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


Mr. G's pet cat can travel 10 meters in 20 seconds. How many meters can the cat travel in 1 second? Write your answer as a ratio.

Answers

Answer:

0.5 meters a second or 0.5:1

Step-by-step explanation:

10 meters ÷ 20

_______________

20 seconds ÷ 20

=  

0.5 meters

_______________

1 second  

Kailynn observed a SpaceX rocket on the launch pad in Cape Canaveral, Florida. The rocket is 230 feet tall, and Kailynn measures the angle of elevation between the base and the top of the rocket to be 5 degrees. How far is she from the base of the rocket?

A-2629feet
B-2639feet
C-20feet
D-231feet
And explain

Answers

Answer:

i think B

Step-by-step explanation:

Need help please and thank you

Answers

Answer:

B is your answer

Step-by-step explanation:

there is none but GOOD LUCK

The product of two factors is x2+ 6x + 8. If one of the factors is (x + 4), what is the other factor?

Answers

(x + 4) (x + 2)
=x^2 +2x + 4x + 8
=x^2 + 6x + 8
the other factor is (x + 2)

Compare and 1.6. Use <, >, or =.
A. 5/3 = 1.6
B. 5/3 < 1.6
c. 5/3 > 1.5

Answers

Step-by-step explanation:

[tex] \frac{5}{3} = 1 \frac{2}{3} = 1.67[/tex]

Since

[tex]1.67 > 1.6 \: and \: > 1.5[/tex]

C is the answer

round off all answer in to two decimal places A=p(1+in) Steven won a portion of the local lottery.the price money is to the value of R18000.he wants to invest the money but does not know which bank to choose. FNB offers Steven 5,6/% for 8 years simple interest per annum, Nedbank offers Steven 6,6% for 6 years simple interest per annum and standard bank offers 7,2% for 5 years simple interest determine each bank future value to help Steven decide which bank he should choose FNB NEDBANK STANDARD BANK​

Answers

Answer:

FNB bank

Step-by-step explanation:

FNB = 18000 * 0.056* 8 = 8064

Nedbank = 18000*0.066* 6 = 7128

Standard = 18000*0.072*5=6480

FNB is the best choice for Steven

how do you tell someone you like them if you get nervous around them?
57+ points if you answer the question

Answers

Answer:

Just be yourself.

Step-by-step explanation:

You might get different answers, but this one is something you should definitely do!

Hope this helped...have a great day <3

Answer:

I think that you should just try and be open about it. for example instead of telling them in person tell them by text or over a note. Also just trust your gut and how you feel! stay yourself.

Step-by-step explanation:

being yourself is probably why he will like you back.

please help me fast thanks​

Answers

Answer:

1.86/2 = 0.93/2 = 0.465/2 = 0.2325

Step-by-step explanation:

100 Points for this
This series of transformations is performed on a quadrilateral:
a dilation by a factor of 4 with the origin as the center of dilation
a reflection across the y-axis
a 90° counterclockwise rotation about the origin
a translation 3 units down
Arrange the functions representing these transformations in the order in which the transformations occur.
(The tiles are)
f(x, y) = (-4x, 4y)
g(x, y) = (4x, -4y)
h(x, y) = (4x, 4y)
i(x, y) = (4y, 4x − 3)
j(x, y) = (4y, 4x)
k(x, y) = (-4y, -4x)
l(x, y) = (-4y, -4x − 3)

Answers

Answer:

l(x,y) = (-4y, -4x - 3)

Step-by-step explanation:

Let's start with function (x, y)

Transformations in the given order result in following

A dilation by a factor of 4 with the origin as the center of dilation

This results in both coordinates multiplied by 4(x, y) → (4x, 4y)

A reflection across the y-axis

This results in x-coordinate changing sign to opposite(4x, 4y) → (-4x, 4y)

A 90° counterclockwise rotation about the origin

This results in x-coordinate swapping with negative y-coordinate (-4x, 4y) → (-4y, -4x)

A translation 3 units down

This results in y-coordinate change by -3(-4y, -4x) → (-4y, 4x - 3)

The final function is:

l(x) = (-4y, -4x - 3)

Answer:

l(x) = (-4y, -4x - 3)

I got the same answer as Mhanifa and if you want the explanation check his, because mine sucks :(

While standing on a pier, Lynette saw a balloon floating 20 feet above her and a fish swimming 4 feet below the surface of the water.

Let 0 represent the water surface, and let the positive side of 0 represent position above the surface. Which number sentence correctly compares the distances of the balloon and the fish to the surface of the water?
A. |-4| < |20|
B. |-4| > |20|
C. |4| < |20|
D. |4| > |-20|

Answers

Answer:

I'd go with A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Use the spinner to find the theoretical probability of the event. Write your answer as a fraction or a percent rounded to the nearest tenth.
The theoretical probability of spinning a 1 is


PLEASE HELP ME!!!

