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murzikaleks [220]
2 years ago
11

sphere a has radius 4 and a hemisphere b has a radius 8. fin the ratio of the volume of A to the volume of b

Mathematics
1 answer:
salantis [7]2 years ago
4 0

Answer:

A/B = 0.125

Step-by-step explanation:

Givens

r for Sphere A = 4

r for Sphere B = 8

Solution

Volume A = 4/3 pi r^3

r = 4

Volume A = 4/3 pi 4^3

Volume A = 4/3 pi 64

Note: there is no point in expanding the result. 4/3 and pi are going to cancel out when you set up the volume formula

Volume B = 4/3 pi * r^3

r = 8

Volume B = 4/3 pi * 8^3

Volume B = 4/3 pi * 512

Ratio A to B = 4/3 pi * 64 / 4/3 * pi * 512        Cancel 4/3 pi

Ratio A to B = 64/512

Ratio A to B = 1/8

Ratio A to B = 0.125

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The confidence interval for the mean usage of water is (18.7,20.5).

Given population standard deviation of 2.4, mean of 19.5 gallons per day and confidence interval of 98%.

We have to find the confidence interval for the mean usage of water.

To find out the confidence interval we have to first find margin of error.

μ=19.5

σ=2.4

α=0.98

α/2=0.49

We have to find the z value for the p value 0.49 which is z=2.33

Margin of error=z*μ/\sqrt{n}

=2.33*19.5/\sqrt{3034}

=0.82

lower level=mean -m

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after rounding upto 1 decimal

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upper mean = mean+m

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=20.52

Hence the confidence interval for the usage of water is (18.7,20.52).

Learn more about margin of error at brainly.com/question/10218601

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2 years ago
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Good luck, I am not sure how to solve the next part of the question

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2 years ago
Whats the surface area of the prism below,and please explain how you got the answer :)
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IN DEPTH EXPLANATION TO HELP YOU FOR FUTURE PROBLEMS:

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3 years ago
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7 0
2 years ago
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3. A man needed money for college. He borrowed $6,000 at 14% simple interest per year. If he paid $420 interest, what was the du
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Answer: half year

Step-by-step explanation:

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Then, we have the following equation :-

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It means the duration of the loan is half year .

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3 years ago
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