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3 years ago

Vertical angles must

Mathematics

2 answers:

Brut [27]3 years ago

8 0

Answer:

be congruent

Step-by-step explanation:

vertical angles are congruent

Nutka1998 [239]3 years ago

6 0

Answer:

see below

Step-by-step explanation:

Vertical angles are formed by two lines and are opposite each other

Vertical angles are equal

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PLEASE SOMEONE PLEASE HELP ME

Monica [59]

Answer:

- 5

Step-by-step explanation:

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3 years ago

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If x + y= 2, x - y= 2 then x=

andriy [413]

Answer:

x374874593893

Step-by-step explanation:

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3 years ago

Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviat

drek231 [11]

Answer:

$E(X) = \sum_{i=1}^n X_i P(X_i) = 0*0.031 +1*0.156+ 2*0.313+3*0.313+ 4*0.156+ 5*0.031 = 2.5$

We can find the second moment given by:

$E(X^2) = \sum_{i=1}^n X^2_i P(X_i) = 0^2*0.031 +1^2*0.156+ 2^2*0.313+3^2*0.313+ 4^2*0.156+ 5^2*0.031 =7.496$

And we can calculate the variance with this formula:

$Var(X) =E(X^2) -[E(X)]^2 = 7.496 -(2.5)^2 = 1.246$

And the deviation is:

$Sd(X) = \sqrt{1.246}= 1.116$

Step-by-step explanation:

For this case we have the following probability distribution given:

X 0 1 2 3 4 5

P(X) 0.031 0.156 0.313 0.313 0.156 0.031

The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete.

The variance of a random variable X represent the spread of the possible values of the variable. The variance of X is written as Var(X).

We can verify that:

$\sum_{i=1}^n P(X_i) = 1$

And $P(X_i) \geq 0, \forall x_i$

So then we have a probability distribution

We can calculate the expected value with the following formula:

$E(X) = \sum_{i=1}^n X_i P(X_i) = 0*0.031 +1*0.156+ 2*0.313+3*0.313+ 4*0.156+ 5*0.031 = 2.5$

We can find the second moment given by:

$E(X^2) = \sum_{i=1}^n X^2_i P(X_i) = 0^2*0.031 +1^2*0.156+ 2^2*0.313+3^2*0.313+ 4^2*0.156+ 5^2*0.031 =7.496$

And we can calculate the variance with this formula:

$Var(X) =E(X^2) -[E(X)]^2 = 7.496 -(2.5)^2 = 1.246$

And the deviation is:

$Sd(X) = \sqrt{1.246}= 1.116$

6 0

3 years ago

(5-21)-(3 + 1) = <br> simplify involving i

ArbitrLikvidat [17]

Answer:

-20

Step-by-step explanation:

Do the math in the parenthesis first

(5-21) = -16

(3+1) = 4

Rewrite the problem

- 16 - 4= -20

The answer is -20

3 0

2 years ago

How can I prove mathematically that (a / b) + (c / d) = (ad + bc) / bd

wlad13 [49]

Step-by-step explanation:

(a/b) + (c/d)

Find the common denominator. In this case, bd. So multiply the first fraction by d/d, and the second fraction by b/b.

(ad)/(bd) + (bc)/(bd)

Add the fractions.

(ad + bc) / (bd)

7 0

3 years ago