The incomes in a certain large population of college teachers have a normal distribution with a mean $75,000 and standard deviation $10,000. 16 teachers are selected at random from this population to serve on a committee. What is the probability that their average salary is more than $77,500?

Answers

Answer 1

Answer:

The probability that their average salary;

standard error

= 10,000/sqrt(16)

=10,000/4

= 2500  

(77,500 - 75000)/2500

2,500/2500

= 1  

p (z > 1) = .1587

So, the probability that their average salary is more than $77,500 is 0.1587

Step-by-step explanation:


Related Questions

Given the following information, find the length of the missing side. Leave your answer as a simplified radical.

Answers

Answer:

Long = 6√3

Step-by-step explanation:

Reference angle = 30°

Hypotenuse = 12

Long = Adjacent = ?

Apply CAH:

Cos 30 = Adj/Hyp

Cos 30 = Long/12

12*cos 30 = Long

12*√3/2 = long (cos 30 = √3/2)

6√3 = long

Long = 6√3

Answer:

6√3

Step-by-step explanation:

To find the long leg first we have to find the short leg because to find the long leg we need to use short · √3.

hypotenuse =12, short = 1/2 of hypotenuse so short leg = 6 and finally long leg = 6√3

20 POINTS FOR ANSWERING ALL PARTS

Answers

Answer:

wont let me download

Step-by-step explanation:

first one how you do it and the second one is the problem

Answers

You didn’t upload any picture maybe you forgot to

Solve the equation x^{2}-15x+52=0x
2
−15x+52=0 to the nearest tenth.

Answers

9514 1404 393

Answer:

  x = {5.4, 9.6}

Step-by-step explanation:

Adding and subtracting the square of half the x-coefficient can help you complete the square.

  (x^2 -15x +7.5^2) +52 -7.5^2 = 0

  (x -7.5)^2 = 4.25 . . . . . . add the opposite of the constant; write as a square

  x = 7.5 ±√4.25 . . . . . . . square root, add 7.5

  x ∈ {5.4, 9.6}

Solve these equations. Show solutions on a number line.

|x-7|=x-7

Answers

Answer:

X is equal to or greater than 7

Step-by-step explanation:

Since lx-7l is equal to x-7, this means that it can only work on places where the lines are on top of each other. In terms of x, this means that x must be at least 7. As you can see in the number line also attached.

If 5% of a number equals 8, find 50% of that number.

Answers

Answer:

80 will be the answer.

Step-by-step explanation:

Let the number be x.

5% of x=8

(5/100)*x=8

x=(8*100)/5

x=160

Now,

50% of 160

=(50/100)*160

=80

HELP DUE IN 2 MINUTESS!!!! PLS HELP
An Urn contains 6 red marbles and 9 white marbles. A marble is drawn and put back into the urn. Both marbles were red. If another marble is drawn, what is the probability of it being white?

Answers

Answer:

3/5

Step-by-step explanation:

favorable outcomes/total number of outcomes=probability

Answer:

[tex] \frac{3}{5} [/tex]

Step-by-step explanation:

Previous extractions do not influence the probability

need help ASAP :}}}}}

Answers

Answer:

The answer is 24

Step-by-step explanation:

(5x4) the first part 5x4 is 20 so then (1x4) the second part 1x4 is 4 so when you add 20 + 4 it will be 24.

Answer:

20 + 4

Step-by-step explanation:

Evaluate in the parenthesis first.

5 x 4 = 20

1 x 4 = 4

bring them down

20 + 4

Keep the plus sign.

The following triangles are similar. Solve for x:

Answers

Answer:

5

Step-by-step explanation:

Common factor: 4. Divide 20 by 4 to get 5

Answer: X=5

Step-by-step explanation:

Since the triangles are similar shape-wise, then that means that the sides are going to be similar numerically.

12/4 got us 3, which is the side of that smaller triangle. Since we divided 12 by 4, then we need to divide 20 by 4 to get the unknown side. 20/4 is 5, therefore x is 5.

Five friends want to share 5/6 of a pie equally what fraction of the whole pie should each friend receive?

Answers

Answer:

1/6

Step-by-step explanation:

Answer: 1/6

Step-by-step explanation: 1/6 because your splitting it equally among 5 friends so all five friends gets 1/6 pie

In a cookie jar, 1/4 of the cookies are chocolate chip and 2/3 of the rest are peanut butter. What fraction of all the cookies is peanut butter?

Answers

Answer:

1/2 of the cookies are peanut butter.

Step-by-step explanation:

Since 1/4 of the cookies are chocolate chip, this leaves the other 3/4 of the jar, which is equivallent to 75/100. Since 2/3 of 75 is 50, or, 1/2, the answer is 1/2.

Which one is the greatest volume

Answers

Answer: The First Cylinder has more volume

Step-by-step explanation:

1. V = 471.24

2. V = 282.74

The ratio of soccer players to baseball players on two school teams is 4 to 7. Which of the following could be the number of players on each team?
Select one:

16 soccer players and 49 baseball players

16 soccer players and 19 baseball players

12 soccer players and 15 baseball players

12 soccer players and 21 baseball players

Answers

Answer:

12 soccer players and 21 baseball players

Step-by-step explanation:

Multiply each ratio by the same number

4x3=12 7x3=21

The answer is the last one. 4•3 =12 and 7•3 =21, you basically just had to scale up the numbers

I need help on 8

...............................

