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3 years ago

8

A cylinder has a height of 18 millimeters and a radius of 18 millimeters. What is its volume? Use ≈ 3.14 and round your answer

to the nearest hundredth.

1 answer:

solong [7]3 years ago

8 0

Answer:

$Volume = 18312.48$

Step-by-step explanation:

Given

$Height (h) = 18mm$

$Radius (r) = 18mm$

Required

Determine the volume

The volume of a cylinder is calculated as thus:

$Volume = \pi r^2h$

Substitute values for r and h

$Volume = 3.14 * 18^2 * 18$

$Volume = 18312.48$

<em>Hence, the volume of the cylinder is 18312.48mm³</em>

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Answer:

The first step is

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Step-by-step explanation:

we have

$x^{2} =\frac{9}{16}$

Solve for x

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Answer:

There is a 50.77% probability that no more than one of those chosen is not employed.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they will be employed, or they will not. So we use the binomial probability distribution 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.

We have these following percentages:

55% of the individuals are female.

So 45% of the individuals are male.

80% of males are employed. So 20% of males are unemployed.

60% of females are employed. So 40% of females are unemployed.

If I pick five persons at random from this population, what is the probability that no more than one of those chosen is not employed?

Using the binomial distribution, p is the probability that a person is unemployed. 40% of the females and 20% of the males are unemployed. The population is 55% females and 45% males. So

$p = 0.4*0.55 + 0.2*0.45 = 0.31$

There are five persons, so $n = 5$

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$P(X \leq 1) = P(X = 0) + P(X = 1)$

In which

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

$P(X = 0) = C_{5,0}.(0.31)^{0}.(0.69)^{5} = 0.1564$

$P(X = 1) = C_{5,1}.(0.31)^{1}.(0.69)^{4} = 0.3513$

Then

$P(X \leq 1) = P(X = 0) + P(X = 1) = 0.1564 + 0.3513 = 0.5077$

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Answer:

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Step-by-step explanation:

Given :

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Since we are given that teacher has 30 students .

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