A recent survey was conducted to compare the cost of solar energy to the cost of gas or electric energy. Results of the survey revealed that the distribution of the amount of the monthly utility bill of a 3-bedroom house using gas or electric energy had a mean of $123 and a standard deviation of $9. If nothing is known about the shape of the distribution, what percentage of homes will have a monthly utility bill of less than $105

Answers

Answer 1

Answer:

At most 25% of homes will have a monthly utility bill of less than $105.

Step-by-step explanation:

Chebyshev Theorem

The Chebyshev Theorem can also be applied to non-normal distribution. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].

In this question, we have that:

The mean is $123.

The standard deviation is $9.

What percentage of homes will have a monthly utility bill of less than $105

105 = 123 - 2*9

So 105 is two standard deviations below the mean.

We have that, by the Chebyshev Theorem, at least 75% of the measures will be within 2 standard deviations from the mean, so at most 25% of the measures will be more than two standard deviations of the mean(greater than 141 ou lesser than 105).

So at most 25% of homes will have a monthly utility bill of less than $105


Related Questions

Select all of the equations that are not functions.
A) y=x^2
B) x² + y^2=3
C) y=4
D) x=3

Answers

Answer:

B

Step-by-step explanation:

x² + y² = 3  creates a circle and circles are not functions because one x-value relates to two y-values instead of one

Sketch the graph of the function below, including correct signs, x-intercepts and y-
intercepts.
f(x) = (x + 2)²(x – 5)2
y
200
180
160
140
120
100
80
60
40
20
-10 9 8 7 6 5 4 3 2
1
2
3
5
6
7
9
10
-1
-20
-40
-60
-80
-100
- 120
-140
-160
-180
-200

Answers

Answer:

Sketch the graph of the function below, including correct signs, x-intercepts and y-

intercepts.

f(x) = (x + 2)²(x – 5)2

y

200

180

160

140

120

100

80

60

40

20

-10 9 8 7 6 5 4 3 2

1

2

3

5

6

7

this is math and I need help to solve​

Answers

Answer:

A. 15

Step-by-step explanation:

Find the area of this parallelogram.
1
1
1
1
8.7 cm
10.1 cm
16.9 cm​

Answers

Answer:

147.03 sq.cm.  

Step-by-step explanation:  

Equation for finding the area of a parallelogram:  

b·h=area

Equation for this parallelogram(you don't need the 10.1):

16.9·8.7=147.03

can someone plz solve this 20/160 = x/220

Answers

Answer:

x=55/2 in fractions and 27.5 in decimals

Step-by-step explanation:

60% of what number is 33?

Answers

60 percent (calculated percentage %) of what number equals 33? Answer: 55.

Answer:

55 :)

Step-by-step explanation:

please help ppppppppppppp

Answers

Answer:

112

Step-by-step explanation:

formula = lwh/3 (length x width x height / divided by 3)

Answer:

112in

Step-by-step explanation:

Please mark brainliest.

If you can buy 3 items for 9.00, how much will it cost for 5 items

Answers

Answer:

15.00

Step-by-step explanation:

since you buy 3 items for 9.00, then you can buy one item for 9.00/3 = 3.00

therefore, for 5 items, it will be

cost of one item * 5

which is, 3.00 * 5 = 15.00

you're welcome.....

5 items cost 15.00.

Someone please help!!!!!

Answers

B and C by SSA (pls mark as brainliest)

In which part of the graph is the distance from home constant?
Distance from home
4
5
Time
A. 4
B. 3
C. 2
D. 1

Answers

Answer:

I chose B. 3

Step-by-step explanation:

I chose B because the person is either staying still, not moving, or something of the sort.

You start at the origin (0,0). Complete the following transformations and determine the final point.
• translate 2 units right and 3 units down
• reflect over the x-axis
• rotate 180° about the origin
• translate (x,y) → (x + 6,9 + 7)

Answers

Answer:

The rule for a rotation by 180° about the origin is (x,y)→(−x,−y) .

Step-by-step explanation:

hope it helps

A cylinder has a volume of 72 pi cubic inches. If the radius is 3 inches what is the height

Answers

Answer:

24

Step-by-step explanation:

common sense

The scatter plot shows the average weights of children at a pediatrics clinic. Write an equation for the trend line, using the points (5,40) and (0,10).

Answers

Given:

The points are (5,40) and (0,10).

To find:

The equation for the trend line using the given points.

Solution:

If a line passes through two points, then the equation of the line is:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Two points are (5,40) and (0,10). So, the equation of trend line is

[tex]y-40=\dfrac{10-40}{0-5}(x-5)[/tex]

[tex]y-40=\dfrac{-30}{-5}(x-5)[/tex]

[tex]y-40=6(x-5)[/tex]

[tex]y-40=6x-30[/tex]

Adding 40 on both sides, we get

[tex]y=6x-30+40[/tex]

[tex]y=6x+10[/tex]

Therefore, the equation of trend line is [tex]y=6x+10[/tex].

(4,9) (2,6) (0,3) y intercept please ​

Answers

Hi there!

Hope this helps!

Challenge ​, ​, and each went for a walk yesterday afternoon. walked
at a constant speed of
. walked
at a constant speed of
. walked for and at a constant speed of
. List the three people in order of the times they spent walking from least time to greatest time.

