A sample of 2,500 people was asked how many cups of coffee they drink in the morning. You are given the following sample information. Cups of Coffee Frequency 0 700 1 900 2 600 3 300 2,500 Refer to Exhibit 5-7. The variance of the number of cups of coffee is _____.

Answers

Answer 1

Answer: V(X) = 0.96

Step-by-step explanation: Variance is defined as the average of the squared difference from the sample or population mean.

For a discrete frequency distribution is calculated following the steps:

1) Determine expected value or mean:

[tex]E(X)=\frac{\Sigma xf}{\Sigma f}[/tex]

[tex]E(X)=\frac{0(700)+1(900)+2(600)+3(300)}{2500}[/tex]

E(X) = 1.2

2) Multiply frequency and the squared difference of x and expected value:

[tex]f(x-E(X))^{2}[/tex]

[tex]700(0-1.2)^{2}=1008\\900(1-1.2)^{2} = 36\\600(2-1.2)^{2} = 384\\300(3-1.2)^{2} = 972[/tex]

3) Add them:

[tex]\Sigma [f(x-E(X))^{2}][/tex] = 1008 + 36 + 384 + 972 = 2400

4) Divide the sum per frequency total:

[tex]V(X)=\frac{\Sigma [f(x-E(X))^{2}]}{\Sigma f}[/tex]

[tex]V(X)=\frac{2400}{2500}[/tex]

V(X) = 0.96

The variance of the number of cups of coffee is 0.96.

Related Questions

O Slope: -1/2, x-intercept: 2, y-intercept: 1
Slope: -1/2, x-intercept: 1, y-intercept: 2
Slope: -2, x-intercept: 2, y-intercept: 1
O Slope: -2, x-intercept: 1, y-intercept: 2

Answers

The answer is -2x intercept 2,y-intercept:1 because the line is touching the graph where 2 is which identifies that it’s an x intercept and for the -2 it hit a point when the the line goes down to -2 and of course 1 is y because it shows the y on the top.
I hope this help good luck on your test if you need more help let me know

what do i do cause this is wrong and it is also wrong switched around!!!! pls help meh i will give brainleist

Answers

Answer: It seems like you're correct, maybe try switching the numbers around if you haven't done so.

When it's say "find the product _ and _, you'll basically be writing a multiplication expression as your answer.

Answer this and I will make your day better just watch!!!!

Answers

Answer: :) hi! <3

Step-by-step explanation:

which operation will solve the following word problem? Sydney needs to double a cookie recipe,the recipe calls for 2/12 cups of flour,how much flour will she need to double the recipe?

subtraction

multiplication

division

addition

Answers

Multiplication because you are going to multiply the recipe by 2 to double it.

Answer:

multiply by 2 to double something

What is the value of x in this triangle?
12
2x - 4

Answers

Step-by-step explanation:

12 = 2x - 4

16 = 2x

8 = x

.....

Yolanda deposited $2,130 into an account. She made no additional deposits or withdrawals. Yolanda earned 4.25% annual simple interest on the money in the account.

What was the balance in dollars and cents in Yolanda's account at the end of 4 years

Answers

Answer:

$2492.10

Step-by-step explanation:

Deposit amount = $2130Interest rate = 4.25% annual simpleTime = 4 years

Balance at the end of 4 years:

$2130*(1 + 4*0.0425) = $2492.10

if 4(x-1)=8(x-2),then x=

Answers

4(x-1)=8(x-2)

multiply the first bracket by 4

(4)(x)=4

(4)(-1)=-4

multiply the second bracket by 8

(8)(x)=8x

(8)(-2)=-16

4x-4=8x-16

move 8x to the other side ( in other words combine like terms)

sign changes from +8x to -8x

4x-8x-4=8x-8x-16

-4x-4=-16

move -4 to the other side

-4x-4+4=-16+4

-4x=-12

divide both sides by -4 to get x by itself

-4x/-4=-12/-4

x=3

answer:

x=3

Answer:

x = 3

Step-by-step explanation:

4( x - 1) =8

4x - 4 = 8

+ 4 + 4

4x = 12

x = 3

8 ( x - 2 )

8 ( 3 - 2 )

24 - 16

= 8

Help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Step-by-step explanation:

b because it's bbbusjsjs

Please answer quick! Will give Brainliest, 5 stars, and I will like your answer!!

Answers

Answer:

T' (4, 0)

there you go

Answer:

I'm pretty sure it is (-1, -1)

Step-by-step explanation:

The point goes left once, which is negative, and down one from that which is also negative.

Hope this helps!

Help please I appreciate

Answers

Step-by-step explanation:

RS=25

QR=45

RT=50

QS=70

RU=75

QT=95

y + 2 = -3(x - 4). What is the point given?

Answers

The slope is given by
4
Explanation:
Writing your equation in the form
y
+
2
=
4
x
−
8
adding
−
2
so
y
=
4
x
−
10
and
y
'
(
x
)
=
4

The side length of an equilateral triangle is 4X +2 which expression represents the perimeter of the triangle

Answers

Answer:

12x + 6

Step-by-step explanation:

perimeter equals the sum of all sides

if each side is 4x+2 then 3(4x+2) = 12x+6

Anybody can help me with this one?

