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Schach [20]
3 years ago
5

A company has an annual electric bill of $495,000. Of that amount, 3/5 was billed

Mathematics
1 answer:
disa [49]3 years ago
7 0

Answer:

$74,250

Step-by-step explanation:

495,000x0.6=297,000

297,000/4=74,250

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Suppose that you walk 10mi express the distance in yards
son4ous [18]

1 mile = 1760 yds

Therefore, if we multiply 1760 by 10 we will get 10 miles in yards

1760 * 10 = <em>17600 yards</em>

Hope it was helpful and clear.

Cheers,

8 0
3 years ago
Read 2 more answers
Write a expression that is Darryl has a board that is 8 feet long. He cuts it into pieces that are each 2 feet long. What is the
Ivahew [28]

This question is based on division of numbers and ratios.

Darryl has 8 feet of board.

It is given that,he cuts the board into pieces which are 2 feet long.

To find the number of pieces, we divide the whole length by the length of each board.

The expression which shows this is \frac{8}{2}

Answer = \frac{8}{2}

6 0
3 years ago
Let X have the uniform distribution U(0, 2) and let the conditional distribution of Y , given that X = x, be U(0, x). Find the j
Elina [12.6K]

Answer:

f(x,y) = \frac{1}{x} \frac{1}{2}= \frac{1}{2x} , 0\leq x \leq 2 , 0\leq y \leq x

E(Y|x) = \int_{x=y}^2 y \frac{1}{x} dx= y ln x \Big|_{x=y}^2 =y ln 2 -y ln y = y(1-lny) \

Step-by-step explanation:

We have two random variables X and Y. X \sim Unif(0,2) and given that X=x, Y has uniform distribution (0,x)

From the definition of the uniform distribution we have the densities for each random variable given by:

f_X (x) =\frac{1}{2} , 0\leq x\leq 2

f_{Y|X} (y|x) = \frac{1}{x}, 0\leq y \leq x

And on this case we can find the joint density with the following formula:

f(x,y) = f_{Y|X}(y|x) f_X (x)

And multiplying the densities we got this:

f(x,y) = \frac{1}{x} \frac{1}{2}= \frac{1}{2x} , 0\leq x \leq 2 , 0\leq y \leq x

Now with the joint density we can find the expected value E(Y|x) with the following formula:

E(Y|x) = \int y f_{Y|X}(y|x)dx

And replacing we got:

E(Y|x) = \int_{x=y}^2 y \frac{1}{x} dx= y ln x \Big|_{x=y}^2 =y ln 2 -y ln y = y(1-lny) \

5 0
4 years ago
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Katena32 [7]
The answer is 12 and 4 because 4 times 2 is 8 and if you add that by four more that would equal 12 the same amount as the first nubmer
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The answer is B) divide 124 by 275
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