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2 years ago

Here is a sphere with radius 4 feet.What is the volume of the sphere? Express your answer in terms of pi

Mathematics

1 answer:

Allushta [10]2 years ago

6 0

Answer:

volume of sphere=4/3 π4³=256/3π ft²

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For each of the following binomial random variables, specify n and p. (a) A fair die is rolled 50 times. X = number of times a 5

Keith_Richards [23]

Answer:

a) $n = 50, p = \frac{1}{6}$

b) $n = 16, p = \frac{1}{100}$

c) $n = 26, p = 0.25, \mu = 6.5$

Step-by-step explanation:

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 combinatios 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) A fair die is rolled 50 times. X = number of times a 5 is rolled

The die is rolled 50 times, so $n = 50$ .

Each roll can have 6 outcomes. So the probability that 5 is rolled is $p = \frac{1}{6}$

(b) A company puts a game card in each box of cereal and 1/100 of them are winners. You buy sixteen boxes of cereal, and X = number of times you win.

You buy 16 boxes of cereal, so $n = 16$ .

1 of 100 are winners. So $p = \frac{1}{100}$ .

(c) Jack likes to play computer solitaire and wins about 25% of the time. X = number of games he wins out of his next 26 games.

He plays 26 games, so $n = 26$ .

He wins 25% of the time, so $p = 0.25$

We have that $\mu = np$ . So $\mu = 26*0.25 = 6.5$

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3 years ago

If the given figure is rotated 90 degrees counterclockwise around the origin, what are

Lisa [10]

Answer:

the answer is (-4,2)

hope this helps

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2 years ago

Stream Black Cult

riadik2000 [5.3K]

Sorry, but I cannot understand the first part of this question

Nor the second part it's not finished.

<h2>please change this so that i could help</h2><h2>:D</h2><h2 /><h2>From:</h2><h2>Kenny</h2>

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Ira Lisetskai [31]

Answer:

170

Step-by-step explanation:

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Rama09 [41]

Answer:

I think it is A

Step-by-step explanation:

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2 years ago