Answers

The point would be (9,1)

Answer:

look pic

Step-by-step explanation:

the -1/4 is the slope and 5 is where you start

please answerrrrr!!! im soo confused!!!

Answers

Answer:

97%

Step-by-step explanation:

If you get 100% on a test, you got all the answers correct.

It doesn't matter how many questions there are. If you got all of them correct, you get 100%.

What if you have 100 questions on a test?

If you got 85 questions correct, on a 100 question test, your grade would be 85%.

If you got 35 questions correct, on a 100 question test, your grade would be 35%.

If you got 98 questions correct, on a 100 question test, your grade would be 98%.

If you count 100 trees, and 97 of them were evergreen, the percentage of trees that are evergreen would be 97%.

Which does not represent a way to show 5+5+5+5+5 with multiplication?

Answers

Answer:

probably square root of 5

50 Points!!!!
In the following triangle BD is a median.

Find x and the measure of CD.

Answers

ure only giving 25 points and saying 50 lol
20-1
19
19+1
20

Answer:x=24

CD= just 7

Step-by-step explanation:

Can you help me with this question please

Answers

i hope i helped you :)

What is the product of -9.56 x 8.5? A. -81.26 B. -73.06 C. 81.26 D. 73.06

Answers

Answer:

A -81.26

Step-by-step explanation:

Answer:

The answer is, A.) -81.26!

Step-by-step explanation:

I got it right on the test. Please mark me branliest!

A. √

B. ×

C. ×

D. ×

What is the domain and range of y=1/x?
No answer necessary, I just want to remove points.

Answers

Answer:

ok thanks

Step-by-step explanation:

Answer:

Step-by-step explanation:

thanks for the points

HELP! WILL GIVE BRANLIEST!

Answers

Answer:

44.71 kilometers

Step-by-step explanation:

Answer:

I would say 44.71 kilometers

Step-by-step explanation:

When you add all those values together you get 44.71.

. Casey took 25 tests in 135 days. At this rate, in how many days will she take another 10 tests? You may use the ratio table below to help.

Answers

Answer rounded by nearest thousand

1.085

Answer rounded by nearest day

Step-by-step explanation:

25/135

make into a unit fraction

0.185/1

multiple by ten

1.85/10

find the sum of -38 + (-57)

Answers

Answer: 19

Step-by-step explanation:

Solution:

[tex]( - 38) + ( - 57) \\ = - 95[/tex]

Answer:

-95

SOMEONE PLEASE HELP MEEEEE!!!!!
The Venn diagram represents the Quantum Physics High School student body. Circle A represents all students enrolled in extracurricular activities. Circle B represents all female students. There are 117 female students enrolled in extracurricular activities, and the enrollment of the high school is 1,000 students. There are 450 male students. How many female students are not enrolled in extracurricular activities?

A.
117
B.
433
C.
550
D.
883

Answers

Answer:

total population of school = 1000

1000 - 450 males = 550 female students

550 - 200 females not in extra curriculars = 350 females in extra curriculars

350 + 90 males in extra curriculars = 440 total in extra curriculars

Circle A = 440

Circle B - overlap = 200 females not in extra curriculars

440 + 200 = 640

1000 - 640 = 370 students represented by the portion of the Venn diagram not in either circle

Step-by-step explanation:

Answer:

Its a

Step-by-step explanation:

Jack plots points showing equivalent ratios on the coordinate plane above.

which ordered pair if plotted above would represent a ratio that is equivalent to those shown?

Answers

Answer:

(4,18)

Step-by-step explanation:

it would fit right into the line. i hope this helps.

the first row in a pattern of the 5 tiles.each row after the first had 2more tiles

Answers

Answer:

whats the question?

Step-by-step explanation:

Lucy rides her bicycles 240 feet. A wheel of her bicycle turns 40 times as the bicycle travels this distance. What is the diameter of the wheel?

Answers

5 okiiieeeeere hope this helps

Ramon earns $1,625 each month and pays $53.80 on electricity. To the nearest tenth of a percent, what
percent of Ramon's earnings are spent on electricity each month?
Ramon spends
% of his earnings on electricity each month.

Answers

Answer:

3.1%

Step-by-step explanation:

53.80/1625 x 100 is 3.1

Hope this helps plz hit the crown ;D

So what you can do is divide 53.10 by 1735 to get percentage

0.0306051873 is your decimal, so move it right 2 places to get

3.06% of his money.

You asked for the nearest 10th of a percent, so you round that to

3.1%

factor completly 108-3x^2

Answers

The fully factored polynomial is −3(x−6)(x+6).

9 would be the answer to this question

Adam biked 6 3/4 miles to work and then 3 2/5 miles to the store. How many miles had he biked that day when he arrived at the store

Answers

Answer:

6 + 3 + 1.15 = 10.15 miles

Step-by-step explanation:

Look at the image. The School PTA spent 54% of its annual budget on sixth-grade
graduation. What fraction of the PTA's budget was spent on the graduation?

Answers

B hope you have a blessed day!

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