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solong [7]
3 years ago
5

Let $\mu$ and $\sigma^2$ denote the mean and variance of the random variable x. determine $e[(x-\mu)/\sigma]$ and $e{[((x-\mu)/\

sigma)^2]}$
Mathematics
1 answer:
Nezavi [6.7K]3 years ago
3 0
\mathbb E\left(\dfrac{X-\mu}{\sigma}\right)=\dfrac1\sigma\mathbb E(X)-\dfrac\mu\sigma=\dfrac{\mu-\mu}\sigma=0

\mathbb E\bigg(\left(\dfrac{X-\mu}\sigma\right)^2\bigg)=\dfrac1{\sigma^2}\mathbb E\left(X^2-2\mu X+\mu^2\right)=\dfrac{\mathbb E(X^2)-2\mu\mathbb E(X)+\mu^2}{\sigma^2}
=\dfrac{\mathbb E(X^2)-2\mu^2+\mu^2}{\sigma^2}=\dfrac{\mathbb E(X^2)-\mu^2}{\sigma^2}=\dfrac{\mathbb E(X^2)-\mathbb E(X)^2}{\sigma^2}
=\dfrac{\mathbb V(X)}{\sigma^2}=\dfrac{\sigma^2}{\sigma^2}=1
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An account earns simple interest. Find the annual interest rate. Interest = $60 principle = $500 time = 2 years Please help!!
Step2247 [10]

Answer:

A = $560.00

Step-by-step explanation:

I = A - P = $60.00

Formula:

A = P(1 + rt)

First, converting R percent to r a decimal

r = R/100 = 6%/100 = 0.06 per year.

Solving our equation:

A = 500(1 + (0.06 × 2)) = 560

A = $560.00

The total amount accrued on a principal of $500.00 at a rate of 6% per year for 2 years is $560.00.

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3 years ago
Can anybody help me with #14?
Basile [38]
The student's work is correct.
3 0
3 years ago
Read 2 more answers
*Need help asap*
aleksandr82 [10.1K]

One example would be x to the power of 1/3

which we would write as x^(1/3) for shorthand

It converts to "cube root of x".

----------------

The general rule is

x^{1/n} = \sqrt[n]{x}

if the font is too small, then the formula reads x^(1/n) is equal to square root x, with a small little n just above and to the left of the square root. This is known as the nth root of x.

Based on that general formula, we can say something like

x^{1/4} = \sqrt[4]{x}

(x to the 1/4th power is equal to fourth root of x)

note: you can replace x with any algebraic expression you want

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2 years ago
What does 5 - 4 1/8 equal?
harina [27]
7/8 , this is because there will only be 7/8 left over , hope this helps :)
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2 years ago
What’s the answer to 5 + 2x = 2x + 6
Firlakuza [10]

Answer:

Your answer is: No solution

Step-by-step explanation:

Hope this helped : )

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