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3 years ago

12

The base of a rectangular prism has an area of 12 square centimeters. The height of the rectangular prism is 3 centimeters. What

is the volume, in cubic centimeters, of this rectangular prism?

2 answers:

rusak2 [61]3 years ago

8 0

Answer: The volume of the rectangular prism is 36 cubic centimeters.

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a rectangular prism: base area x height

Replacing with the values given:

V = 12 x 3 = 36 cubic centimeters

The volume of the rectangular prism is 36 cubic centimeters.

Feel free to ask for more if needed or if you did not understand something.

UkoKoshka [18]3 years ago

3 0

Answer:

36 cubic centimeters

Step-by-step explanation:

In this question, we are tasked with calculating the volume of the rectangular prism.

mathematically, that can be obtained by using the formula for the volume of the rectangular prism.

V = Base area * height

from the question, we have the base area as 12 square centimeters and the height as 3 centimeters.

Plugging these values into the equation, the value of the volume is thus 12 * 3 = 36 cubic centimeters

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Do bonds reduce the overall risk of an investment portfolio? Let x be a random variable representing annual percent return for t

rjkz [21]

Answer:

COV (all stocks) = 0.55

COV (stocks and bonds) = 0.82

Step-by-step explanation:

Coefficient of Variation is used to measure variability.

It is defined as the ration of standard deviation and the mean.

It can be used to compare variability of two population or two samples.

Formula:

$\text{Coefficient of Variation} = \displaystyle\frac{\text{Standard Deviation}}{\text{Mean}}$

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

x: 14, 0, 39, 25, 32, 27, 28, 14, 14, 15

$Mean = \frac{208}{10} = 20.8$

$Standard~Deviation = \sqrt{\frac{1169.6}{9} } = 11.39$

$Coefficient~of~Variation = \frac{11.39}{20.8} = 0.55$

y = 6, 2, 29, 17, 26, 17, 17, 2, 3, 5

$Mean = \frac{124}{10} = 12.4$

$Standard~Deviation = \sqrt{\frac{924.4}{9} } = 10.13$

$Coefficient~of~Variation = \frac{10.13}{12.4} = 0.82%$

Since coefficient of variation of x is less compared to y, thus it could be said bonds does not reduce overall risk of an investment portfolio.

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3 years ago

What’s 2 numbers that multiply to make -21 but add up to -4

irinina [24]

Answer:

2 numbers that multiply to make -21 = 3 x (-7)

2 numbers that add up to -4 = 3 - 7

Step-by-step explanation:

2 numbers that multiply to make -21 = 3 x (-7) = -21

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2 years ago

ii. A machine is sold for 7,000/-. The gross loss is 20% of the cost. What are the cost and gross loss?

aleksley [76]

Given:

Selling price of a machine = 7000/-

Gross loss = 20%.

To find:

The cost and gross loss.

Solution:

Let x be the cost of machine.

According to the question,

$x-20\%\text{ of }x=7000$

$x-\dfrac{20}{100}x=7000$

$x-0.2x=7000$

$0.8x=7000$

Divide both sides by 0.8.

$x=\dfrac{7000}{0.8}$

$x=8750$

So, the cost of the machine is 8750/-.

Now,

$\text{Gross Loss}=\text{Cost}-\text{Selling price}$

$\text{Gross Loss}=8750-7000$

$\text{Gross Loss}=1750$

Therefore, the gross loss is 1750/-.

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Step-by-step explanation:

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2 years ago

Ratiearbiteracy

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