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RSB [31]
3 years ago
15

The height of a cylinder is twice the radius of its base.

Mathematics
1 answer:
Ber [7]3 years ago
6 0

Let x represent radius of circle.

We have been given that the height of a cylinder is twice the radius of its base. So height of cylinder would be 2x.

Now we will use volume of cylinder formula to our given problem.

V=\pi r^2h, where,

r = Radius of base of cylinder,

h = Height of cylinder.

Upon substituting our given values, we will get:

V=\pi\cdot x^2\cdot 2x

V=2x^3\pi

Therefore, our required volume expression would be 2x^3\pi.

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Step-by-step explanation:

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What is meant by the term financial planning?
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How many servings in 3/4 of a cookie when each serving is 1/2 cookie
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3 0
3 years ago
The Census Bureau's Current Population Survey shows that 28% of individuals, ages 25 and older, have completed four years of col
gizmo_the_mogwai [7]

Answer:

19.35% probability that five will have completed four years of college

Step-by-step explanation:

For each individual chosen, there are only two possible outcomes. Either they have completed fourr years of college, or they have not. The probability of an adult completing four years of college is independent of any other adult. So the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

28% of individuals

This means that p = 0.25

For a sample of 15 individuals, ages 25 and older, what is the probability that five will have completed four years of college?

This is P(X = 5) when n = 15. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 5) = C_{15,5}.(0.28)^{5}.(0.72)^{10} = 0.1935

19.35% probability that five will have completed four years of college

5 0
3 years ago
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