The table below shows the probability distribution of student ages in a high school with 1500 students. What is the expected value for the age of a randomly chosen student? Age 13 14 15 16 17 18 Probability 0.01 0.27 0.30 0.25 0.16 0.01 O A. 15.38 B. 15.31 о O C. 15.50 O D. 15.35 SUBMIT​

The Table Below Shows The Probability Distribution Of Student Ages In A High School With 1500 Students.

Answers

Answer 1

Answer:

15.31

Step-by-step explanation:

The expected value, E(X) is given by :

E(X) = Σx*p(x)

From the table above :

E(X) = (13 * 0.01) + (14 * 0.27) + (15 * 0.30) + (16 * 0.25) + (17 * 0.16) + (18 * 0.01)

E(X) = 15.31


Related Questions

Am I supposed to add or divide?

Answers

Answer: 11.20

Step-by-step explanation:

Divide. 56.00 ÷ 5 = 11.20 therefore each shirt cost 11.20 Hope that helps!

Answer:

Divide.

Answer : option B

Step-by-step explanation:

Cost             Number of shirts

 56                      5

  x                        1

     

 [tex]\frac{56}{x} = \frac{5}{1}[/tex]

[tex]5 \times x = 56 \times 1\\\\x = \frac{56}{5} = 11.20[/tex]

Find the mean for the given sample data. Unless indicated otherwise, round your answer to one more decimal place than is present in the original data values. The local Tupperware dealers earned these commissions last month: $1077.28, $2661.13, $4642.11, $4264.15, $1019.55, $3444.20, $2525.92, $3740.26, $3533.07, $1633.84 What was the mean commission earned? Round your answer to the nearest cent.

Answers

Answer:

the  mean commission earned is 2854.15

Step-by-step explanation:

The computation of the mean commission earned is shown below'

The mean is  

= ($1077.28 + $2661.13 + $4642.11 + $4264.15 + $1019.55 + $3444.20 + $2525.92 + $3740.26 + $3533.07 + $1633.84) ÷ 10

= 2854.15

Hence, the  mean commission earned is 2854.15

The same should be considered and relevant

Hello if you're able to answer this question for me please do and provide work, Thank you

Answers

The answer is c to your question

Calcululate relative frequency and cumulative frequency. Round relative frequency to two decimal places. X f Relative Frequency Cumulative Frequency 5 5 4 7 3 8 2 2 1 4

Answers

Answer:

Frequency Relative Frequency Cumulative Frequency  

5 0.1220 0.1220

5 0.1220 0.2439

4 0.0976 0.3415

7 0.1707 0.5122

3 0.0732 0.5854

8 0.1951 0.7805

2 0.0488 0.8293

2 0.0488 0.8780

1 0.0244 0.9024

4 0.0976 1.0000

41  

Step-by-step explanation:

Frequency Relative Frequency Cumulative Frequency  

5 0.1220 0.1220

5 0.1220 0.2439

4 0.0976 0.3415

7 0.1707 0.5122

3 0.0732 0.5854

8 0.1951 0.7805

2 0.0488 0.8293

2 0.0488 0.8780

1 0.0244 0.9024

4 0.0976 1.0000

41  

Find the product of (x − 7)2

Answers

Answer:

the answer is 2x-14.

Step-by-step explanation:

because 2 multiply both the number 2 and x

The cost of a week long vacation in a city has a mean of 1000 and a variance of 1200. The city imposes a tax which will raise all tourism related costs by 10%. Find the coefficient of variation for the cost of a week long vacation in this city after the tax is imposed.

Answers

Answer:

The coefficient of variation after the tax is imposed is 0.033

Step-by-step explanation:

Given

[tex]\mu =1000[/tex] --- mean

[tex]\sigma^2 = 1200[/tex] --- variance

[tex]tax = 10\%[/tex]

Required

The coefficient of variation

The coefficient of variation is calculated using:

[tex]CV = \frac{\sqrt{\sigma^2}}{\mu}[/tex]

After the tax, the new mean is:

[tex]\mu_{new} = \mu * (1 + tax)[/tex]

[tex]\mu_{new} = 1000 * (1 + 10\%)[/tex]

[tex]\mu_{new} = 1100[/tex]

And the new variance is:

[tex]\sigma^2_{new} = \sigma^2 * (1 + tax)[/tex]

[tex]\sigma^2_{new} = 1200 * (1 + 10\%)[/tex]

[tex]\sigma^2_{new} = 1320[/tex]

So, we have:

[tex]CV = \frac{\sqrt{\sigma^2}}{\mu}[/tex]

[tex]CV = \frac{\sqrt{1320}}{1100}[/tex]

[tex]CV = \frac{36.33}{1100}[/tex]

[tex]CV = 0.033[/tex]

An airplane flying at an altitude of 37,000 feet is still A horizontal distance of 100 miles (100 miles = 5280 ft) from the airport. What angle of depression does the airplane need to use to reach the runway?

