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3 years ago

Simplify the following problem. (-8+61) +(6+61)

Mathematics

1 answer:

Travka [436]3 years ago

3 0

Answer: -8+61 = 53 and 6+61 = 67

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Simplify (5+1)^2-(11+3^2) divided by four

telo118 [61]

Answer: 6

Step-by-step explanation:

(5+1)^2-(11+3^2)

25+1-11+9

26-20

7 0

4 years ago

Read 2 more answers

I'm very confused on this question!! SOMEONE HELP ASAP!!!

bearhunter [10]

Answer:

AC and YX are corresponding sides.

AB and YZ are corresponding sides.

BC and ZX are corresponding sides.

Step-by-step explanation:

Hope this helps and have a nice day

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3 years ago

Which is the prime factorization of 24?

ella [17]

Answer:

I would prefer 2×2×2×3

Step-by-step explanation:

2×2×2×3

24 = 2³ x 3

7 0

3 years ago

What is the slope, y-intercept, and equation of a line given the points (-4, 0) and (1, 5)?

Alex Ar [27]

Answer:

$Slope: 1\\y-Intercept: 4\\Equation: y = x + 4$

Step-by-step explanation:

Given two points, we can find the equation of the line between them with the following:

$y = mx + b\\m = \frac{y_2-y_1}{x_2-x_1}$

First, we can calculate m, or slope

$m = \frac{y_2-y_1}{x_2-x_1} = \frac{5-0}{1-(-4)} = \frac{5}{5} = 1$

Next we can use the top equation and solve for b, the y-intercept

$y = mx + b\\y = x + b\\5 = (1) + b\\b = 4\\\\y = x + 4$

$Slope: 1\\y-Intercept: 4\\Equation: y = x + 4$

3 0

3 years ago

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

Nezavi [6.7K]

$\mathbb E\left(\dfrac{X-\mu}{\sigma}\right)=\dfrac1\sigma\mathbb E(X)-\dfrac\mu\sigma=\dfrac{\mu-\mu}\sigma=0$

$\mathbb E\bigg(\left(\dfrac{X-\mu}\sigma\right)^2\bigg)=\dfrac1{\sigma^2}\mathbb E\left(X^2-2\mu X+\mu^2\right)=\dfrac{\mathbb E(X^2)-2\mu\mathbb E(X)+\mu^2}{\sigma^2}$
$=\dfrac{\mathbb E(X^2)-2\mu^2+\mu^2}{\sigma^2}=\dfrac{\mathbb E(X^2)-\mu^2}{\sigma^2}=\dfrac{\mathbb E(X^2)-\mathbb E(X)^2}{\sigma^2}$
$=\dfrac{\mathbb V(X)}{\sigma^2}=\dfrac{\sigma^2}{\sigma^2}=1$

3 0

4 years ago