7. The exam scores of MBA students are normally distributed with a mean of 950 and a standard deviation of 200. (Also explain all your answers using Graphical work)
a) if your score was 1390 what percentage of students have scored more than you ?
b) What are the minimum and the maximum values of the middle 87.4% of the scores?
c) If there were 165 students who scored above 1432. How many students took the exam?

Answers

Answer 1

The percentage of students that have scored more than you is 1.39%

How to illustrate the probability?

a) Probility that people scored more than Nancy = P(X>1390) = 1- P(X<1390).

Now z= (1390-950)/200

z= 2.2

P(Z<2.2) = 0.9861

So 1- P(X<1390) = 1 - P(Z<2.2) = 1 - 0.9861 = 0.0139

= 1.39 %

Let P1 be the % of people who score below 1100 and P2 be the % of people who scored below 1200

Then % of students between scores of 1100 and 1200 = P2 - P1

Z (X=1100) =0.75 and Z (X=1200) = 1.25

P1 = P(X<1100)= P (Z< 0.75) =0.7734

P2 = P(X<1200)= P (Z< 1.25) =0.8944

Then % of student between score of 1100 and 1200 = P2 - P1 = 0.8944 - 0.7734 = 0.121 = 12.10%

Middle 87.4 % score means that a total of 12.6 % of the population is excluded. That is 6.3% from both sides of the normal curve. So the minimum value for the middle 87.4% will the one which is just above 6.3% of the population i.e. it will have value x such that P(X<x)= .063.

z value (for P(X<x)= .063) = (-1.53)

But Z= (x-u)/ \sigma from here calculating x, x=644

The minimum value of the middle 87.4% score is 644

The maximum value for the middle 87.4 % of the scores will be the one that has 6.3% scores above it, i.e. it will have value x such that P(X>x)= .063.

P(X<x)= 1 -P(X>x)= 1 - 0.063 = 0.937.

Z value (for P(X<x)= 1.53

But Z= (x-u)/ \sigma from here calculating x, x=1256

The maximum value of the middle 87.4% score is 1256

Z value for (X=1432)= 2.41

P(Z<2.41) =0.9920

It means that 99.2 % of scores are less than 1432

So only 0.8% of scores are higher than 1432

but , 0.8% = 165

So 100% = 20625

20625 students took SAT

Learn more about probability on:

https://brainly.com/question/24756209

#SPJ1


Related Questions

Use substitution to solve the linear system of equations.
2y = X - 6
x=9
(9, 24)
(9, 3/2)
(3/2, 9)
(9,9)

Answers

Answer:

2y=X-6

×=9

(9, 3/2)

Step-by-step explanation:

Hope this help!

Answer: 65

Step-by-step explanation: 65

Please help a brotha out

Answers

Answer: a=1,b=1

Step-by-step explanation:

b

In a carnival game, there are six identical boxes, one of which contains a prize. A contestant wins the prize by selecting the box containing it. Before each game, the old prize is removed and another prize is placed at random in one of the six boxes. Is it appropriate to use the binomial probability distribution to find the probability that a contestant who plays the game five times wins exactly twice

Answers

Answer:

The probability that a contestant who plays the game five times wins exactly twice is [tex]16.08[/tex] %

Step-by-step explanation:

We will use binomial theorem here

[tex]C_{n,k}p^k(p')^{n-k}[/tex]

Substituting the available values in above equation, we get

[tex]C_{5,2} * \frac{1}{6}^2*\frac{5}{6}^3[/tex]

[tex]0.1608[/tex]

OR

The probability that a contestant who plays the game five times wins exactly twice is [tex]16.08[/tex] %

Who ever gets this right gets branliest

Answers

Answer:

2 1/2

Step-by-step explanation:

Answer: 2 1/2

Step-by-step explanation: Its positive and lands between 2 and 3 halfway

Each square in the grid is a 1 x 1 centimeter square.
What is the area of the shape?

Answers

8square centimeters

Step-by-step explanation:

1 square is 1cm2. theres 8 squares so 8cm2

8.15 = e + 6* the answer would be E=2.15 right if it’s not plz correct me if I’m wrong

Answers

I think his -4 because the E represents 2.5

2(-4y-7)+3=11 solve for y

Answers

Answer:

y = -11/4

Step-by-step explanation:

2 ( -4y - 7) + 3 = 11

-8y - 14 + 3 = 11

-8y - 11 = 11

-8y = 22

y = -11/4

Answer:

12

Step-by-step explanation:

-4 + 12 =7

I need to know the probability of a yellow marble not being drawn at all.

