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melisa1 [442]
2 years ago
5

A farm has a small water tank with a diameter of 10 feet and a height of 4 feet. What is the lateral surface area of the water t

ank?
Math item stem image
CLEAR CHECK

40 square feet


125.6 square feet


251.2 square feet


282.6 square feet
Mathematics
1 answer:
dalvyx [7]2 years ago
3 0

Answer:40 square feet

Step-by-step explanation:4×10=40^2

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For a certain river, suppose the drought length Y is the number of consecutive time intervals in which the water supply remains
AnnZ [28]

Answer:

a) There is a 9% probability that a drought lasts exactly 3 intervals.

There is an 85.5% probability that a drought lasts at most 3 intervals.

b)There is a 14.5% probability that the length of a drought exceeds its mean value by at least one standard deviation

Step-by-step explanation:

The geometric distribution is the number of failures expected before you get a success in a series of Bernoulli trials.

It has the following probability density formula:

f(x) = (1-p)^{x}p

In which p is the probability of a success.

The mean of the geometric distribution is given by the following formula:

\mu = \frac{1-p}{p}

The standard deviation of the geometric distribution is given by the following formula:

\sigma = \sqrt{\frac{1-p}{p^{2}}

In this problem, we have that:

p = 0.383

So

\mu = \frac{1-p}{p} = \frac{1-0.383}{0.383} = 1.61

\sigma = \sqrt{\frac{1-p}{p^{2}}} = \sqrt{\frac{1-0.383}{(0.383)^{2}}} = 2.05

(a) What is the probability that a drought lasts exactly 3 intervals?

This is f(3)

f(x) = (1-p)^{x}p

f(3) = (1-0.383)^{3}*(0.383)

f(3) = 0.09

There is a 9% probability that a drought lasts exactly 3 intervals.

At most 3 intervals?

This is P = f(0) + f(1) + f(2) + f(3)

f(x) = (1-p)^{x}p

f(0) = (1-0.383)^{0}*(0.383) = 0.383

f(1) = (1-0.383)^{1}*(0.383) = 0.236

f(2) = (1-0.383)^{2}*(0.383) = 0.146

Previously in this exercise, we found that f(3) = 0.09

So

P = f(0) + f(1) + f(2) + f(3) = 0.383 + 0.236 + 0.146 + 0.09 = 0.855

There is an 85.5% probability that a drought lasts at most 3 intervals.

(b) What is the probability that the length of a drought exceeds its mean value by at least one standard deviation?

This is P(X \geq \mu+\sigma) = P(X \geq 1.61 + 2.05) = P(X \geq 3.66) = P(X \geq 4).

We are working with discrete data, so 3.66 is rounded up to 4.

Either a drought lasts at least four months, or it lasts at most thee. In a), we found that the probability that it lasts at most 3 months is 0.855. The sum of these probabilities is decimal 1. So:

P(X \leq 3) + P(X \geq 4) = 1

0.855 + P(X \geq 4) = 1

P(X \geq 4) = 0.145

There is a 14.5% probability that the length of a drought exceeds its mean value by at least one standard deviation

8 0
3 years ago
Help please I'ma giving alot of points if you say something else just to get the points I will report ​
jenyasd209 [6]

Answer:

Read the explanation

Step-by-step explanation:

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8 0
2 years ago
If C4=15 and C7=14, what is the result of the logical expression C4>C7 true or false
kvasek [131]
The answer is True because just plug in the numbers

C4=15 and C7=14

logical expression

C4>C7

15>14

That reads to 15 is greater than 14, which is true
3 0
2 years ago
Which statement best explains the importance of examining multiple perspectives about an event?
belka [17]

Answer:

It provides different and sometimes opposing viewpoints about an event.

3 0
2 years ago
A chef prepared five chocolate tortes for a dinner party. The guests consumed 2 5⁄16 tortes. How many tortes are left? A. 3 11⁄1
Alona [7]
The answer is Letter b

If you subtracted 5 with 2 5/16 you will get answer
5 0
3 years ago
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