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Mice21 [21]
2 years ago
14

Please help!! 20 points

Mathematics
1 answer:
Vikki [24]2 years ago
3 0

Answer:

Step-by-step explanation:

Just Trying to get points

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The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day.
valina [46]

Answer:

A sample of 179 is needed.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.85}{2} = 0.075

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.075 = 0.925, so Z = 1.44.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

A previous study found that for an average family the variance is 1.69 gallon?

This means that \sigma = \sqrt{1.69} = 1.3

If they are using a 85% level of confidence, how large of a sample is required to estimate the mean usage of water?

A sample of n is needed, and n is found for M = 0.14. So

M = z\frac{\sigma}{\sqrt{n}}

0.14 = 1.44\frac{1.3}{\sqrt{n}}

0.14\sqrt{n} = 1.44*1.3

\sqrt{n} = \frac{1.44*1.3}{0.14}

(\sqrt{n})^2 = (\frac{1.44*1.3}{0.14})^2

n = 178.8

Rounding up

A sample of 179 is needed.

7 0
3 years ago
Lance has 1/2 of a pack of pencils in his desk and 1/3 of a pack of pencils in his backpack. How many packs of pencils does he h
slega [8]

Answer:

5/6 because 1/2 plus 1/3 is 5/6, meaning that B is the correct answer.

Hope this helps!

5 0
2 years ago
Read 2 more answers
Korie randomly selects a number from the numbers shown below. 54, 60, 11, 0, 5, 7, 20 What is the probability that the number sh
grandymaker [24]

Answer:

there is a greater chance that she selects a even number because there are 4 even numbers and 3 odd numbers

8 0
3 years ago
Please answer Fast!!!! I will award 100 points for correct answer
Tasya [4]

Answer:

52

Step-by-step explanation:

56+(x+72) =180

180 because it is supplementary

8 0
2 years ago
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Tom read 20 books, 12 magazines, and 18 newspaper articles last year.
neonofarm [45]

Answer: 24% of the books read are magazine

Step-by-step explanation:sum of the books read is 20+12+18=50 books.

Therefore 12 of the books are magazine.

Then, 12 of 50 =24%( 12÷50)× 100/1 = 24%

8 0
3 years ago
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