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8_murik_8 [283]
3 years ago
12

The radius of a sphere is 3 inches. Which represents the volume of the sphere?

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
5 0

Answer: A.

Step-by-step explanation: The formula for the volume of a sphere is 4/3 x pi x radius cubed. The final answer is approx 121.1, which rounds down to 121. Brainliest plz

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A rectangular room has a perimeter of 70m and is 20m long write an equation to represent the area
sveta [45]
Do you have any answer choices 
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3 years ago
The mean height of women in a country (ages 20-29) is 64 4 inches A random sample of 50 women in this age group is selected What
Simora [160]

Answer:

0.0721 = 7.21% probability that the mean height for the sample is greater than 65 inches.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 64.4 inches, standard deviation of 2.91

This means that \mu = 64.4, \sigma = 2.91

Sample of 50 women

This means that n = 50, s = \frac{2.91}{\sqrt{50}}

What is the probability that the mean height for the sample is greater than 65 inches?

This is 1 subtracted by the p-value of Z when X = 65. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{65 - 64.4}{\frac{2.91}{\sqrt{50}}}

Z = 1.46

Z = 1.46 has a p-value of 0.9279

1 - 0.9279 = 0.0721

0.0721 = 7.21% probability that the mean height for the sample is greater than 65 inches.

8 0
2 years ago
Guys that true?
Ilya [14]

Answer:

it's true for example 10/5=2 or 5/10=0.5

hope this helps

have a good day :)

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Find the missing side length SH.<br> Round answer to nearest tenth.
ikadub [295]
66 degrees divided by 2= 33 degrees
Then, 22/2=11
11/sin(33)= 20.2
7 0
3 years ago
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Ms. Hatcher bought the pencil decoration shown below for her bulletin board.
Gre4nikov [31]

Answer:

335.5 in^2

Step-by-step explanation:

The area is a rectangle and a triangle

The area of the rectangle is

A = a*b where a is 11 and b is 25

A = 11*25 =275

The area of the triangle is

A = 1/2 b*h  where b is 11 and h is 11

A = 1/2 (11) * 11

A = 60.5

The total area is 275+60.5=335.5

7 0
3 years ago
Read 2 more answers
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