A graduate school entrance exam has scores that are normally distributed with a mean of 560 and a standard deviation of 90. What percentage of examinees will score between 600 and 700

Answers

Answer 1

26.8% of examinees will score between 600 and 700.

This question is based on z score concept.

A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values. Z-score is measured in terms of standard deviations from the mean. If a Z-score is 0, it indicates that the data point's score is identical to the mean score.

[tex]z={x-\mu \over \sigma }[/tex]

where:

μ is the mean

σ is the standard deviation of the population

Given:

μ = 560

σ = 90

For

600≤ X≤700

for x = 700

Z score =x - μ/σ

=(700 - 560)/90

      = 1.55556

P-value from Z-Table:

P(560<x<700) = P(x<700) - 0.5 = 0.44009

for x = 600

Z score =x - μ/σ

=(600 - 560)/90

      = 0.44444

P-value from Z-Table:

P(560<x<600) = P(x<600) - 0.5 = 0.17164

∴ P(600<x<700) = P(560<x<700) - P(560<x<600)

                           = 0.44009 - 0.17164

                          =0.26845

∴26.8% percentage of examinees will score between 600 and 700.

Learn more about Z score here :

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Related Questions

How far is the portion of her route from A to D? Round to the nearest whole number. Explain. I NEED IT BY TONIGHT SO PLSS SOMEONE HELP ME!

Answers

9514 1404 393

Answer:

  A to D is about 2087 ft

Step-by-step explanation:

For the portion of the path of interest, the sine and cosine relations apply.

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

__

AB is the adjacent side to the angle marked 33°, with hypotenuse 975 ft.

  cos(33°) = AB/(975 ft)

  AB = (975 ft)cos(33°) ≈ 817.70 ft

BC is the opposite side in the same triangle.

  sin(33°) = BC/(975 ft)

  BC = (975 ft)sin(33°) ≈ 531.02 ft

CD is the hypotenuse of the right triangle BCD. The side BC that we know is opposite the given angle, so the sine relation applies.

  sin(46°) = BC/CD

  CD = BC/sin(46°)

  CD = (531.02 ft)/sin(46°) ≈ 738.21 ft

__

Now we know the segments of the path of interest:

  A–D = AB +BC +CD

  A–D = 817.70 ft + 531.02 ft + 738.21 ft = 2086.93 ft

  A–D ≈ 2087 ft

_____

Additional comments

The attachment shows all of the segments computed working counterclockwise from A. The angles in triangle DEF are computed using the Law of Sines from sides DF and DE and angle DEF. Segments EG and GH are computed using the Law of Cosines.

When we get to points F, G, H, we find that there is some inconsistency with the locations that would be computed working clockwise using AB and angle BFA. This inconsistency shows up in an error in the 119° angle in the attached figure.

This means that segments on the back side of the route, along path EFGHA, will vary somewhat depending on how they're computed.

We assume that points B, C, F, G are collinear.

Are the ratios 16:8 and 4:2 equivalent?

Answers

Yes
16/4 is 4
8/2 is 4 as well
Making them equivalent

I need help really fast!!!

Answers

Answer:

by using Pythagoras law

16²=(2x²)²+(2x²)²(since base angle of isosceles triangle is equal

16²=4x⁴+4x⁴

16²=16x⁴

16=x⁴

[tex]x = \sqrt[4]{16} [/tex]

x=2

Identify the factors of x^2 − 4x − 12. (4 points)


a(x + 4)(x − 3)


b(x − 4)(x + 3)


c(x − 2)(x + 6)


d(x + 2)(x − 6)

Answers

Answer:

(x-6)(x+2)

Step-by-step explanation:

Describe the transformation that took place if f(x)=x? became f (x) = 0.2(x - 5)2 – 2

Answers

To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.

Shifted down 4 units.
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A right triangle is described as having an angle of measure six less than negative two times a number, another angle measure that is three less than negative one-fourth the number, and a right angle. What are the measures of the angles in degrees?​

Answers

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Yesterday, Jack drove 45 1/2 miles. He used 1 1/4 gallons of gasoline. What is the unit rate for miles per
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Answers

Answer: 36.4mpg

Step-by-step explanation:

45.5 : 1.25 = ? : 1

45.5 ÷ 1.25 = 36.4 mpg

Note- It would mean the world to me if you could mark me brainliest!

