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OverLord2011 [107]
2 years ago
7

Select the expression that can be used to find the volume of this rectangular prism. A. ( 6 × 3 ) + 15 = 33 i n . 3 (6×3)+15=33

in.3 B. ( 3 × 15 ) + 6 = 51 i n . 3 (3×15)+6=51 in.3 C. ( 3 × 6 ) + ( 3 × 15 ) = 810 i n . 3 (3×6)+(3×15)=810 in.3 D. ( 3 × 6 ) × 15 = 270 i n . 3
Mathematics
2 answers:
Usimov [2.4K]2 years ago
6 0

Answer:

D

Step-by-step explanation:

(3x6)x15=270 in

the volume formula is base times width times height.

Lisa [10]2 years ago
3 0

Answer:

D

Step-by-step explanation:

i took the quiz

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Let X be a Bernoulli rv with pmf as in Example 3.18. a. Compute E(X2 ). b. Show that V(X) 5 p(1 2 p). c. Compute E(X79).
spayn [35]

The Bernoulli distribution is a distribution whose random variable can  only take 0 or 1

  • The value of E(x2) is p
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<h3>How to compute E(x2)</h3>

The distribution is given as:

p(0) = 1 - p

p(1) = p

The expected value of x2, E(x2) is calculated as:

E(x^2) = \sum x^2 * P(x)

So, we have:

E(x^2) = 0^2 * (1- p) + 1^2 * p

Evaluate the exponents

E(x^2) = 0 * (1- p) + 1 * p

Multiply

E(x^2) = 0 +p

Add

E(x^2) = p

Hence, the value of E(x2) is p

<h3>How to compute V(x)</h3>

This is calculated as:

V(x) = E(x^2) - (E(x))^2

Start by calculating E(x) using:

E(x) = \sum x * P(x)

So, we have:

E(x) = 0 * (1- p) + 1 * p

E(x) = p

Recall that:

V(x) = E(x^2) - (E(x))^2

So, we have:

V(x) = p - p^2

Factor out p

V(x) = p(1 - p)

Hence, the value of V(x) is p(1 - p)

<h3>How to compute E(x79)</h3>

The expected value of x79, E(x79) is calculated as:

E(x^{79}) = \sum x^{79} * P(x)

So, we have:

E(x^{79}) = 0^{79} * (1- p) + 1^{79} * p

Evaluate the exponents

E(x^{79}) = 0 * (1- p) + 1 * p

Multiply

E(x^{79}) = 0 + p

Add

E(x^{79}) = p

Hence, the value of E(x79) is p

Read more about probability distribution at:

brainly.com/question/15246027

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