Most graduate schools of business require applicants for admission to take the Graduate Management Admission Council’s GMAT examination. Scores on the GMAT are roughly normally distributed with a mean of 527 and a standard deviation of 112. What is the probability of an individual scoring above 500 on the GMAT?HOW HIGH MUST AN INDIVIDUAL SCORE ON THE G-MAT IN ORDER TO BE THE HIGHEST 5%

Answers

Answer 1

The probability of an individual scoring above 500 on the GMAT is 0.5984.

What is Normal Distribution?

An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically toward either extreme. The distribution's mean is another name for the centre of the range.

Given:

[tex]\mu[/tex] = 527

[tex]\sigma[/tex] = 112

Now, z= (500-527)/112

z= -27/112

z= -0.2410

and, P( X>500)= P(z> -0.2401)

                        = 1- 0.4052

                        = 0.5984

Hence, the probability of an individual scoring above 500 on the GMAT is 0.5984.

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Related Questions

Round 2.486 to the nearest hundredth.

Answers

Answer:

2.490

Step-by-step explanation:

It is over the half point so, if it's over round up. if not, round down.

By selling an exhaust fan for Rs 1470,Mr Ekaraj gains 1/6 of its cost price. find its cost price.​

Answers

sorry ur on your own

HELP MEEEEEEEEE WITH THISS PROBLEMMN

Answers

Answer:

A-18.84

Step-by-step explanation:

just do 6×3.14=18.84

PWEASEEEEEE HELP MEEEEEEE

Answers

Answer:

x = 65

Step-by-step explanation:

x + 115 = 180

x = 65

Please help, my computer is about to die and this is due in a few minutes. Will mark brainlist if correct

Answers

Answer:

x = 1.5

Step-by-step explanation:

Based in the tangent-secant theorem,

KI*JI = HI²

KI = (x + 0.5)

JI = 0.5

HI = 1

Plug in the values

(x + 0.5)(0.5) = 1²

0.5x + 0.25 = 1

0.5x = 1 - 0.25

0.5x = 0.75

x = 0.75/0.5

x = 1.5

Which phrase best describes the translation from the graph y=6x^2 to the graph of y=6 (x+1)^2?

6 units right
6 units left
1 unit right
1 unit left

Answers

Answer:

1 unit left

Step-by-step explanation:

Here, we want to get the kind of transformation applied

From the given equations, we can see that the value 1 being added to 1 in the second equation is the difference

What this mean is that we have an issue with the x value

For x to move to x + 1, there is a translation to the tune of 1 unit in the left direction

A 45 foot ladder is set against the side of a house so that it reaches up 27 feet. If Latanya grabs the ladder at its base and pulls it 3 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 24 ft.) Round to the nearest tenth of a foot.

Answers

Answer:

22.4 ft

Step-by-step explanation:

The side of the ladder from the house will be 22.4 ft far.

What is the Pythagorean theorem?

Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

Given that a 45-foot ladder is set against the side of a house so that it reaches up to 27 feet. If Latanya grabs the ladder at its base and pulls it 3 feet farther from the house.

The distance will be calculated as,

a² + b² = c²

a² + (39)² = 45²

a² = 45² - 39²

a=√504

a = 22.4 ft

Therefore, the side of the ladder from the house will be 22.4 ft far.

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Help pls, my mother will beat me.

Answers

Answer: I think it is 521 inches cubed

Step-by-step explanation:

First, I found the surface area of the shape on the bottom. Then I did the same thing for the shape on the top and added them together. But I noticed there was one side on the top shape that I had to subtract from the total. That is how I got 521. But I'm not sure.

14. 6 • _____ = 3 • ____

Answers

Answer: 143°

Step-by-step explanation:

140+146=286

360-286=74

74/2=37

vertical angles are equal so using supplementary angles or vertical angle rule I can prove the angle labeled x is 143°

-2(p-1)+7p>32



I don’t know help

Answers

Here’s my work for your question.