Answers

1/6 I really don’t know if it’s right

A jacket was originally $284. It is discounted 20%, but doesn’t sell, so it is discounted again by 20% off the sale price. Finally, after sitting in the store for 6 months, it is marked as clearance, at 50% of the lowest sale price. What is the clearance price of the jacket?

Answers

113.60




that’s the answerrrr

Brainliest for correct answer

Answers

I think the answer is the last option, 1/2

I hope this is correct and please give brainliest because I am saving for expert and I need 5 more brainliest to get it!

Answer:

1/2

Step-by-step explanation:

Scale factor = (new figure measurement)/(original figure measurement)

Find IP using pythagorus

IP²=(y[tex]_{I}[/tex]-y[tex]_{P}[/tex])²+(x[tex]_{I}[/tex]-x[tex]_{P}[/tex])²

IP²=(4-(-4))²+(4-2)²

IP²=8²+2²

IP²=68

IP=[tex]\sqrt{68}[/tex]

Find I'P' using pythagorus

I'P'²=(y[tex]_{I'}[/tex]-y[tex]_{P'}[/tex])²+(x[tex]_{I'}[/tex]-x[tex]_{P'}[/tex])²

I'P'²=(2-(-2))²+(2-1)²

I'P'²=4²+1²

I'P'²=17

I'P'=[tex]\sqrt{17}[/tex]

Scale factor = (new figure measurement)/(original figure measurement)

=[tex]\sqrt{17}[/tex]/[tex]\sqrt{68}[/tex]

=1/2

If you draw a triangle with angles that measure 95 degrees and 40 degrees, what will be the measure of the third angle?

Answers

Answer: 45°

Step-by-step explanation: All the angles of a triangle have to equal 180.

95 + 40 + x = 180

135 + x = 180

180-135 = 45.

The measure of two angles would be 35 and 45

Last year, Manual opened an investment account with $5400. At the end of the year, the amount in the account had increased by 28.5%. How much is this increase in dollars? How much money was in his account at the end of last year?​

Answers

See below hope it helps

Answer:

Increase in dollars = $1,539

Balance in the account at the end of the year = $6,939

Step by step explanation:

5400*.285=$1539

So increase in dollars is $1,539


That is the money growth. Now add to initial balance to find the account total after the end of the year

5400+1539=$6,939

Money in the account at the end of the year $6,939

Help what is 3 1/2 divided by 8

Answers

Answer I got was 2.28

Help please!!
Brainliest if right

Answers

Answer:

top and bottom

Step-by-step explanation:

if y + 3 = 14, what is the value of 3(y + 5)

Answers

Answer:

48

Step-by-step explanation:

y + 3 = 14

y = 11

3(y + 5) = 3(11 + 5) = 3(16) = 48

Answer: 48

VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

Answers

Figures are the same size and shape

if d is 55 degrees then what is F and E degrees. Explain how you know​

Answers

Answer:

F=55

E=70

Step-by-step explanation:

The total degree of a triangle is 180.

So we have 180-55*2

E=180-110

E=70

I think it will be b but I don’t know

Answers

Answer:

yeah it is b

acute and scalene

Step-by-step explanation:

scalene means none of the sides equal

and also all sides are acute angles

Answer:

yep you are correct it would be answer b

Step-by-step explanation:

hope this helped you

What is MEAN ABSOLUTE DEVIATION and how do you find it?

Answers

Step-by-step explanation:

Step 1: Calculate the mean. Step 2: Calculate how far away each data point is from the mean using positive distances. These are called absolute deviations. Step 3: Add those deviations together. Step 4: Divide the sum by the number of data points.

At a drop-in mathematics tutoring center, each teacher sees 4 to 8 students per hour. The probability that a tutor sees 4 students in an hour is 0.12;5 students, 0.13; 6 students, 0.30; and 7 students, 0.33. Let be the number of students per hour of a randomly selected teacher.

Answers

Answer:

0

Step-by-step explanation:

am not sure, , have not studied

Can somebody explain how I'm supposed to do this??

Answers

Answer:

C

Step-by-step explanation:

You take the points and input them into the equation. If they all equal the set then it is the equation. So for example a point on the graph is (2,30) so in this case x is 2 so you would do y= 15(2) which is 30. So that equation and point checks out. Repeat with the others

Answer:

its c

Step-by-step explanation:

:)


Write an expression using the Distributive
Property to find the product of 7 X 63.

Answers

Answer:

7(60+3)

Step-by-step explanation:

Distributive property is written: a(b+c)

7 x 63 = (7x60) + (7x3) = 7(60+3)

Answer:

7 x (60 + 3)

Step-by-step explanation:

Joe needs to get to his house,which is 106 miles away in 2 hours.How fast does he need to drive

Answers

Answer:

53

Step-by-step explanation:

106 miles per hour would get him home in 1 hour but it takes 2 hours so you can divide 106 by 2 to 53 miles per hour.

