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3 years ago

11. Which property is illustrated by 5+n=n +5?

Mathematics

1 answer:

ohaa [14]3 years ago

7 0

Answer:

The Communative Property

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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

Hi My question is what is 12% of 21

vfiekz [6]

Answer:

2.52

Step-by-step explanation:

21*.12=

2.52

5 0

3 years ago

Simplify or Solve><br> g(-x) = -x + 2 = ?

Sergeeva-Olga [200]

Answer:x

= −2/ g − 1

Step-by-step explanation:

3 0

3 years ago

Two garden hoses are filling a kiddie pool together. Together they can fill the pool in 12 minutes. If used separately, one hose

sasho [114]

Answer:

Step-by-step explanation:

if the faster hose is ten minutes faster and both together only takes 12 minutes then the secound one by it self should take 22 mins. i think im not sure tho

8 0

2 years ago

100 points!! Brainliest if correct

ollegr [7]

Answer:

SA = 16x^2 +30x+6

Step-by-step explanation:

The surface area is given by

SA = 2 (lw + lh + wh)

The length is 2x, the width is (x+3) and the height is (2x+1)

SA = 2 ((2x)*(x+3) + (2x)*(2x+1) + (x+3) (2x+1))

We need to distribute

SA = 2 ((2x^2+6x) + (4x^2+2x) + (2x^2 +6x+x+3))

Combine like terms

SA = 2 (2x^2+ 4x^2+2x^2+6x+2x +6x+x+3)

SA = 2 (8x^2+15x+3)

Multiply by 2

SA = 16x^2 +30x+6

8 0

3 years ago

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