Answers

Answer:

9/13

Step-by-step explanation:

Determine whether the following statements are true and give an explanation or counterexample. If f is not one-to-one on the interval [a, b], then the are of the surface generated when the graph of f on [a, b] is revolved about the x-axis is not defined.

Answers

Answer:

Step-by-step explanation:

The missing equation is:

[tex]S = \int ^b_a 2 \pi f(y) \sqrt{1 + f' (y)^2 } \ dy[/tex]

Suppose f = nonnegative function whose first derivative is within (a,b) and it is continuous, Then the area of the surface generated is revolved about the x-axis:

The area of the surface revolution is:

[tex]S = \int ^b_a 2 \pi f(x) \sqrt{1 + f' (x)^2 } \ dx[/tex]

So; if  [tex]x = g(y)[/tex] for [tex]y \ \varepsilon \ [c,d][/tex]

Then; substituting a with c and b with d; f(x) also with g(y) and dx with dy;

Then;

[tex]S = \int ^d_c 2 \pi g(y) \sqrt{1 + g' (y)^2 } \ dy[/tex]

SInce;

[tex]g(y) \ne f(y)[/tex]; Then the statement is false.

Provided that the semicircle [tex]y = \sqrt{1-x^2}[/tex] isn't on [tex][-1,1][/tex] interval.

Then, the solid generated by the revolution about the x-axis is a sphere.

However, the surface is well defined and the statement is false.

What is the CIRCUMFERENCE of the given circle?
12.57 in
30.23 in
25.13 in
50.27 in

Answers

If the radius 4
Use — 2pi * radius
So.
2pi*4. = 25.13

7/8 percent equivalent to the nearest whole percent?

Answers

Answer:

88%

Step-by-step explanation:

7/8 = 87.5%

4x-5y=18 determine the missing coordinate in the ordered pair (-2,?) so that it will satisfy the given equation

Answers

?= -5.2

Because plug in numbers
(x,y)
4(-2) - 5y = 18
Pemdas
-8 -5y = 18
Add 8 to both sides
-5y = 26
Divide -5 both sides
y = -5.2

Check:
4(-2) -5(-5.2) = 18
Pemdas
-8 -5(-5.2) = 18
Pemdas, two negatives make a positive
-8 +26 = 18
18 = 18

Perhaps

In the parallelogram below, solve for Y
Options
4
10
25
100

Answers

Answer:

x = 4

y = 4

Step-by-step explanation:

the front triangle has two 40° angles (sum of all ∡'s must be 180°)

the unlabeled lower-left angle then is 40°; this angle corresponds to the angle in the other triangle labeled as 10y°

therefore, 10y = 40 so y = 4

Since opposite angles in a parallelogram are congruent then we can write:

40° + 25x° = 100° + 10(4)°

25x° = 140 - 40°

25x = 100°

x = 4

Two ships leave port at the same time. One travels north at 70 knots (that is, 70 nautical miles per hour), and the other west at 70 knots. The distance between the ships increases at a constant rate. At what rate is the distance between the two ships increasing

Answers

Answer:

99miles is more likely correct

or 114miles as knots is usually higher mileage

Step-by-step explanation:

70^2 + 70^2 = c^2

sqrt 4900 + sqrt 4900 = c^2

sq rt 9800 = c^2 = 98.9949494

99 x 1.1507794480225 = 113.927165 = 114miles if converted to 80.6m/ph

70 Knots is equivalent to 80.554561361578 Miles/Hour. How to convert from Knots to Miles/Hour The conversion factor from Knots to Miles/Hour is 1.1507794480225. To find out how many Knots in Miles/Hour, multiply by the conversion factor or use the Velocity converter.

Which expression represents the distance between the points (11, 4) and (5,8)?

