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Mathematics

1 answer:

goldfiish [28.3K]2 years ago

5 0

Answer:

an average of 1.3 inches

Step-by-step explanation:

Using the mean absolute deviation, it can be concluded that the daily rainfall volume differs from the mean by an average of 1.3 inches.

What is the mean absolute deviation of a data-set?

The mean of a data-set is given by the sum of all observations divided by the number of observations.

The mean absolute deviation of a data-set is the sum of the absolute value of the difference between each observation and the mean, divided by the number of observations.

The mean absolute deviation represents the average by which the values differ from the mean.

In this problem, the mean absolute deviation is of 1.3 inches, hence, it can be concluded that the daily rainfall volume differs from the mean by an average of 1.3 inches.

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hoa [83]

Answer:

ACV=$4,500

Step-by-step explanation:

We have that the actual cash value (ACV) is defined as:

$ACV=\dfrac{R\times(E-C)}{E}$

Where:

$ACV =$ actual cash value

$R =$ replacement cost or purchase price of the item

$E =$ expected life of the item

$C =$ current life of the item

Then we have R=$6,000, C=5years, and to find the expected life of the item we can use the depreciating of the roof, then if the roof is depreciating $200 each year we just need to divide $4,000 by $200 to find the expected life of the roof:

$\dfrac{4,000}{200}=20$

Then the espected life of the roof is 20 years, with this result we have all the data, then:

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Then the ACV is $4,500

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3 years ago

What is the volume of a cone that has a height of 10 feet and a base with a diameter of 2 and half feet?

lyudmila [28]

Volume of a cone: 1/3 $\pi$ r²h
r is the radius (diameter ÷ 2) and h is the height.

Find the radius first using the diameter: 2 $\frac{1} {2}$ ÷ 2 = 1.25

Now plug in the numbers into the formula.

1/3 $\pi$ 1.25²10 = <span>16.4
</span>
The volume of the cone is 16.4 cubic feet.

6 0

2 years ago

A particle travels along the x-axis such that its velocity is given by v(t) = (t^0.7 + 4t) cos (t^2). What is the average accele

Airida [17]

It's not clear to me what the given interval is supposed to be, so I'll use a generic one, [a, b] with a < b.

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