What is the area of the shaded region?
3 cm

Answers

Answer:

7.74cm ^2

Step-by-step explanation:

a=pie * r ^2

3.14*3^2=3.14*9=28.26  then you know all sides of a square are equal and 3 is half of 1 side so 6*6-=36 36-28.26=7.74


Find the measure of one interior angle.
A) 108°
C) 90°
B) 120°
D) 135°

Answers

Answer:

If that's a square or rectangle, any corner will be 90°

Step-by-step explanation:

Answer:

Step-by-step explanation:

Option C - 90 Degrees

Mark as brainliest for further answers

The theater from the previous question sold a total of 97 tickets on the night they made $1048. Write and solve a system of equations to determine the number of adults who bought tickets that night.

Answers

Answer:

116.444$

Step-by-step explanation:

HELP!!!
And please don’t send a link it won’t let me download it

What is the standard deviation of the distribution?
0.89
The owner of a local movie theater keeps track of the
number of tickets sold in each purchase and makes a
probability distribution based on these records. Let X
represent the number of tickets bought in one
purchase. The distribution for X is given in the table.
0.95
O 1.41
1.99
Number of
Tickets
1
2
3
5
Probability
0.29
0.44
0.19
0.06
0.02

Answers

Answer:

The number of tickets purchased typically varies from the expected value by 0.95 tickets.

Step-by-step explanation:

The standard deviation of the distribution is 0.95.

What is Standard Deviation?

The standard deviation in statistics is a measure of the amount of variation or dispersion in a set of values. A low standard deviation implies that the values are close to the set's mean, whereas a high standard deviation shows that the values are spread out over a larger range.

We have

P (X = 1)= 0.29

P (X = 2) = 0.44

P( X= 3) = 0.19

P (X = 4) = 0.06

P (X = 5) = 0.02

The expected value is given by the sum of each value multiplied by it's respective probability, hence:

E(X) = 0.29(1) + 0.44(2) + 0.19(3) + 0.06(4) + 0.02 (5)

E(X) = 2.08

As, The standard deviation is the square root of the total of the difference squared between each value and the mean, multiplied by the likelihood of each value.

[tex]\sigma[/tex] = √0.29 (1- 2.08)² + 0.44(2- 2.08)² +.....+ 0.02 (5- 2.08)²

  = 0.95

Thus, the standard deviation is 0.95.

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Which of the following expressions is equal to 5 - 2m

Answers

Answer:

You didn't show any of the expressions

Step-by-step explanation:

Ana can eat 15 hamburgers in 3 minutes. How many hamburgers can she eat in one minute?
(2 points)

A.Ana can eat 50 hamburgers in one minute.

B.Ana can eat 3 hamburgers in one minute.

C.Ana can eat 5 hamburgers in one minute.

Answers

Answer:

C Ana can eat 5 hamburgers in one minute

Step-by-step explanation:

A is wrong you can tell B if you eat 3 burgers in one minute then you eat another 3 thats only 6 then for the three minutes she eats 9 so C is correct

A water sprinkler sends water out in a circular pattern. How many feet away from the sprinkler can it spread water if the area formed by the watering pattern is 1256.00 square​ feet? Use 3.14 for pi

Answers

Answer:

20 feet

Step-by-step explanation:

A water sprinkler sends water out in a circular pattern. How many feet away from the sprinkler can it spread water if the area formed by the watering pattern is 1256.00 square​ feet? Use 3.14 for pi

From the above question, we are to find the radius of the circular pattern

The formula for the Area of the circle = πr²

To find r

r² = A/π

r = √A/π

In the above question, Area = 1256 square feet

π = 3.14

r = √1256/3.14

r = √400

r = 20 feet

The radius/distance from the sprinkler that can spread water = 20 feet

Two triangles are similar. The sides of the first triangle are 8, 9 and 12. The smallest side of the second triangle is 6. Find the other two side lengths.