Fox vvgggfffdfccvvvgttg

In order to estimate the mean amount of time computer users spend on the internet each month, how many computer users must be surveyed in order to be 95% confident that your sample mean is within 11 minutes of the population mean? Assume that the standard deviation of the population of monthly time spent on the internet is 202 min. The minimum sample size required is_______computer users. (Round UP to the nearest whole number.)

Answers

Answer:

1568

Step-by-step explanation:

The computation of the minimum sample size is shown below:

Given that

Error E = 11

The population standard deviation [tex]\sigma[/tex] =217

Confidence level 1-α = 95%

Now following formula should be used

n > (Zalpha ÷ 2 × sigma ÷ E)^2

As we know that

Zalpha ÷ 2= 1.96

Now the sample size is

n> (1.96 × 202  ÷ 10)^2

= 1568

Find the area of the garden.

Answers

Answer:

28yd²

Step-by-step explanation:

area of square = side *side

=6*6= 36²

area of rectangle (patio)= length* breadth

=4*2=8²

area of garden= area of square - area of rectangle

=36-8

=28 yd²

Answer:

28 sq. yd

Step-by-step explanation:

For finding the area of the garden :

First Case:

Given,

Side of the big square = 6 yd

Therefore,

Area of the big square = side × side

= 6yd × 6yd

[tex] = 36 {yd}^{2} [/tex]

Second Case:

Length of the patio = 4 yd

Breadth of the patio = 2 yd

Therefore,

Area of the patio = Length × Breadth

= 4yd × 2yd

[tex] = 8 {yd}^{2} [/tex]

Last Case:

According to first and second cases,

Area of the garden

= Area of the big square - Area of the patio

[tex] = 36 {yd}^{2} - 8 {yd}^{2} [/tex]

[tex] = 28 {yd}^{2} [/tex]

Hence,

Required area of the garden is 28 sq. yd (Ans)

ITS DUE TODAY PLS HELP

The circumference of the ball is 9.4 inches. What is the approximate surface area and volume of the ball? Round your answers to the nearest unit.
The surface area of the ball is approximately
square inches
The volume of the ball is approximately
cubic Inches

Answers

Answer:

i. The surface area of the ball is approximately 28.0 square inches.

ii. The volume of the ball is approximately 14.0 cubic inches.

Step-by-step explanation:

The ball has the shape of a sphere, so that;

C = 2[tex]\pi[/tex]r

9.4 = 2 x [tex]\frac{22}{7}[/tex] x r

65.8 = 44r

r = [tex]\frac{65.8}{44}[/tex]

r = 1.50 inches

The radius of the ball is 1.50 inches.

i. Surface area of a sphere = 4[tex]\pi[/tex][tex]r^{2}[/tex]

So that,

surface area of the ball = 4 x [tex]\frac{22}{7}[/tex] x [tex](1.5)^{2}[/tex]

                                             = 28.2857

The surface area of the ball is approximately 28.0 square inches.

ii. Volume of the ball = Volume of a sphere = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]

Volume of the ball =  [tex]\frac{4}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex](1.5)^{3}[/tex]

                               = 14.1429

The volume of the ball is approximately 14.0 cubic inches.

A set of two or more equations with the same variables is called a system of equations. When you set the
two expressions that are equal to the same variable equal to each other, like you did in the previous lesson,
you are using the Equal Values Method of solving a system of equations. Use the Equal Values Method to
solve the following problem.
It is time to cool off on a hot summer day! Team Sunshine is filling an inflatable kiddie pool from a garden
hose. The pool has 30 gallons in it and Team Sunshine is adding 8 gallons per minute with a garden hose.
Next door, Team Breeze's pool is already filled with 180 gallons of water. They are emptying the pool at 5
gallons per minute with buckets.
Write two equations to represent the situation. Use the equations to find how long it takes until both pools
have the same amount of water. Check your calculations.

Answers

Answer:

Both pools will have the same amount of water after 11 minutes and 32 seconds.

Step-by-step explanation:

Since Team Sunshine is filling an inflatable kiddie pool from a garden hose, and the pool has 30 gallons in it and Team Sunshine is adding 8 gallons per minute with a garden hose, while next door, Team Breeze's pool is already filled with 180 gallons of water, and they are emptying the pool at 5 gallons per minute with buckets, to determine how long it will take until both pools have the same amount of water, the following calculation must be performed:

Team Sunshine:

30 + (8X) = T

30 + 8x10 = 110

30 + 8x11 = 118

30 + 8x12 = 126

30 + 8x11.5 = 122

30 + 8x11.6 = 122.8

30 + 8x11.55 = 122.4

30 + 8x11.54 = 122.3

Team Breeze:

180 - (5X) = T

180 - 5x11 = 125

180 - 5x12 = 120

180 - 5x11.5 = 122.5

180 - 5x11.6 = 122

180 - 5x11.55 = 122.25

180 - 5x11.54 = 122.3

1 = 60

0.54 = X

0.54 x 60 = X

32.4

Thus, both pools will have the same amount of water after 11 minutes and 32 seconds.

Other Questions
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