If amount of utility bill is normally distributed with a mean of $105 and a standard deviation of $20. What percentage of your bills would you expect to be between $85 and $125?

Answers

Answer 1

Answer:

68% of your bills between $85 and $125

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = $105

Standard deviation = $20

What percentage of your bills would you expect to be between $85 and $125?

85 = 105 - 20

125 = 105 + 20

Within one standard deviation of the mean, so by the Empirical Rule, 68% of your bills between $85 and $125


Related Questions

A sphere has a diameter of 11 inches. What is its surface area? Use 3.14 to approximate π. Round to the nearest hundredth if necessary.

Answers

Answer:

The surface area is [tex]379.94in^2[/tex]

Step-by-step explanation:

Given

Shape: Sphere

[tex]D= 11\ in[/tex] - -- Diameter

Required

Determine the surface area (A)

This is calculated using:

[tex]A = 4\pi r^2[/tex]

Where

[tex]r = \frac{1}{2}D[/tex]

[tex]r = \frac{1}{2}*11[/tex]

[tex]r = 5.5[/tex]

So, we have:

[tex]A = 4 * 3.14 * 5.5^2[/tex]

[tex]A = 4 * 3.14 * 30.25[/tex]

[tex]A = 379.94[/tex]

Hence, the surface area is [tex]379.94in^2[/tex]

Answer:

379.94

Step-by-step explanation:

4x2 – 13x = 7x – 25
solve an equation with two real solutions practice

Answers

Answer:

x=2.5

Step-by-step explanation:

bring all terms to one side

[tex]4x^{2} -20x+25=0[/tex]

factor it

[tex](2x-5)^{2}=0[/tex]

2x-5=0

2x=5

x=2.5

Answer:

20/33

Step-by-step explanation:

4*2-13x=7x-25

8-13x=7x-25

(subtract 7 x's)

8-20x= -25

(subtract 8)

-20x= -33

wht do i put in the square box ?

Answers

Answer:

3.75

Step-by-step explanation:

Volume = length x width x height

             = 2.5 x 1 x 1.5

             = 3.75 cm^3

WE count number of blocks for all values seperately, like

for height its three blocks and one block is equal to 1/2

so.

1/2 x 3= 1.5

Is the table a function?

Answers

Answer:

short answer no

Step-by-step explanation:

there's repeated values for y

how do you slove thia ​

Answers

Add all the equations and equal to 180

A typical Yorkshire terrier weighs 1/6 times as many pounds as a Dalmatian. A Dalmatian weighs 54 pounds. How much does the typical Yorkshire terrier weigh?

Answers

Answer:

9 pounds

Step-by-step explanation:

1/6 is 16.67%

So 16.67% of 54 is 9

The Yorkshire terrier weighed 9 pounds.

Plz help plz help I need help

Answers

Answer:

1. X = 4

2. Y = 3

3. Y = 4 or Y = log>6 (1296)

4. X = 4

5. X = 3

6. X = 2

7. X = 2

8. X = 5

9. X = 3

sorry if I can get the letters right I couldn’t really see it well .

Lamar is 5 feet 10 inches tall
. How
mary inches tallis Lamar?

Answers

Answer:

about 70 inches

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

5(12)+10= 70 inches

if my answer helps please mark as brainliest.

which comparison does the ratio 20:21 represent? ​

Answers

Find the Lowest number you can multiply by and you get and then you get 4:3

Is 4 5/12 a rational number

Answers

Answer:

Nope! It's irrational.

it would be if it was 53/12 tho!

Write one number as a fraction of another and please explain.

Answers

48 develop a fault out of the total built which is 2400 therefore
48/2400
If needs to be simplified then 1/50

write 0.000066 in word form

Answers

Answer:

Zero point Zerozerozerozerosixtysix

Which of the following situations describes a positive number?
A Diving underwater 4 meters.
B Going up the elevator 14 floors.
C Losing 3 points.
D) Paying $20 out of your checking account.

Answers

Going up the elevator 14 floors. This is assuming you are not underground. All other answers have negative situations.

Emma has already taken 6 pages of notes on her own, and she will take 4 pages during each hour of class. Write an equation that shows the relationship between the time in class (h) and the number of pages (p).

Answers

Answer:

6 + (p x h)

Step-by-step explanation:

well, Emma already has the 6 pages so we can push that to the side, but for every hour, she will write 4 more pages, so it would be p x h, but that’s most importnant so you put that in parentheses so you can add the 6 back later.

how many inches represent 6 feet

Answers

Answer:

72 inches

Explanation: because if you divide 72 by 12 you would have 6 and that would be 6 feet

what is 243.275 in expanded form​

Answers

Answer:

200,000 + 40,000 + 3.000 + 200 + 70 + 5

Step-by-step explanation:

Answer:

243.275 = (2 * 100) * (4 * 10) * (3 * 1) * (2 * 1/10) * (7 * 1/100) * (5 * 1/1,000)

Step-by-step explanation:

Hope this helps! :)

which fraction is equevleint to 12/21

Answers

Answer:

4/7

Step-by-step explanation:

They can be simplified by 3 12 divided by 3 is 4 and 21 divided by 3 is 7 so it's 4/7.

