Suppose SAT Critical Reading scores are normally distributed with a mean of 501 and a standard deviation of 110. A university plans to admit students whose scores are in the top 30%. What is the minimum score required for admission

Answers

Answer 1

Answer:

The minimum score required for admission is 558.75.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

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.

Suppose SAT Critical Reading scores are normally distributed with a mean of 501 and a standard deviation of 110.

This means that [tex]\mu = 501, \sigma = 110[/tex]

A university plans to admit students whose scores are in the top 30%. What is the minimum score required for admission

This is the 100 - 30 = 70th percentile, which is X when Z has a pvalue of 0.7. So X when Z = 0.525. So

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

[tex]0.525 = \frac{X - 501}{110}[/tex]

[tex]X - 501 = 0.525*110[/tex]

[tex]X = 558.75[/tex]

The minimum score required for admission is 558.75.


Related Questions

please help ill give brainliest
( 30 points )

Answers

Answer:

option 2

Step-by-step explanation:

Answer:

-2 2/3,   -2.5,   1.3,  1 1/2,   3

Step-by-step explanation:

So least to greatest

First we should look at the negatives

The smallest number is -2 2/3

The second smallest number is -2.5

The third smallest number is   1.3

The fourth smallest number is   1 1/2

The last number should be the biggest number which would be 3 in this problem

To make this easier you can convert all the fraction to decimal points too

-2 2/3 would be around -2.66

1 1/2 would be 1.5

Hope i helped you

(-1) + (-7) answer with work shown

Answers

Answer is -8

(-1)+(-7) turns into (1)+(7)=8 and then back to original which will be -8


What is the product of — 4and 2 3/5

Answers

Answer:

-10 2/5

Step-by-step explanation:

Step 1: Change to improper fraction

2 3/5 as an improper fraction is 13/5

Step 2: Multiply by -4

-4×13/5=-52/5

Step 3: Change back to Mixed fraction

-52/5 as a mixed fraction is -10 2/5

Answer is -10 2/5

hhhhhhhhhhhhhggggggggggg

Answers

Answer:

what???Just say something real here bc brainly will ban u

Solve the following proportion: k/4=33/20

Answers

Step-by-step explanation:

k/4=33/20

k=33/20×4

k=33/5

Answer:

k=6.6

Step-by-step explanation:

Please check the image attached.

I hope this helps!

Anyone please help me

Answers

I think it’s 5/4 because from (0,-1) you go up 5 and then left 4

Answer:

-5/4

Step-by-step explanation:

. If a student is randomly choosing the answer to each of ten true-false questions in a test, what is the probability that he will have at most one incorrect answer (express the answer with four decimal places)

Answers

Answer:

0.0107

Step-by-step explanation:

Given that:

Probability of success in choosing a true - false answer :

(Number of correct answers / number of options)

= 1/2 ; p = 0.5

Number of questions = number of trials, n = 10

Probability of having atmost one incorrect answer :

p(incorrect answer) = 0.5

P(x ≤ 1) = p(0) + p(1)

Using binomial distribution formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

When x = 0

P(x = 0) = 10C0 * 0.5^0 * 0.5^10

P(x = 0) = 1 * 1 * 0.0009765625

P(x = 0) = 0.0009765625

When x = 1

P(x = 1) = 10C1 * 0.5^1 * 0.5^9

P(x = 1) = 10 * 0.5 * 0.001953125

P(x = 0) = 0.009765625

P(x ≤ 1) = 0.0009765625 + 0.009765625

P(x ≤ 1) = 0.0107421875

Can please thank you

Answers

Answer:

She would need to work at least 11.363636 hours

Step-by-step explanation:

475+11x≥600

11x≥600-475

11x≥125

x≥125÷11

x≥ 11.363636

The circumference of a circle is 6π ft. What is the area, in square feet? Express your answer in terms of
π

Please help

Answers

Answer:

Circumference of the circle 2π(radius)=6π ft

Therefore, radius=3 ft

Area=π(radius)²=π×3²=9π ft²

9π ft² is the right answer.

The area of circle is 9π square feet.

What is area?

Area is the amount of area occupied by an object's flat (2-D) surface or shape.

The circumference of circle = 2πr

6 = 2πr

r = 3π

And the area of circle is πr².

The area of the circle = 9π

Therefore, the area of the circle is 9π square feet.

To learn more about the area;

https://brainly.com/question/27683633

#SPJ5

cover the costs:
Mrs. Smith is taking 120 students to a museum. She must collect the amounts below from each student
• $3.50 for the bus
• $2.70 for lunch
• $2.50 for admission to the museum
What is the total amount of money Mrs. Smith must collect from the students?
A. $720
OB. $934
C. $1,020
D. $1,044

Answers

Answer:

D. 1,044 is the total amount of money Mrs. Smith collected

Let N be the number of data entries in a population and n be the number of data entries in a sample data set. Describe the difference between the calculation of population standard deviation and sample standard deviation.