Answers

i went on a walk did you

Work out the value of (3^2)2 x (10^3)2

Answers

Answer:

Value In Scientific Notation Will Be: 3.6 x 10^4

Expanded Form Will Be: 36000

Round= 2.718281828459045 to the nearest thousand

Answers

Answer:

2.718

Step-by-step explanation:

2.718281828459045 to the nearest thousandths is 2.718

Michelle bought a computer that was 25% off the regular price of $980. If a 6% sales tax was added to the cost of the computer, what was the total price Michelle paid for the computer?

Answers

Answer:

$779.1

Step-by-step explanation:

Original price = $980

Michelle bought a computer that was 25% off the regular price of $980.

Amount Michelle bought it = 75% of $980 = 0.75 * 980 = $735

If a 6% sales tax was added to the cost of the computer,

Sales tax = 6% of $735 = 0.06 * 735 = $44.1

what was the total price Michelle paid for the computer?

Total Price = Amount Michelle bought it + Sales Tax

Total Price = $735 + $44.1 = $779.1

Answer:

Step-by-step explanation:

To calculate the total that will be paid we first need to calculate how much the computer cost with the discount applied. First, we need to turn the percentage into a decimal by dividing by 100.

25% /100 = 0.25

Now we multiply the regular price of the computer by the remainder of 1 minus 0.25

980 * (1 - 0.25) = $735

Now that we have the discounted price we need to multiply this by the sales tax in decimal form after adding 1 to the decimal.

6% / 100 = 0.06

735 * (1 + 0.06) = 779.10

Finally, we can see that the total price that Michelle paid for the computer is $779.10

Pls help I’ll brainlest

Answers

-11 I’m pretty sure that’s correct

Coupd someone help me with this? (picture)​

Answers

Answer:

2x3 = 6

6x14 = ...

Step-by-step explanation:

All the solutions with a + in them are not applicable to this multiplication

A class is made up of 50 boys, 25 girls,
What is the ratio of boys to girls.

Answers

Answer:

10 boys to 5 girls you got to divide

Step-by-step explanation:

you have to put 50 over 25 and simplify them by 5 and you get 10 boys to 5 girls I think.

  Class made up of 50 boys and 25 girls will have boys to girls ratio as 2 : 1

Calculations for the ratio of boys to girls:

Ratio of the boys to girls in a class can be evaluated by the expression,

Ratio = [tex]\frac{\text{Total number of boys}}{\text{Total number of girls}}[/tex]

Given in the question,

Number of boys = 50

Number of girls = 25

Substitute these numbers in the expression and simplify the fraction,

Raio = [tex]\frac{50}{25}[/tex]

        = [tex]\frac{2}{1}[/tex]

        = 2 : 1

   Therefore, ratio of boys to girls in the class is 2 : 1

Learn more to evaluate the ratio here,

https://brainly.com/question/14966195?referrer=searchResults

What is the slope, y-intercept and equation, marking Brainly .

Answers

Answer:

m=slope = 5

b=y intercept=-4

Step-by-step explanation:

Answer:

Slope=3/4, y-intercept=3.5, equation=y=3/4x+3.5

Step-by-step explanation:

can someone solve this for me please, i really need help

Answers

Answer:

I sorted them by colors: red goes with red, blue with blue, purple with purple and brown with brown :))

Step-by-step explanation:

Please use the Quadratic Formula to find the zeros of the function below.
g(x) = 2x2 + x + 25


Answers

Answer:

Step-by-step explanation:

what does one and sixty-three hundredths look like?

Answers

Answer:

1.630

Step-by-step explanation:

A. 100 degrees
B. 150 degrees
C. 33 degrees
D. 107 degrees
I need help with my exam

Answers

It’s 100 it can’t be 33 and it can’t be 150

Kiara tosses four different coins. What is the probability that the coins land with two head and two tails showing?


Group of answer choices


4/8


0


6/8


6/16

Answers

Answer:
4/8



Good luck

distribute this: 3(9x+2)
have a lovely day my fellow earthlings <3

Answers

Answer:

27x + 6

Step-by-step explanation:

Distributive property of multiplication:

a(b + c) = ab + ac

Apply to the given expression:

3(9x+2) =3(9x) + 3(2) =27x + 6

Answer:

27x+6

Step-by-step explanation:

1/2×-7=1/3(×-12) solve​

Answers

Answer:

X=18

Step-by-step explanation:

(1/2)*x-7 = (1/3)*(x-12) // - (1/3)*(x-12)

(1/2)*x-((1/3)*(x-12))-7 = 0

(-1/3)*(x-12)+(1/2)*x-7 = 0

x/2-1/3*(x-12)-7 = 0

(-1/3*2*(x-12))/2+x/2+(-7*2)/2 = 0

x-1/3*2*(x-12)-7*2 = 0

1/3*x-14+8 = 0

1/3*x-6 = 0

(1/3*x-6)/2 = 0

(1/3*x-6)/2 = 0 // * 2

1/3*x-6 = 0

1/3*x-6 = 0 // + 6

1/3*x = 6 // : 1/3

x = 6/1/3

x = 18

What are two equivalent fractions to 9/15

Answers

One could be 3/5
And the other could be 6/10

Answer:

3/5 and 18/30

Step-by-step explanation:

Extending answer so I can send

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