Answers

Answer:

55

Step-by-step explanation:

60 minutes is an hour 60 - 5 is 55

Answer:

55

Step-by-step explanation:

60 minutes is an hour 60 - 5 is 55

What is fraction is equal 54%

Answers

Answer:

27/50

20 character minimum

I think the answer is complementary angles but I’m not sure. HELP! Thanks (:

Answers

Answer:

Angle 3 is greater than angle 4

TrUsT mE

Answer:

2nd option..... Angles 3 and 4 are complementary Angles.

Please help me with the question

Answers

Answer:

area = 84 m²

Step-by-step explanation:

area = (1/2)(4)(3)(2) + (5)(6) + (6)(3) + (4)(6) = 84 m²

If Paul saves $3.00 every week for twelve weeks and then buys a CD for $15.00 plus 9% tax, how much money will he have left?

Answers

Answer:

18.90

Step-by-step explanation:

3x12=36

36-15=21

21 x 0.9

Answer:

$19.65

Step-by-step explanation:

12*3=36

15*.09=1.35

15+1.35=16.35

36-16.35=$19.65

(3f–3)^2 pls help
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Answers

9f^2-18f+9 is the answer

Sam borrows R7000 from a Bank at 14% p.a ,simple interest for 5 years.
How much does he have to pay back to the Bank at the end of 5 years period.​

Answers

Answer:

$ 4,900.00

Step-by-step explanation:

I = 7000 × 0.14 × 5 = 4900

I = $ 4,900.00

What is the quotient of (x^3 + 3x^2 - 4x - 12) divided by (x^2 + 5x + 6)

Answers

Answer: The quotient is (x-2)

Answer:

x-2

Step-by-step explanation:

Wally counted 200 pennies from his piggy bank. He kept 80% of them. How many pennies did Wally keep?
Select one:

160

60

80

120

Answers

The correct answer is A 160

Harry wants to ride his bicycle the same of miles every day. His goal is to ride 46 miles. If he rides 4 miles each morning and 3 miles each night,how many days will it take him to reach 46 miles

Answers

7 days king is the the answer

I BEG FOR MY LIFE EZ PLS

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Answers

Answer:

Step-by-step explanation:

Answer:

B and D

Step-by-step explanation:

The volume of a rectangular prism is found by multiplying the base, height and depth. So, to find the correct answer, multiply each and see which are equal to 72:

A) 7*3*5 = 105

B) 8*9*1 = 72

C) 3*8*4 = 96

D) 12*3*2 = 72

E) 3*4*5 = 60

Since B and D are the only ones that equal 72, they are the possible answers to give a volume of 72 units cubed.

Layla arked a group of students to chooue their favorite type of exerche from the choices of jogging, biling, and wwimming. The rules of the survey are shown in the graph. Favorite Types of exercise 20 Vurbe orders li AD Jogging Biking Swimming Type of Exercise Based on the graph, how many students in a class of 420 students would be expect to choose biking or mwimming as their favorite type of cherche​

Answers

Answer:

50 students

Step-by-step explanation:

20 + 30 = 50

45 × _____ ÷ 15 = 45

Answers

Answer:

15

Step-by-step explanation:

45 × 15 = 675

675/15 = 15

Answer:

15

Step-by-step explanation:

45x15=675

675/15=45

The diagram below shows a cone and a cylinder that have congruent bases and congruent heights.
2.5 in
2.5 in
4 in.
Which statement, where h represents the height of the cone and the height of the cylinder, is true?

Answers

its x of course :)))

guys help asap plsss!

Answers

Given:

The triangle ABC rotated 270 degrees clockwise.

The rule of rotation is

[tex](x,y)\to (-y,x)[/tex]

To find:

The coordinates of point B after the given rotation.

Solution:

From the given graph, it is clear that the coordinates of point B are (4,4).

The given rule of rotation is:

[tex](x,y)\to (-y,x)[/tex]

Using this rule, we get

[tex]B(4,4)\to B'(-4,4)[/tex]

The coordinates of point B after the given rotation are (-4,4).

Therefore, the correct option is C.

please help and putting the steps would help​

Answers

Answer:

x = 8

Step-by-step explanation:

These angles provided are alternate interior angles. That means they are congruent (equal). All you need to do now is answer the equation "8x-4 = 60".

From that you can see that x is 8.

Answer:

the angles are alternate interior angle pair, they are equal

8x - 4 = 608x = 64x = 8

Can someone help me with this right now? :(

Answers

Answer:

A- 6/x^2

Step-by-step explanation:

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If a firm can only set its price so high for its product, then this is considered ________.A) breakeven regulationB) cost-plus regulationC) price-cap regulation Expected utility and subjective probability theories were motivated by considerations of rationality. The axioms underlying expected utility theory seem plausible, as does the construction that we used for subjective probabilities. Unfortunately, real-life individual behavior appears to violate some of the axioms. Here we present two scenarios. Scenario 1. You are asked to choose between the following two gambles: Lottery A. A 100 percent chance of receiving 1 million. Lottery B. A 10 percent chance of 5 million, an 89 percent chance of I million, and a I percent chance of nothing. Before you read any further pick one of these lotteries and write it down. Now consider the following two gambles. Lottery C. An 11 percent chance of 1 million, and an 89 percent chance of nothing. Lottery D. 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