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Darina [25.2K]
3 years ago
12

PLEASE HELP HELP ASAP

Mathematics
2 answers:
Marizza181 [45]3 years ago
6 0

Answer:

the height of the cylinder is 40 meters

Step-by-step explanation:

Use the formula they give you for the volume, and the fact that it has to equal 1000 \pi cubic meters. Recall also that the cylinder's radius is 5 meters:

Vol=\pi\,R^2\,h\\1000\,\pi= \pi\,(5)^2 \,h\\1000\,pi=\,\pi\,25\,\,h\\h=1000\,\pi/(25\,\pi)\\h=40 \,\,m

Anit [1.1K]3 years ago
3 0

Answer:

12.7311111111111 on and on

Step-by-step explanation:

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A football team has a probability of .75 of winning when playing any of the other four teams in its conference. If the games are
Alexeev081 [22]

Answer:

0.3164 = 31.64% probability the team wins all its conference games

Step-by-step explanation:

For each conference game, there are only two possible outcomes. Either the team wins it, or they lose. The probability of winning a game is independent of any other game. This means that 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.

A football team has a probability of .75 of winning when playing any of the other four teams in its conference.

The probability means that p = 0.75, and four games means that n = 4

If the games are independent, what is the probability the team wins all its conference games?

This is P(X = 4). So

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

P(X = 4) = C_{4,4}.(0.75)^{4}.(0.25)^{0} = 0.3164

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