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maria [59]
3 years ago
8

Solve the inequality.2(4+2x)25x+5​

Mathematics
1 answer:
Wewaii [24]3 years ago
6 0
2(4+2x)25x+5 = 300x + 5
2(4+2)•25x+5
2(4+2)•25x=300x
= 300x + 5
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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
  • The value of V(x) is p(1 - p)
  • The value of E(x79) is p

<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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2 years ago
How many real number solutions does the equation have 0=5x^2+2x-12
Harman [31]
 Rearrange the equation to standard form of a quadratic equation (ax^2+bx+c=0) by switching sides: 5x^2+2x-12=0. Now, use the quadratic equation formula to solve. You should come out with x_1=sqrt61-1/5 and x_2=-1+sqrt61/5. Thus, your answer is B, or two solutions.
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For the equation, complete the solution. 7x + y = −18
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Answer:

x= - 18/7 - 1/7y, y

or if you are solving for y= -18-7x, x

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Step-by-step explanation:

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A chocolate cake recipe serves 12 people. A blueberry cake recipe serves 36 people. A lemon cake recipe serves 16 people.
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Answer:

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Step-by-step explanation:

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Which is a better deal on a $345 item: 40% off original price or 30% off and additional 15% at the register?​
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Answer:

345 - 40% = 207$

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(345 - 30%) - 15% = 205.3 (Better deal)

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