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atroni [7]
4 years ago
11

When dividing in the scientific notation do you change the sign of the second base number?

Mathematics
1 answer:
ludmilkaskok [199]4 years ago
8 0
When you divide using scientific notation, you are basically subtracting the exponents sepretately from the base, and depending on the number you are dividing, you're dividing the second base into the first base, example:
8x^3
4x^2
the problem is basically
8÷4(x^3-2)
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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
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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

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5 0
4 years ago
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Answer:

option B) Bar 2

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Second bar represents = 6 drivers

Third bar represents = 1 driver

Fourth bar represents = 3 drivers

Fifth bar represents = = 4 drivers

So the second bar represents the the number of gallons most drivers purchased during the week.

Therefore, option B) Bar 2 is the correct answer.

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