I am not a professional, I am simply using prior knowledge! That car also gets excellent gas mileage!

PLSS HELPPP

FIRST PERSON TO ANSWER GETS BRAINLIEST!!!

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answer: 38, 76, 65

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Answer:

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Step-by-step explanation:

HElp please thanks I’ll give Brainly

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Answer:

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Step-by-step explanation:

its 3 just trust me

when subtracting a negative, you add so it can be rewritten as -3 + 6
the answer is 3

Surat As-Sajdah is Surah:

options:
a) Makeya
b) Madaniya

Answers

Answer:

a

Step-by-step explanation:

SURAH AS-SAJDHA IS MAKEYH SURAH

The temperature in Minneapolis changed from -7 °F at 6 A.M. to 7°F at noon. How much did the temperature increase?

Answers

Answer:

14 degrees F

Step-by-step explanation:

Answer:

Step-by-step explanation:

from -7 degrees F to 0 are 7 degrees change

from 0 to 7 are also 7 degrees,

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Answers

Step-by-step explanation:

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Answers

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ii: 2/3, 2/5, 2/9, 2/11

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Answers

Answer:

$1.45

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Violet creates two spinners for a game. Each spinner is spun once, and the sum is recorded. The table represents the sums of the spinners and the frequency of each sum. A 2-column table with 7 rows. The first column is labeled sum with entries 5, 7, 9, 11, 13, 15, 17. The second column is labeled frequency with entries 1, 2, 3, 4, 3, 2, 1. What statement is true about the mean of the sums of the two spinners? The mean is 12. The mean is 16. The mean is the same as the median. The mean is the same as the range.

Answers

Answer:

c

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edg 2021

no one bothers to read why anyways

The first column is labeled sum with entries 5, 7, 9, 11, 13, 15, 17.

The second column is labeled frequency with entries 1, 2, 3, 4, 3, 2, 1.

We have given,

Violet creates two spinners for a game.

Each spinner is spun once, and the sum is recorded.

The table represents the sums of the spinners and the frequency of each sum.

A 2-column table with 7 rows.

What is the sum ?

The sum is the forword counting of the numbers.

The first column is labeled sum with entries 5, 7, 9, 11, 13, 15, 17.

The second column is labeled frequency with entries 1, 2, 3, 4, 3, 2, 1.

The follow me to get 50 points.

To learn more about the data visit:

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16,-8,4...;6th term
The 6th term of the sequence is______.

Answers

Answer:

- [tex]\frac{1}{2}[/tex]  

Step-by-step explanation:

1) 16

2) 16 ÷ ( - 2) = - 8

3) - 8 ÷ ( - 2) = 4

4) 4 ÷ ( - 2) = - 2

5) - 2 ÷ ( - 2) = 1

6) 1 ÷ ( - 2) =  - [tex]\frac{1}{2}[/tex]

PLS HELPPPPP!!!!!!! The probability that a student plays Animal Crossing is 8%. What is the probability that a student does not play Animal Crossing?

Answers

Answer:

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Step-by-step explanation:

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Answer:

91%

Step-by-step explanation:

If 8% is 8 out of 100, then the rest would be 91%, out of 100.

Subtract.
(6x + 5) - (x+3)
O A. 5x + 2
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0 D. 6x + 2

Answers

5x+2 A.
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Collect like terms. (6x-x)+(5-3)
Simplify to get 5x+2
Hope that helps!!

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

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Step-by-step explanation:

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Answers

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Answers

Answer:

Step-by-step explanation: 20x+15(160-x)=2625

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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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The total cost c for p pounds of ham ig each pound costs $3.18

Answers

Answer:

Since 1 pound of copper costs 3.18, C = 3.18p

please help I will give Brainlyest




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From the expression above, provide an example of each of the following: sum, term, product, factor, quotient, and coefficient. If any are not present, write "not present." (6 points)


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What is the value of the expression above when x = 2 and y = 3? You must show all work and calculations to receive full credit. (4 points)




hellllllp

Answers

Answer:

number one :

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what is the answer to 2 (r-4)+5(r+2

Answers

Answer:

7r + 2

Step-by-step explanation:

I hope this helps have a great day

Multiply 2 by (r-4) we will get
2r-8
Then multiply 5 by (r+2)
5t+10
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