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Svetach [21]
3 years ago
10

A sphere and a cone have the same volume each figure has a radius of 3 inches what is the height of the cone

Mathematics
1 answer:
dem82 [27]3 years ago
4 0
Volume of the sphere = 4/3πr³
Volume of the sphere = 4/3 (π) (3)³
Volume of the sphere = 36π

Volume of the sphere = Volume of the cone

36π = 1/3π(3)²h
36π = 3πh
h = 36π ÷ 3π
h = 12

----------------------------------------------------------
Answer: The height is 12 inches.
----------------------------------------------------------

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A newsgroup is interested in constructing a 90% confidence interval for the proportion of all Americans who are in favor of a ne
Leto [7]

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The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

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This means that n = 533, \pi = \frac{351}{533} = 0.6585

90% confidence level

So \alpha = 0.1, z is the value of Z that has a p-value of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

The lower limit of this interval is:

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The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6585 + 1.645\sqrt{\frac{0.6585*0.3415}{533}} = 0.6923

The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).

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3 years ago
What is the sum of the of the infinite geometric series 0.7+0.07+0.007+...?
andrew11 [14]

Answer:

a

Step-by-step explanation:

hope it works out for you

please mark brainiest

7 0
2 years ago
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