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VladimirAG [237]
2 years ago
6

Helpp I'm struggling​

Mathematics
1 answer:
Alona [7]2 years ago
7 0

Answer:

The surface area is 198.75\ ft^2

Step-by-step explanation:

<u>Step 1:  Determine the area of the bottom</u>

A = s^2

A = (7.5\ ft)^2

A = 56.25\ ft^2

<u>Step 2:  Determine the area of the triangles</u>

A = \frac{h * b}{2}

A = \frac{9.5\ ft * \frac{7.5\ ft}{2}}{2}

A=\frac{9.5\ ft*3.75\ ft}{2}

A = 17.8125\ ft^2

There are two of these right triangles on every side which means that we have 8 of these triangles so we multiply the area that we got by 8.

A = 17.8125\ ft^2 * 8

A=142.5\ ft^2

<u>Step 3:  Combine the area to get the surface area</u>

A_{total}=56.25\ ft^2+142.5\ ft^2

A_{total}=198.75\ ft^2

Answer: The surface area is 198.75\ ft^2

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What is the volume (in cubic units) of a sphere with a radius of 6 units? Assume that π = 3.14 and round your answer to the near
abruzzese [7]

Answer: 904.32  cubic units.

Step-by-step explanation:

The formula for a sphere's volume is V = V = \frac{4}{3}\pi r^{3} \\

Substitute pi for 3.14 and radius for 6. 6^3 = 216

\\V = \frac{4}{3}\ (3.14)( 216) \\\\

Multiply them together, the answer is 904.32  cubic units.

8 0
3 years ago
In a certain section of Southern California, the distribution of monthly rent for a one-bedroom apartment has a mean of $2,275 a
KATRIN_1 [288]

Answer:

100% probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,095 per month

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 estabilishes 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 $2,275 and a standard deviation of $290.

This means that \mu = 2275, \sigma = 290

Sample of 65:

This means that n = 65, s = \frac{290}{\sqrt{65}}

Finding the mean to be at least $2,095 per month

This is 1 subtracted by the p-value of Z when X = 2095. So

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

By the Central Limit Theorem

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

Z = \frac{2095 - 2275}{\frac{290}{\sqrt{65}}}

Z = -5

Z = -5 has a p-value of 0.

1 - 0 = 1

100% probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,095 per month

7 0
3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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faltersainse [42]

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\frac{a}{1}= a

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I hope I helped you!

4 0
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Answer:

C. Multiply 3 by 18

Step-by-step explanation:

Further explanation

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