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3 years ago

– 2y – 10 = x - 10x - y = -14

Mathematics

1 answer:

fredd [130]3 years ago

5 0

Answer:

hey there guys ^^

Step-by-step explanation:

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Round 48.073 to the nearest hundredth.

tresset_1 [31]

48.07 will be the answer. Find the number in the hundredth place 7
and look one place to the right for the rounding digit 3.

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3 years ago

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What is the value of |3.25| ?

Gre4nikov [31]

Answer:

3.25

Step-by-step explanation:

The answer is 3.25 because the absolute value of a number is basically that same number but it ALWAYS comes out positive.

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3 years ago

Simplify 3(12 - 8) + 5

lukranit [14]

Answer:

3(4) + 5

Step-by-step explanation:

Use BIDMAS (Brackets, indicies, division, multiplication, addition, subtraction.)

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3 years ago

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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

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) \$

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4 years ago

Maggie's brother is 10 years younger than twice her age. The sum of their ages is 29. How old is Maggie? Maggie is ___years old.

yulyashka [42]

Let M be the age of Maggie and B the age of her younger Brother:

Rewrite the problem from English language to Math's:
B = 2.M - 10 (1)
and M + B = 29 (Given) OR B = 29 -M (2)
Plug 2) into 1):

29 -M = 2.M -10
29 + 10 = 3 M →→3M = 39 and M = 39/3 = 13
Replace M by 13 and you will find B =6

Then Maggie = 13 year old and her brother B = 6 year old

3 0

4 years ago