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Ivan
3 years ago
15

What is the volume of the rectangular prism? A prism has a length of 8 inches, width of 2 inches, and height of 12 and one-half

inches. 16 in.3 22 and one-half in.3 200 in.3 212 and one-half in.3 HELP PLS THIS IS TIMED
Mathematics
2 answers:
xenn [34]3 years ago
3 0

Answer:

200 in3

Step-by-step explanation:

To find the volume of a rectangular prism you multiply each dimension to each other. 8*2 is 16, and 16*12.5 is 200. This means the volume is 200 in3.

Hope this helps :)

Stella [2.4K]3 years ago
3 0

Answer:

200

Step-by-step explanation:

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A graduate class consists of six students. What is the probability that at least 5 of them are born either in April or in Octobe
nlexa [21]

Answer:

0.0671% probability that at least 5 of them are born either in April or in October

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they were born in April or October, or they were not. The probabilty of a student being born in April or October is independent of other students. 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.

Probability of a student being born in April or October

April has 30 days, October 31

The year has 365 days. So

p = \frac{61}{365} = 0.167

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This means that n = 6

What is the probability that at least 5 of them are born either in April or in October?

P(X \geq 5) = P(X = 5) + P(X = 6)

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

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