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

What is UW? For brainliest

Answers

Answer:

UW = 5

Step-by-step explanation:

use the altitude rule and set up a proportion:

4/UW = UW/6.25

cross-multiply:

UW² = 25

UW = [tex]\sqrt{25}[/tex]

UW = 5

what is 1.4504 rounded to the neareast cent

Answers

Answer:

$1.45

When writing about money, you use the two places after the decimal. In the third place, the number is 0 which rounds down.

HElp please thanks I’ll give Brainly

Answers

Answer:

3

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

write the fraction in ascending order.​

Answers

from most to least:

i: 1/2, 1/3, 1/7, 1/10

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

iii: 5/6, 3/4, 2/3, 1/2

iv: 4/5, 3/4, 5/8, 1/2

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:

92%

Step-by-step explanation:

100-8=92

Answer:

91%

Step-by-step explanation:

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

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,

in total are 14 degrees in change

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]

Subtract.
(6x + 5) - (x+3)
O A. 5x + 2
B. 5x shig
C. 6x+8
0 D. 6x + 2

Answers

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

A scientist mixes x liters of water into a container that had 10 liters of a mixture that is 12% salt and 88% water. The function f(x)=

Answers

Answer:

110 liters of water

Step-by-step explanation:

The computation of the number of liters of water added is shown below:

Let us assume the x be the liters of water

f(x) represents the salt percentage in the mixture

Given that

f(x) = 1.2 ÷ x + 10

f(x) = 1% = 1 ÷ 100  = 0.01

Now out the f(x) value in the above equation

0.01 = 1.2 ÷ x + 10

x + 10  = 1.2 ÷ 0.01

x + 10 = 120

x = 110 liters

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


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

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!

Two mechanics worked on a car. The first mechanic worked for 20 hours, and the second mechanic worked for 5 hours. Together they charged a total of $2150. What was the rate charged per hour by each mechanic if the sum of the two rates was $145 per hour?

Answers

Answer:

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

20x+2400-15x=2625

5x=225

x=45

160-x=115

rate of first mechanic= $45/hr

rate of second mechanic=$115/hr

115 in hour I believe hope this helps!

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

The right angle is 90 degrees

PLSS HELPPP

FIRST PERSON TO ANSWER GETS BRAINLIEST!!!

Answers

answer: 38, 76, 65

explanation: i’m good at math

Answer:

top angle: 38bottom left: 77bottom right: 65

Step-by-step explanation:

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

Step-by-step explanation:

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:

https://brainly.com/question/19243813

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

Two skateboarders are trying to build a ramp with an angle of 41°and a height of 3 ft. Which expression gives the length or
ramp?​

Answers

7° how do to make an appointment with your braces and you get the one to get the one you want me

Explain how you can use ratios of the side lengths to find the angle measures of the acute angles in a right triangle.

Answers

Answer:

The answer is below

Step-by-step explanation:

Triangles are polygons with three sides and three angles. Types of triangles are isosceles, equilateral, scalene and right angled triangles.  

Trigonometric identities are equations that uses trigonometric functions to show the relationship between the angles in a right angle triangle and the sides of the right angled triangle.

If θ be an acute angle in a right angled triangle, hyp. is the hypotenuse side of the angle, opp. is the opposite side to the angle and adj. is the adjacent side to the angle, then:

sinθ = opp. / hyp.v;  cosθ = adj. / hyp. ; tanθ = opp. / adj.

A and B together complete a work in 20days. They worked together for 5days and B leaves. How long will A takes to finish the remaining work if A alone can finish the work 36days.

Answers

Answer:

27 days

Step-by-step explanation:

A alone, rate per day = 1/36

A and B together, rate per day = 1 / 20

Total Workdone for 5 days :

1/ 20 * 5 = 5 / 20 = 1/4

Fraction of work left :

1 - 1/4 = 3/4

3 / 4 * 36 /1

= (3 * 36) / 4

= 108 / 4

= 27 days

write a polynomial in standard form that represents the area of the shaded region.

Answers

(2x-9)(x+5)
Then expand
2x^2 +10x -9x -45
Simplify
2x^2 +x -45

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.

Surat As-Sajdah is Surah:

options:
a) Makeya
b) Madaniya

Answers

Answer:

a

Step-by-step explanation:

SURAH AS-SAJDHA IS MAKEYH SURAH

please help I will give Brainlyest




If the side lengths of a cube are 14 feet, what is the correct way to write the expression to represent the volume of the cube in exponential form? (2 points)



Group of answer choices

143

314

14 ⋅ 3.

14 ⋅ 14 ⋅ 14

Flag this Question
Question 23 pts
(06.01)

Simplify the expression 43 + 2(3 − 2). (3 points)

Group of answer choices

14

16

66

68

Flag this Question
Question 33 pts
(06.04)

What is the value of 5 + 3x when x = 4? (3 points)

Group of answer choices

12

17

32

86

Flag this Question
Question 410 pts
(06.02)

Match the verbal expression with its algebraic expression. (10 points)

Group of answer choices
x3

[ Choose ]
b ÷ 3

[ Choose ]
3a

[ Choose ]
y − 3

[ Choose ]
z + 3

[ Choose ]

Flag this Question
Question 52 pts
(06.03)

For the expression y + 6 − 3, determine the coefficient for the variable term. (2 points)

Group of answer choices

0

1

3

6

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Question 66 pts
(06.03)

9(5x + 1) ÷ 3y

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)


p
0 words

Flag this Question
Question 74 pts
(06.04)

4x + 1 over 3 y2

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 :

volume = LxWxH

as it is a cube all lengths are the same substitute the values in V= 14x14x14

exponent are when you multiply a value by itself for example 2x2 can be written as 2²

in this case , the answer would be option 1.14³

every angle of a equilateral triangle is_____.​

Answers

Every angle of an equilateral triangle is 60°

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
Let’s sum them
(2r+5r)+(10-8)
Which is equal
7r+2

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.
Vertical compression

Tyrone has 16 model airplanes on his shelf. He has 4 times as many model airplanes as model trains. How many model trains does Tyrone have?


Write multiplication and division equations to model and solve the problem. Use m for the unknown

Answers

Step-by-step explanation:

4m =16

divide both sides by 4

m = 4

he has 4 model trains

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

Answers

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

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:

help ?? ;;
um i cant find the answer to this question so any answer that makes sense would help !!

Answers

Answer: It's the top left because the line passes through 10 on the y axis.

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