Answers

Answer:

[tex]\displaystyle d = 2\sqrt{13}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point (11, 4) → x₁ = 11, y₁ = 4

Point (5, 8) → x₂ = 5, y₂ = 8

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]:                                                       [tex]\displaystyle d = \sqrt{(5-11)^2+(8-4)^2}[/tex][√Radical] (Parenthesis) Subtract:                                                                 [tex]\displaystyle d = \sqrt{(-6)^2+(4)^2}[/tex][√Radical] Evaluate exponents:                                                                    [tex]\displaystyle d = \sqrt{36+16}[/tex][√Radical] Add:                                                                                               [tex]\displaystyle d = \sqrt{52}[/tex][√Radical] Simplify:                                                                                         [tex]\displaystyle d = 2\sqrt{13}[/tex]

if ON=7x-5, LM= 6x+3, NM =x-4, and OL =2y+5, find the value of x and y given that LMNO is a parallelogram

Answers

Answer:

x=8, y=-1/2

Step-by-step explanation:

parallelogram's opposite sides are equal.

LM=ON, NM=OL

6x+3=7x-5, solve for x, x=8

x-4=2y+5

y=-1/2

A piece of fabric is 2 yards long. The fabric is cut into 24 pieces of equal length.

How long is each piece?

2 inches
3 inches
4 inches
6 inches

Answers

Answer:

3 inches

Step-by-step explanation:

Answer:

3 in

Step-by-step explanation:

A hot dog bun (volume 240cm3) with a density of 0.15g/cm3 is crushed in a picnic cooler into a volume of 195cm3. What is the density of the bun?

Answers

Answer:

weight of hot dog bun = 240 cm^3 x 0.15 g/cm^3 = 36 gram

36 gm / 195 cm^3 = 0.185 g/cm^3

Step-by-step explanation:

Density is mass/volume. The mass of the bun never changes, only its volume. Solve for the original mass.

Now think about it logically. Should the bun be more sense now that it has been crushed? Of course! The math proves it.

      Therefore the answer is: 0.185 g/cm^3

After 4 tests,Alex average score was 65.After the 5th test his average score increased by 5 .How much did he score in his 5th test?​

Answers

Answer:

329 вот правильный ответ

The flux hotel recently installed a triangular pool as shown below. If the hotel manager needs to order a cover for the pool and the cost is $35 per square foot, how much can he expect to spend?

Answers

Answer:

[tex]Total = \$6545[/tex]

Step-by-step explanation:

Given

[tex]Base = 17ft[/tex]

[tex]Height = 22ft[/tex]

[tex]Slant\ Height = 32ft[/tex]

[tex]Cost = \$35[/tex] per square ft

Required

Determine the expected spending

First, calculate the area of the pool.

[tex]Area = \frac{1}{2} * Base * Height[/tex]

[tex]Area = \frac{1}{2} * 17ft * 22ft[/tex]

[tex]Area = 17ft * 11ft[/tex]

[tex]Area = 187ft^s[/tex]

The total cost is:

[tex]Total = Cost * Area[/tex]

[tex]Total = 35 * 187[/tex]

[tex]Total = \$6545[/tex]

Find the Area Please​

Answers

Answer:

The area of this shape is super close/equal to 18.283 [tex]m^{2}[/tex]

Step-by-step explanation:

The area of this shape will be equal to the sum of the area of the trapezoid with the height being 4m and parallel lines being 2m and 4m long,  and the area of the semi-circle with the radius of 2m. And so we get...

Let "A" be the total area of this shape, then...

[tex]A = \frac{(a + b)h}{2} +[/tex] π[tex]r^{2}[/tex]/2

[tex]A = \frac{(2 + 6)4}{2} +[/tex]  π [tex]2^{2}[/tex]/2

[tex]A[/tex] ≈ 12 + 6.283

A ≈ 18.283 [tex]m^{2}[/tex]

What is 643 divided by 8.4?

Answers

643 divided by 8.4 = 76.5
Or if you round it to one decimal place 77 is the answer

Hi there!

643*8.4=76.5476190476

After lunch, you see the bumper cars and want to ride them. Here’s what the sign says:

Bumper Cars:

6 minutes: 8 tickets

8 minutes:12 tickets

Which one gives you more time for your money?

Answers

Answer:

The option of 6 minutes with 8 tickets given more time for the money.

Step-by-step explanation:

Which one gives you more time for your money?

We have to find the time per ticket, which is the number of minutes divided by the number of tickets.

6 minutes: 8 tickets

6/8 = 0.(60/8) = 0.75 minutes per ticket.

8 minutes:12 tickets

8/12 = 2/3 = 0.(20/3) = 0.667 minutes per ticket.

So the option of 6 minutes with 8 tickets given more time for the money.

Bill paid $45in tax on a laptop that cost $500. What percent sales tax did Bill pay?

