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Alchen [17]
3 years ago
8

You are wakeboarding on a river. You travel 2 miles downstream to a marina for supplies, and then you travel 3 miles upstream to

a dock. The boat travels x miles per hour during the entire trip, and the river current is 3 miles per hour.
How long will the trip take when then speed of the boat is 18 miles per hour? Round to the nearest tenth minute.
Mathematics
1 answer:
Neporo4naja [7]3 years ago
3 0

Answer:

17.3

Step-by-step explanation:

(2+18)=(20mph*2miles)=6 minute

(18-2)=16mph*3miles=11.25

17.25

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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

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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

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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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3 years ago
Which of these systems has one unique solution?
Shtirlitz [24]

Answer:

D

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A,B,and C can not solve. because they have wrong answers.

6 0
4 years ago
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olasank [31]
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In order to find out the volume of any prism, you are to do length x width x height.

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In order to find the height, we must find a number that, when multiplied by 15, equals 45. 

So we can try out 3, which when multiplied by 15, equals 45. 

That means 3 is your height.

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Can someone tell me what 8 x 1 1/2 equals
Lady_Fox [76]
8 x 1 = 8
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therefore, 8 x 1 1/2 = 12
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