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Daniel [21]
3 years ago
10

The diameter of a planet is about 1420 mi. Find the volume of the planet. Round to the nearest thousand cubic miles. Use 3.14 fo

r pi.
Mathematics
1 answer:
Ainat [17]3 years ago
8 0

Answer:

1,498,454,000 sq. miles

Step-by-step explanation:

Volume of a sphere = 4/3 (3.14) r^3

So since the diameter is 1420 miles, the radius would be half.

V = 4/3 x (3.14) x 710^3

V=4.18666667 x 357,911,000

V = 1,498,454,054.5 but if you want it rounded to the nearest thousand then it'd be 1,498,454,000.

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Step-by-step explanation:

D because -2.3 is the number between -2 and -3 but it's not more than -2.5 (half point of -2and -3).

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3 years ago
1/5 divided 3=1/15 because
Keith_Richards [23]
A number being divided by a number would be the same as a number multiplied by the reciprocal of the other number.

Reciprocal: the “flip” of a fraction (ex. the reciprocal of 6/7 is 7/6)

Example:
5/6 / 1/6
= 5/6*6/1
=30/6
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We can apply the same to the question 1/5 / 3.

1/5 / 3
=1/5*1/3
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I hope this helps! Please comment if you have any questions.
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3 years ago
3X -7 =44 solve for X
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Answer:

17

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2 years ago
A survey reported that 5% of Americans are afraid of being alone in a house at night. If a random sample of 20 Americans is sele
liq [111]

Answer:

5.96% probability that exactly 3 people in the sample are afraid of being alone at night.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are afraid of being alone at night, or they are not. The probability of a person being afraid of being alone at night is independent of any other person. 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.

5% of Americans are afraid of being alone in a house at night.

This means that p = 0.05

If a random sample of 20 Americans is selected, what is the probability that exactly 3 people in the sample are afraid of being alone at night.

This is P(X = 3) when n = 20. So

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

P(X = 3) = C_{20,3}.(0.05)^{3}.(0.95)^{17} = 0.0596

5.96% probability that exactly 3 people in the sample are afraid of being alone at night.

5 0
3 years ago
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