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shutvik [7]
3 years ago
11

What is the volume of a sphere with a radius of 3 inches?

Mathematics
2 answers:
Contact [7]3 years ago
4 0

Answer:

36


Step-by-step explanation:


Nezavi [6.7K]3 years ago
4 0

Answer: The answer is (C) 36π cubic inches.

Step-by-step explanation: We are given to find the volume of a sphere with radius 3 inches.

We know that the volume of a sphere with radius 'r' units is given by

V=\dfrac{4}{3}\pi r^3.

Here, we have,

radius, r = 3 inches.

Therefore, the volume of the sphere is given by

V\\\\=\dfrac{4}{3}\pi r^3\\\\=\dfrac{4}{3}\pi \times 3^3\\\\=\dfrac{4}{3}\pi \times 27\\\\=36\pi~\textup{cubic inches}.

Thus, (C) is the correct option.

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A random sample of 200 people was taken. 90 of the people in the sample favored Candidate A. We are interested in determining wh
mafiozo [28]

Answer:

a. 1.44

Step-by-step explanation:

We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 40%.

At the null hypothesis, it is tested if the proportion is of at most 40%, that is:

H_0: p \leq 0.4

At the alternative hypothesis, it is tested if the proportion is of more than 40%, that is:

H_1: p > 0.4

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.4 is tested at the null hypothesis:

This means that p = 0.4, \sigma = \sqrt{0.4*0.6}

A random sample of 200 people was taken. 90 of the people in the sample favored Candidate A.

This means that:

n = 200, X = \frac{90}{200} = 0.45

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.45 - 0.4}{\frac{\sqrt{0.4*0.6}}{\sqrt{200}}}

z = 1.44

Thus the correct answer is given by option a.

8 0
3 years ago
Miko’s restaurant bill was $16. She used the expression 1.18(16) to find the total cost including an 18% tip.
Lena [83]

The answer is (1+0.18)16.

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3 years ago
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X squared plus 8X +12
Xelga [282]

Answer:

(x+2)(x+6)

Step-by-step explanation:

x2 + 8x +12

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x              6

5 0
3 years ago
How many terms in 2-8+22<br> A. 1<br> B. 2<br> C. 3<br> D. 26
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Answer:

6 is the answer.

is it right

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How can the word "LEO MESSI" be arranged so that the vowels do not stay together?
Bas_tet [7]

Answer:

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Step-by-step explanation:

Hope it helps

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2 years ago
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