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jolli1 [7]
3 years ago
7

!!!!!!!!!!!!!!!!!!!!!!! 25 PTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
2 answers:
Elena-2011 [213]3 years ago
5 0

Answer:

volume of the rectangular prism will increase by a factor of 64.

Step-by-step explanation:

The surface area of a rectangular prism is increase by a factor of 16.

We know surface area is calculated by multiplication of 2 dimensions.

A ∝ length²

√A ∝ length

Therefore, increase in length of the sides will be = √16 = 4

Now we know volume is a unit in which 3 dimensions are multiplied ( length × width × height )

If Increase in length of sides is 4 times then volume will increase by 4³

V ∝ length³

V ∝ (4 × length)³ = 64 × (length)³

Therefore, volume of the rectangular prism will increase by a factor of 64.

sasho [114]3 years ago
3 0

Answer:

D. 64

Step-by-step explanation:

got it right on edg

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(-4, -1)

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In a study, 43% of adults questioned reported that their health was excellent. A researcher wishes to study the health of people
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13.44% probabilith that at most 3 are in excellent health.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they are in excellent health, or they are not. The probability of an adult being in excellent health is independent of other adults. 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.

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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.

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This means that n = 13

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P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

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13.44% probabilith that at most 3 are in excellent health.

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3 years ago
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