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jenyasd209 [6]
3 years ago
12

A sphere has a radius of 3 and a different sphere has a radius of 6. Compare the ratio of the volume of the smaller sphere to th

e volume of the larger sphere
Mathematics
1 answer:
SSSSS [86.1K]3 years ago
5 0
Since we are dealing with a volume problem (3 dimensions) when you increase the radius by a factor of 2, you increase the volume by a factor of 2^3 or 8
So, the larger sphere has a volume 8 times greater than the smaller sphere.


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What is the circle's circumference? The diameter of a circle is 6 millimetres.
dolphi86 [110]

Answer:

C = 6pi or approximately 18.84 mm

Step-by-step explanation:

The circumference of a circle is

C = pi *d

C = pi *6

We can approximate pi by 3.14

C = 3.14*6

C =18.84

6 0
3 years ago
According to a 2018 survey by Bankrate, 20% of adults in the United States save nothing for retirement (CNBC website). Suppose t
nalin [4]

Answer:

0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they save nothing for retirement, or they save something. The probability of an adult saving nothing for retirement is independent of any other adult. 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.

20% of adults in the United States save nothing for retirement (CNBC website).

This means that p = 0.2

Suppose that sixteen adults in the United States are selected randomly.

This means that n = 16

What is the probability that three or less of the selected adults have saved nothing for retirement?

This is:

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

In which

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

P(X = 0) = C_{16,0}.(0.2)^{0}.(0.8)^{16} = 0.0281

P(X = 1) = C_{16,1}.(0.2)^{1}.(0.8)^{15} = 0.1126

P(X = 2) = C_{16,2}.(0.2)^{2}.(0.8)^{14} = 0.2111

P(X = 3) = C_{16,3}.(0.2)^{3}.(0.8)^{13} = 0.2463

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0281 + 0.1126 + 0.2111 + 0.2463 = 0.5981

0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement

4 0
2 years ago
PLS HELP FAST IM BEING TIMED!!!
Lina20 [59]

Answer:

C

Step-by-step explanation:

hope it helps

6 0
3 years ago
Read 2 more answers
Colin’s piano lesson is 45 minutes, or 3/4 of an hour, long. If he practices 6 different songs and spends an equal amount of tim
frosja888 [35]

Answer: \frac{1}{8} hour

Step-by-step explanation:

Given: The total time Collin spent on 6 songs =\frac{3}{4}\text{ hour}

Now, the fraction of an hour does he spend practicing each song is given by :-

\frac{\text{Total time taken}}{\text{Total songs}}=\frac{\frac{3}{4}}{6}=\frac{3}{4\times6}=\frac{1}{8}\text{hour}

The fraction of an hour does he spend practicing each song=\frac{1}{8}

5 0
3 years ago
Read 2 more answers
Sandy works at a clothing store. She makes $7 per hour plus earns 10% commission on her sales. She worked 72 hours over the last
MArishka [77]
7(72) + 0.10(2574) = 504 + 257.40 = 761.40 <== this is how much she will earn. Your gonna have to pick the answer choice that is the closest since no answer choices were given.
3 0
2 years ago
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