Which of the following equations represent a proportional relationship
a: y=12.5x
b: y= 4x-1
c: x+y=3
d: y=3x (squared)

The mean absolute deviation is 1.6.

Given that the number of People per Household

1 6 2 4 4 3 5 5 2 8

We have to determine the mean absolute deviation

The mean absolute deviation is found by finding the mean, then finding how far each number is to the mean, then finding the mean of that.

The mean is: (1 + 6 + 2 + 4 + 4 + 3 + 5 + 5 + 2 + 8)/10 = 40/10 = 4

The distances of all of the numbers are

(absolute value of the difference between 3.5 and the number)

3,2, 2, 0, 0, 1, 1, 1, 2, 4

The mean of those is: 3+2+2+ 0+ 0+1+1+ 1+ 2+ 4 /10 = 16/10 = 1.6

Therefore the mean absolute deviation is 1.6.

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The volume of a prism is given by:

Volume of a prism = base area * height

From the the problem, we have been given volume of the prism = 1360 feet^3

Base area = 160 feet^2

height = x

1360 =160 * x

x = 1360/160 = 8.5 feet

Height of the container = 8.5 feet

You average across 4.6 minutes per customer.

The average is calculated as the product of all values divided by all possible values. It can also be described as mean. The mean in statistics is the average value for the particular sample or collection of data. It is determined by dividing the sum of the total number of observations by the total number of observations.

Given:

Your last five customer interactions lasted 2,3,6,8 and 4 minutes.

The total number of observation is 5.

The average = the sum of the observations / the number of observations.

The average = (2 + 3 + 4 + 6 + 8)/5

The average = 23/5

The average = 4.6 minutes.

Therefore, 4.6 minutes per customer is the average.

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35/pi is a calculator question. A standard calculator has pi to about 10 digits stored in it's  memory. As an educated guess before doing it (according to the bible is just under 12 since pi is recorded as 3 in Kings I think).

Our calculators record pi as 3.141592654

35/pi = 11.14084602 which is just under 12. <<<<< answer

1

The complex number √-81-14 is best represented as 9i - √14 (option A)

Why is this correct?

In order to determine the correct notation for the complex number;

The square root of -81 yields the imaginary unit, [tex]\(i\)[/tex], multiplied by 9 (as [tex]\(\sqrt{-81} = 9i\)[/tex]).

The value -14 represents the real part of the complex number.

Hence, the precise notation that combines the imaginary and real parts of this complex number is 9i - √14.

Therefore, in a concise and accurate manner, the complex number √-81-14 is best represented as 9i - √14.

Complete question:

Which of the following is the correct notation for the complex number √-81-14

a) 9i - √14 b) √-81 + √-14 c) √-81 - 14i

Final answer:

Richard and Samantha should estimate yearly costs for non-monthly expenses, divide by 12, and save this amount each month, incorporating it as a fixed expense in their budget.

Explanation:

Richard and Samantha can account for non-monthly expenses in their monthly cash flow by setting aside money each month for these irregular expenses. To do this, they should estimate the total cost of these expenses for the year and divide that amount by 12. This will provide the monthly amount they need to save in order to cover costs such as car repairs and vacations without disrupting their budget. Each month, this amount should be treated like a fixed expense and set aside in a savings or separate account, ensuring that funds are available when these expenses occur.

Example:

Car Repairs: Estimated at $600 per year (divide by 12 = $50 per month)

Vacations: Estimated at $1200 per year (divide by 12 = $100 per month)

By including these estimated expenses in their monthly budget, they can create a more accurate and effective budget that accommodates all their financial activities throughout the year.

Answer:105cm to the power of three

Step-by-step explanation:

Hi there!

Step-by-step explanation:

First, you use slope formula.

[tex]SLOPE=\frac{Y^2-Y^1}{X^2-X^1}=\frac{RISE}{RUN}[/tex]

[tex]\frac{(-4)-0=-4}{0-(-2)=0+2=2}=\frac{-4}{2}=\frac{-4/2}{2/2}=\frac{-2}{1}=-2[/tex]

Slope is -2

Answer is -2

*the answer must have a negative sign.*

I hope this helps you!

Thanks!

Have a nice day! :)

-Charlie

:D

Answer:

3/8. + 1/3

9/24 +8/24

17/24

Kiesha will have more than 97% of the products working. The experimental probability is 0.98, not 1/30 or 1/50. When the inventory is 4000 clocks, the prediction is that 3880 clocks will work.

To determine if Kiesha will have enough working clocks to please the manager, we need to calculate the percentage of clocks that are functioning properly. We know that 6 out of 300 clocks tested were not working, which means 300 - 6 = 294 clocks were working properly. The percentage of working clocks is (294/300) x 100% = 98%. This means that Kiesha will have more than 97% of the products working, so the statement 'Kiesha will have more than 97% of the products working' is true. The statement 'Kiesha’s experimental probability is 1/30' is false because the experimental probability is calculated by dividing the number of successful outcomes (294) by the total number of trials (300), giving 294/300 = 0.98. The statement 'Kiesha will not meet 97% because more than 3% of her clocks will be broken' is false because the percentage of working clocks is 98%. The statement 'Kiesha’s experimental probability is 1/50' is false because the experimental probability is 0.98, not 1/50. When the inventory is 4000 clocks, the prediction is that 97% of the clocks will work, which is (0.97 x 4000) = 3880 clocks.

Kiesha's experimental probability of a clock not working is 1/50, and with 98% of her clocks working properly, she will exceed her manager's 97% requirement. When scaled to an inventory of 4000 clocks, Kiesha can expect 3920 to be functioning correctly.

When analyzing Kiesha's prediction about her clocks, we find that if 6 out of 300 clocks are not functioning, then 294 clocks are working properly. To determine if Kiesha will have enough working clocks to please her manager (who requires 97% to be in working order), we calculate the percentage of working clocks:

294/300 = 0.98 or 98%

This is higher than the manager's requirement of 97%. Therefore, the following statements about Kiesha's prediction are true:

Thus Kiesha's prediction that she will meet the quality requirements is accurate.

To simplify 5√180, break down 180 into its prime factors, take out the square of the prime factors, and simplify.

To simplify 5√180, we can break down 180 into its prime factors which are 2^2 * 3^2 * 5. Then, we can take out the square of the prime factors since we have a square root. This leaves us with 2 * 3 * 5√5. Simplifying further, we get 30√5.

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We have been given that the base of the prism is a trapezoid. Hence, first of all we find the area of the trapezoid.

Trapezoid has height 3 cm and bases of 2 cm and 5 cm.

Hence, the area of the trapezoid is given by

[tex]A=\frac{a+b}{2} \times h\\ \\ A=\frac{2+5}{2} \times 3\\ \\ A=\frac{21}{2}[/tex]

Therefore, the volume of the right prism with height h=10 cm is given by

[tex]V=\text{Base area }\times { height}\\ \\ V=\frac{21}{2} \times 10\\ \\ V=105 cm^3[/tex]

Therefore, the volume of the right prism is 105 cubic centimeters.

Inequality representing the relation of 07.06 number line with open circle on 9 and shading to the left is given by x < 9.

" Inequality is defined as the algebraic expression which relates the given variables as per the condition with the sign of inequality <,> , ≤, ≥."

According to the question,

Given,

Number on the number line = 07.06

Number on number line with open circle = 9

Inequality shown on the number line drawn we get,

Condition : shaded to the left

Inequality as per the condition: x < 9

Hence, inequality representing the relation of 07.06 number line with open circle on 9 and shading to the left is given by x < 9.

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