,001- 18,333,333 38% 18,333,334+ 35% Attempt 1/10 for 10 pts. Part 1 What is the marginal tax rate for the company? What would you do if you got conflicting answers for the same procedure from two different people you interviewed? What would you do if one was a clerical person and the other was the department manager? I need to solve 6 2/3-21/6 The first step to solve the equation StartFraction x over 4 EndFraction minus three-fourths = 16 is shown below. StartFraction x over 4 EndFraction minus three-fourths + three-fourths = 16 + three-fourths Which property was applied in this step? PLZ HELPcould you plz answer question 21. A rabbit started at point 0 and made 3 jumps: a jump of 4 units, then a jump of 2 units, and then a jump of 1 unit. We do not know the direction of either jump. Where on the number line can this rabbit be now?2. Next time, the rabbit from the previous problem started at 10. Where on the number line can he be after the same three jumps?