Answers

Answer:

9%

Step-by-step explanation:

9% of 500 is 45

9% of 400 is 45 is the answer is 9%

HELP
Sairam has two jobs. He earns $8 per hour babysitting
his neighbor's children and he earns $11 per hour
working at the coffee shop.
Write an inequality to represent the number of hours,
x, babysitting and the number of hours, y, working at
the coffee shop that Sairam will need to work to earn
a minimum of $200.

Answers

Answer:

sairam will have to work around 18.18 hours at coffee shop to get 200$

Step-by-step explanation:

WHOEVER HELPS AND GETS IT RIGHT I WILL GIVE BRAINLY!!!!!

Answers

Answer:

3

Step-by-step explanation:

Option 3 I believe is correct

−3x−8y=−8
y=2−x

yes or no

Answers

Answer:

No

Step-by-step explanation:

-3x-8y=-8

3x+8y=8 (multiply all terms by -1)

8y=8-3x (take 3x from both sides)

y=1-(3/8)x (divide each term by 8)

1-(3/8)x ≠ 2-x

A restaurant has 23 tables. Some of the tables seat 4 persons and the rest seat two persons. In all, 76 persons can be seated at once. How many tables of each kind are there?

Answers

Answer:

15 tables with 4 seats and 8 tables with 2 seats.

Step-by-step explanation:

x = 4 seated tables

y = 2 seated tables

x + y = 23

4x + 2y = 76

Multiply first equation by -2 to cancel y's:

-2x - 2y = -46

4x + 2y = 76

2x = 30

x = 30 / 2

x = 15

And we said 23 tables so:

23 - 15 = 8

x = 15

y = 8

△XYZ is similar to △XVW. Enter the congruence statements that must be true.

The congruence statements that must be true are

Answers

Answer:

angle X is congruent to angle X

angle Y is congruent to angle V

angle Z is congruent to angle W

Step-by-step explanation:

Sapna and Robbie have some biscuits.
Altogether they have 14 biscuits.
Sapna has 2 more biscuits than Robbie.
How many biscuits do Sapna and Robbie each have?

Answers

Socratic < it’ll have the answer fs
Other Questions
What is the additive inverse of the number given below?6 Elaina and Allen just purchased a home using a deed of trust. Which of the following is most likely true about their home loan What is the most common reason someone may feel he or she is part of a group? The sale or maturity of investments in securities is a cash ______ activities section of the statement of cash flows. Multiple choice question. outflow in the financing inflow in the investing outflow in the operating outflow in the investing inflow in the operating inflow in the financing When researchers ask several questions about a topic, a respondent may employ a response set to either agree or disagree with all the questions. such tendencies are referred to as:_______ HELP PLS PLS PLS ILL MARK U BRAINLIEST The inside dimensions of a box are 12 inches long, 5 inches wide, and 2 inches deep.How many cubic inches does it contain?60110120240none of these a cone has a height of 16 centimeters and a radius of 12 centimeters. what is the exact lateral and surface area of the cone? type the correct answer in each box. use numerals instead of words. Read the following descriptions of rocks and layers, and identify the likelihood of each being a good aquifer by grouping them into high and low likelihoods True or falseMost scientists agree that cloning on a biome map, patches representing the same biome tend to occur at similar longitudes d) Arrange 8/9,7/18,10/16 in ascending order of magnitude Select the correct answer.Which practice would liberals in 1800s Europe most likely support?A. A government-maintained social class and hierarchyB. A constitution that protected citizens rights and freedomsC. The church holding influence over the governments decisionsD. A monarch having the final say in all political matters which example best shows how speeches can be interactive?A. Njoya makes sure his speech Read the statement from a paper on The Importance of Being Earnest. The Importance of Being Earnest contains the features of a comedy of manners. Which excerpt from the play best supports the statement What do you believe is the baseline value of robertson from your dcf? It takes 50.0 J to raise the temperature of an 10.6 g piece of unknown metal from 13.0C to 24.9 C.What is the specific heat for the metal?Express your answer with the appropriate units. A toaster has a resistance of 15 ohms and is plugged into a 90 V circuit. Determine the current. Help, please. I just need an answer, so if anyone is bored, for the love of god please... Mortgage loans that allow the borrower to switch among a variety of payment arrangements throughout the life of the loan are more commonly referred to as:_________ Troubled child actor carl switzer played which member of the beloved little rascals?.