Answers

Given :

An airplane flying at an altitude of 37,000 feet is still A horizontal distance of 100 miles (100 miles = 5280 ft) from the airport.

To Find :

What angle of depression does the airplane need to use to reach the runway?

Solution :

Let, angle of depression is [tex]\theta[/tex] .

So,

[tex]tan\ \theta = \dfrac{ Altitude \ in \ which \ plane \ is \ flying}{Horizontal \ Distance}\\\\tan \ \theta = \dfrac{37000}{5280}\\\\tan \ \theta = 7.00\\\\\theta = tan^{-1} 7\\\\\theta = 81.87^o[/tex]

Hence, this is the required solution.

accounting equation is what​

Answers

The accounting equation also called the balance sheet equation represents the relationships between the assets,liabilities etc
I agree with what the other person said

How many 3-letter words can we make from the letters A, B, C, and D, if we are allowed to repeat letters, and we must use the letter A at least once? (Here, a word is an arbitrary sequence of letters.)

Answers

Ummm okay let’s see

Cab
Bad
Dab
Cad believe it or not that’s a word

Pretty sure that’s it hope this helps :D

If you could do you mind marking me brainliest.

Find the equation of a line that contains the points (4, -2) and (-8, -1). Write the equation in slope-intercept form, using
fractions when required.

Answers

Answer:

y =−12 /1 x−3 /5

Find the sun of the whole numbers from 1 to 880

Answers

Answer:

387,640

Step-by-step explanation:

hope this helps, braniest...

Choose all of the following relationships that represent functions

I need help I have been stuck on this for years. Plz anything helps

Answers

9514 1404 393

Answer:

  see below

Step-by-step explanation:

Perhaps you're stuck because it is too simple. If any value in the x-column is repeated, the relation is not a function.

Of the two relations shown, the first is not a function (x=3 is repeated), and the second one is a function (all the x-values are different).

r- 17.3 = -3.2 what's the answer to this?

Answers

r = 14.1

Explanation:
r - 17.3 = -3.2
r = - 3.2 + 17.3
r = 14.1

La abuela de Jorge, cuando llegan las fechas navideñas, reparte 120 € entre los tres nietos de la siguiente forma: Jorge, como es el mayor, recibe 10 € más que su prima Alejandra, y esta 10 € más que la prima pequeña Marina. ¿Cuánto dinero recibe cada uno?

Answers

Answer:

Marina recibe 30 euros, Alejandra recibe 40 euros y Jorge recibe 50 euros.

Step-by-step explanation:

Dado que la abuela de Jorge, cuando llegan las fechas navideñas, reparte 120€ entre los tres nietos de la siguiente forma: Jorge, como es el mayor, recibe 10 € más que su prima Alejandra, y esta 10 € más que la prima pequeña Marina, para determinar cuánto dinero recibe cada uno se debe realizar el siguiente cálculo:

J = A + 10

A = M + 10

M = M

J + A + M = 120

A + 10 + M + 10 + M = 120

M + 10 + 10 + M + 10 + M = 120

3M + 30 = 120

3M = 120 - 30

M = 90 / 3

M = 30

Por lo tanto, Marina recibe 30 euros, Alejandra recibe 40 euros y Jorge recibe 50 euros.

Student spend 5 minutes of every 60 minutes at school moving from class to class. Which fraction is equivalent to the number of minutes student spend moving from class to class?

Answers

Answer:

10/120

Step-by-step explanation:

Graph the circle x2 + y2 – 14x + 2y +41 = 0.
y
9
7
8
7.
6+
5.
4
3-
2+
-9-8-7-6-5-4-3-2
+++ 2
2 3 4 5 6 7 8 9
-2
-3
-4
-5
-6-
-7

Answers

Answer:

a

Step-by-step explanation:

Which choice is equivalent to the fraction below when x is an appropriate
value? Hint: Rationalize the denominator and simplify.
4
4 - 6x
A. 8+226x
16 - 6x
B. 8+ 2162
846
C.
2 + V6
4- 6x
D. 8. 216
8 - 3x
UN

Answers

1. 8^3 * 8^2, 8^5, and (2^3)^5

2. 6^9, and 6^5 x 6^4

Answer:

8+2√6x / 8-3x

Step-by-step explanation:

yes

Someone tell me what the answer

Answers

NEED A BETTER PICTURE FRIEND :)

Answer:

can you please put a better picture?

2x + y = 19
-2y - 2x = -22

please show step by step​

Answers

Answer:

the value of x = 3 and y = 3

Step-by-step explanation:

2x + y = 9 ------------ (1)

-2y -2x = -22 ------------ (2)

Subtract (1) from (2)

-2x -2y = -22

2x + y = 19

----------------------

       -y = -3

        y = 3

Put the value of y in equation 1

2x + y = 9

2x + 3 = 9

2x = 9 - 3

2x = 6

x = 6/2

x = 3

Therefore, the value of x = 3 and y = 3

Hope u understand

Please mark as brainliest

Thank You

- Leona Bahr is paid a commission of 12% on all sales above $7,000 for the week. She is also paid a weekly salary of $380. What are her total earnings for a week in which her sales were $9,800?