I think that the answer is 4/7

Answer please.....
Thanks!!!!

Answers

a. x= 11/5
b. x= 6
c. x= -12/2
d. x= 6/5

A rectangle length 34m x width 42m. what is the area of the rectangle

Answers

Answer: 1428m

Step-by-step explanation: The formula for a regular rectangle is l x w = A, or Length x Width = Area. So, if you replace L with 34 and W with 42, you will get your answer by multiplying the numbers

1,428m^2

34m X 42m = 1,428m^2

show if the following numbers are rational 1¾

Answers

Answer:

Rational!

Hope that helps!

Step-by-step explanation:

in the picture is my question :3 thank you so much for your help!

Answers

y= .613x + 4.142
is the answer

Which set of numbers are factors of 8? *

1, 4, 5
1, 2, 5
1, 2, 4

Answers

Answer: 1,2,4

Step-by-step explanation: hope it helps thx for the points :)

Answer:

should be 1,2,4!

Step-by-step explanation:

these numbers can be multiplied to get 8

Write an equation for the line in slope-intercept form.
Please help ASAP!!!

Answers

Answer:

y= 3x + 5

Step-by-step explanation:

y

the intecept cross x=3 and y=5

nancy lives on a corner lot. cutting across a lot that is 36 feet, and 8 ft longerthan the width.find the length and width if the lot

Answers

Answer:

The length of the lot is 13 feet, and the width is of 5 feet.

Step-by-step explanation:

Perimeter of a rectangle:

The perimeter of a rectangle of length l and width w is given by:

[tex]P = 2(l + w)[/tex]

Lot of 36 feet:

Rectangular, so [tex]P = 36[/tex]

Length 8 feet longer than the width:

This means that [tex]l = 8 + w[/tex]

Finding the width:

[tex]P = 2(l + w)[/tex]

[tex]2(8 + w + w) = 36[/tex]

[tex]16 + 4w = 36[/tex]

[tex]4w = 20[/tex]

[tex]w = \frac{20}{4}[/tex]

[tex]w = 5[/tex]

Finding the length:

[tex]l = 8 + w = 8 + 5 = 13[/tex]

The length of the lot is 13 feet, and the width is of 5 feet.

new i wiil make you brainleist One-fourth the difference between 2/3 and 1/2.

Answers

Forgive me if I’m wrong but is it 2.75

what do a and b stand for in this equation. 360°÷a=b?

Answers

Answer:

a: Represents the number of equal parts parts the circle is divided

b: Represents the measure of the central angle of each part.

(I hope this helps!!)

Answer:

a: Represents the number of equal parts parts the circle is divided

b: Represents the measure of the central angle of each part.

Step-by-step explanation:

Mike cuts a pie into 4 equal pieces. What is the angle measure of each piece

Answers

Answer:

90°

hope this helps :)

Answer:

90 degrees because when you cut each of them they will each measure 90 degrees.

Solve for x. −3/4(x+2)=6

Answers

Answer:

x= -10

Step-by-step explanation:

Answer:

x=-10

Step-by-step explanation:

In this figure, sin(a) = 2/3
What is the value of cos(b) ?

Answers

9514 1404 393

Answer:

  C)  2/3

Step-by-step explanation:

In order to answer the question, we must make an assumption about the given figure. We must assume it is a rectangle, so the left side and right side of the figure are the same length.

The ratio of the right side of the figure to the diagonal is sin(a). The ratio of the left side of the figure to the diagonal is cos(b). If we assume that the left and right sides are the same length, then ...

  sin(a) = 2/3 = side/diagonal = cos(b) = 2/3

_____

Additional comments

The figure does not have enough information to support our assumption. Of the answer choices, only (A) is a reasonable alternative. (The value of the cosine must be at most 1.)

The first attachment shows the figure with sin(a) = cos(b) = 2/3. The second attachment shows the figure with cos(b) = 1/3. There is nothing in the given drawing to say this is an incorrect interpretation. (Drawings cannot be assumed to be to scale.)

Paisley works on her drawings for 2 hours. She spends16 hour on each drawing. How many drawings does she work on in 2 hours?

Answers

Answer:

32

Step-by-step explanation:

You just need to multiply 16 times two.

Answer:

12 i believe.

Step-by-step explanation:

2/ 1/6 = 2 x 1/6= 1/12. using a tape diagram, you can start with two, add 6 in each 1/2 you will get 12.

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