Answers

Answer:

Step-by-step explanation:

During the calculation of any population standard​ deviation, the sum of the squared deviation is usually divided by​ N, which is the number of data entry in the population. Thereafter, the square root of the result would be taken.

On the other hand, during the calculation of the sample standard​ deviation, the sum of the squared deviations is usually divided by n - 1, with n being number of entries in the sample data set. Thereafter, the square root of the result would be taken.

Please answer now i don't have much time.

Answers

50, 25, 10, 0, -10, -5
50 10 ejjdjdjdjdjdjjsjdjdjjdjdjdhdhdhhfjd

603.8 • 1,000 what is the equivalent expression

Answers

Answer

603800

Step-by-step explanation:

Yuh

Si nacio el 4 a.C y murio el 45 despues de cristo con cuantos años murió y cuanto hace desde que murio

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????

Step-by-step explanation:

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2/5x

Step-by-step explanation:

[character limit thing]

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2/5

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rise over run

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Answer:

Right cylinder

Step-by-step explanation:

Solve for surface arb

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For what value of x does 3 Superscript 2 x Baseline = 9 Superscript 3 x minus 4? 1 2 3 4

Answers

Answer:

b

Step-by-step explanation:

Answer: B.) 2

Step-by-step explanation:

Just took the test and got it correct

6
Solve for z.
(1 Point)
Z - 8 <1

Answers

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Step-by-step explanation:

Adding 8 to both sides gives [tex]Z < 1+8=9[/tex].

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Step-by-step explanation:

Have a great day!

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Step-by-step explanation:

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WRITE AN INEQUALITY THEN SOLVE IT

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the answer is 40.5

Step-by-step explanation:

your welcome

Eduardo worked 40 regular hours last week plus 7 hours over time at time and a half his gross pay was 757.50 what is his hourly rate.

Answers

Answer:

divide

Step-by-step explanation:

and youll find the answer

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What is the sale price of a $850 Xbox with a markdown of 20%?

Answers

$680 Dollars would be the price if you had to deduct 20%

Write two ratios that are equivalent to 5:4

Answers

Answer:

10:8

20:16

Step-by-step explanation:

Hope this helps!!!!!!

Answer: 10 : 8 and 15 : 12

Step-by-step explanation:

5 : 4 ⇔ 10 : 8  (multiply by 2)

5 : 4 ⇔ 15 : 12   (multiply by 3)

Hope I helped!

Please answer test !

What is the similarity ratio of VWXY to GDEF?
Your answer

Answers

Answer:

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Steven has 20 tickets to use at the carnival. Jared has 4 tickets to use at the carnival. How many times as much is the amount of tickets Steven has than Jared?

Answers

i accidentally answered this one instead of another one sorry

Steven has five times more tickets than Jared.

What is Multiplication?

'Multiplication is an operation that represents the basic idea of repeated addition of the same number.'

According to the given problem,

If we add the number of tickets till it equals Steven's number of tickets,

= 4 + 4 + 4 + 4 + 4

= 20

This can also be represented as 4 × 5 = 20

Hence, we can conclude that Steven has five times more tickets than Jared.

Learn more about multiplication here: https://brainly.com/question/22381241

#SPJ2

i need help pleasee! ASAPP

Answers

Answer:

see below

Step-by-step explanation:

[tex]x^{\frac{p}{r}}=\sqrt[r]{x^{p}}[/tex]

[tex]3a^\frac{5}{3} =\sqrt[3]{3a^5}[/tex]

Please help..? ASAP

Answers

Answer:

Answer is A and D, thats the most simple way I can give it to you.

Step-by-step explanation:

If no one answers, can I have brainliest?

Answer:

Answer is A and D

Step-by-step explanation:

Need help ASAP will mark Brainly

Answers

The answer is going to be 115 degrees

Answer:

115°

Step-by-step explanation:

its in the middle of 60° and 70°


PLEASE ANSWER THIS AND IF YOU DO YOU GET
1. FOLLOW
2. BRAINLIEST

Answers

Answer:

i will give you the answer

Step-by-step explanation:

but what do you need

do you need intersect,slope,y=mx+b form?

What is the m∠A in triangle ABC if m∠B = 35° and m∠C = 92°? *

Answers

In a triangle, all interior angles add up to 180, which means A + B + C = 180.

A + 35 + 92 = 180
A + 127 = 180
A = 53
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