Answers

Answer:

716

Step-by-step explanation:

9800-7000=2800 sales over 7000

2800 x .12=336 commission

380 (salary) + 336 (commission)=716 Total earnings

Your checking account is in debt $20. You use this account to make a $10 purchase. Then, you deposit $38 into the account. What is the balance of the checking account?

Answers

Answer: 8

Step-by-step explanation

Answer:

$8

Step-by-step explanation:

If we just keep track of the money in the account, we can solve this pretty quickly. If the balance is -20, and we subtract another 10 from it, it gives us -30. $38 is then deposited into the account, giving us a balance of $8.

[tex]-20-10+38=8[/tex]

Twice a number divided by 5 gives 4

simple equations

Answers

Answer:

x=10

Step-by-step explanation:

Let the number = x

∴ 2x/5=4

∴2x=5*4

∴2x=20

∴x=20/2

∴x=10

Hope it helps you!

Mark as brainliest if you like it  

Answer:

2x / 5 = 4

x = 10

Step-by-step explanation:

Twice a number   divided by 5   gives 4

          2x                     / 5                  = 4

2x / 5 = 4

Multiply both sides by 5

2x = 20

Divide both sides by 2

x = 10

3. A pupil left home for school at a speed of
5 km/h and returned at a speed of 4 km/h
The whole journey took 5 h 24 min.
How far is the school from home, in
kilometres
A 9
B. 12
C. 24
D. 27​

Answers

Answer:

12 km

Step-by-step explanation:

5h 24min = 5.4 hrtime = distance / speed

--------------------------------

time out + time back = total time

d/5 + d/4 = 5.4

multiply both sides by 20 to clear the fractions

4d + 5d = 108

9d = 108

Divide both sides by 9

d = 12 km

The volume of a cone is 202.92 cubic units. If a cylinder has the same height and radius as the cone what is volume in cubic units

Answers

Given :

The volume of a cone is 202.92 cubic units. The cylinder has the same height and radius as the cone.

To Find :

The length of height and radius .

Solution :

Volume of cone is given by :

[tex]V = \dfrac{\pi r^2 h}{3}\\\\V = \dfrac{\pi r^3}{3}\\\\r = \sqrt[3]{\dfrac{3V}{\pi}} \\\\r = \sqrt[3]{\dfrac{3 \times 202.92}{\pi}}\\\\r = 5.79 \ units[/tex]

Hence, this is the required solution.

2. Evaluate the expression when x = 7 and y = 4 x * y - 4(2)

Answers

Answer:

20

Step-by-step explanation

7*4=28

28-4=24

4(2)=8

28-8=20

hope that helped!!

Answer:

y = 8/27

Step-by-step explanation:

given

x = 7

y = 4x*y - 4(2)

y = 4*7*y - 8

y = 28y - 8

8 = 28y - y

8 = 27y

8/27 = y

to prove

y = 4x*y - 4(2)

8/27 = 4*7*y - 8

8/27 = 28*8/27 - 8

8/27 = 224/27 - 8

8/27 = 224 - 27*8/27

8/27 = 8/27

hence it is proved that y is 8/27 .

4th grade math question

Answers

Answer:

1 1/6

Step-by-step explanation:

the problem is asking you to do 1/6 7 times. Lets break it down and make it 1/6 plus 1/6 plus 1/6 plus 1/6 plus 1/6 plus 1/6 plus 1/6

so lets add the all the numerators 1 plus 1 plus 1 plus 1 plus 1 plus 1 plus 1 is 7

the numerator value is 7 and you dont add the denominator so it stays as 6

so the answer is 7/6 or 1 1/6 as a mixed number

Answer:1 1/6

Step-by-step explanation: The answer is one and one sixth because when you imagine that the 7 is over one, when you times it you get 7/6 and that is 1/ 1/6

Which equivalent to (11-9)^3x2

Answers

Answer:

11-9=2 then, 2^3=8 , finally 8X2=16

Step-by-step explanation:

remember order of operations

Let f(x) = 3x + 5 and g(x) = x2. Find and state its domain.

Answers

Answer:

The answer f (x^2) = 3x^2 + 5

Step-by-step explanation:

hmm... i don't really know how to explain how I did it but that's the answer

AB|CD
Find the value of x.

Answers

Answer:Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

Step-by-step explanation:

rea Under the Curve Calculator: Multiplying ...

Volume of A Cylinder Calculator: F Distribution ...

Normal Distribution Calculator: Cp Calculator

Density Calculator: Probability Density Function ...

I need help with this question

Answers

Answer:

Hi there, I like your pfp!

The correct answer should be 11 1/2!

Step-by-step explanation:

-48/-8 = 6 4/8 = 6 1/2

6 1/2 + 5 =

11 1/2

Anyways, hope this helped!

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