Answers

Answer:

second side = 6.75

third side = 9

Step-by-step explanation:

6/8 = 9/x

8x = 54

x = 6.75

8/12 = 6/y

8y = 72

y = 9

Answer:

Correct answer A. two-thirds and Correct answer D. three-halves

Step-by-step explanation

they have to be the same fraction or flipped

PLEASE help plssss no links and silly answers

Answers

Answer:

(H)

Step-by-step explanation:

Less than signs are <

Greater than signs are >

Since in this case x is the number

7 has to be less than x which is x<7

Answer:

f

Step-by-step explanation:

Ifm AGD = 72°, then what is m DGB?
G/1
B
3/2
E
1
6
Answer for: m DGB

Answers

Answer:

Cheeeeseeeeii

Step-by-step explanation:

Cheeeeseee

2. Find the slope of the line graphed below!
Remember
Rise
Run
10

Answers

Answer:

-1/3

Step-by-step explanation:

Figure ABCD Is a parallelogram

What are the measures of angles B and D

Answers

Need a photo bruvvvvvvvvv

Which expression is not equal to 1?

sin θ csc θ

cos θ sec θ

tan θ cot θ

sin θ cos θ

Answers

Hopes this helps if it is wrong I am so sorry:

Answer: sin 0 cos 0

sin θ cos C

Step-by-step explanation:

Suppose,  θ=30°

Suppose,

     sin θ cos θ=1

 ⇒sin30°cos30°=1

 ⇒[tex]\frac{1}{2}[/tex]×[tex]\frac{\sqrt{3\\} }{2}[/tex]=1

 ⇒[tex]\frac{\sqrt{3} }{4}[/tex]≠1

¿De quién nos habla el texto ?¿pudiste imaginar como ese personaje? ¿porque?

Answers

Answer:

lo siento, no entiendo esta pregunta, pero esta aplicación es para ayudar con cosas como las matemáticas.

Step-by-step explanation:

Intr un album numarul de fotografii s a micsorat cu 50%. Cu cat trebuie sa se mareasca pentru a reveni la numarul initial? Raspunsul trebuie sa fie 100%.

Answers

Răspuns:

100%

Explicație pas cu pas:

Permiteți numărul inițial de fotografii = x

x - 50% din x = x - 0,5x = 0,5x

0,5x + câte% din 0,5x = x

x - 0,5x = y% de 0,5x

0,5x / 0,5x = 1

Prin urmare,

100% = 1

Prin urmare, x trebuie mărit cu 100% pentru a reveni la numărul original.


PLS ACTUALLY ASNWER

Answers

Answer:

the first one, no

the second one, yes I think?(its def not no)

the third one, yes

Step-by-step explanation:

Mr. Wedmore works at a car dealership and earns
a monthly salary of $2,000. He also earns 25%
commission on the gross profit of the car sales. If
Mr. Wedmore brought in $10,000 worth of profit
for the dealership, how much would he earn this
month?

Answers

Answer: $2,000. + 25% + $10,000= 12,500 Or  $2,000. - 25% - $10,000=8500

Step-by-step explanation:

Answer: $4,500

Step-by-step explanation: First, the monthly salary is $2,000 so this is part of the total already. The 25% commission is on the profit they earn and the profit they earned was $10,000. To find 25% of $10,000, you do 10,000 times 0.25 which is $2,500.

Total Earned: $2,000 (Monthly Salary) + $2,500 (Commission Amount) = $4,500

What is the term for a straight line extending from the center of a circle to the outside surface of a circle?

Answers

Answer:

radius

Step-by-step explanation:

hope this helps

Matt made a trip to his friend's house and back. On
the trip there he drove 24 miles per hour and on the
return trip he went 30 miles per hour. How long did
the trip there take if the return trip took 4 hours

Answers

————>
24 mph (? hour trip there)
<————
30 mph (4 hour return trip)

If the return trip took 4 hours, then that means the total miles away would be 120. Matt was driving at 30 mph and drove for four hours, After multiplying 30 by 4, you will get 120. Once you’ve done that, you can do 120 divided by 24. Now that you know how many miles away his friend’s house is, you can estimate the time it took him to arrive by driving at 24 mph. 120 / 24 = 5

Answer: 5 hours

If seven is subtracted from six times a number, the result is ten

Answers

Answer:

17/6

Step-by-step explanation:

6x-7=10

6x=10+7

6x=17

x=17/6

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