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Vlad [161]
3 years ago
7

I need help with this question

Mathematics
1 answer:
Artemon [7]3 years ago
6 0
8x+5xsquared+3
tucjvkbhlnhgjfcdxfchvjgbkhnjlhkgfdgchgvhb
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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
If y = 4x + 0.5, find y when x =1.5
inn [45]

Answer:

= 6.5

Step-by-step explanation:

You have to plug in 1.5 for x

->

4(1.5) + 0.5 = 6.5

8 0
2 years ago
How to expand and simplify this equation 7(2a+3)+3(4a-2).
Pavel [41]
Ok, so first we distribute, you multiply the seven into everything in the parentheses next to it. So far we have, 14a+21+3(4a-2). You distribute the three into the parentheses to get, 14a+21+12a-6. You combine the like terms to get, 26a-15. You cannot simplify it any further so the answer is 26a-15.
8 0
2 years ago
Read 2 more answers
Type SSS, SAS, ASA, SAA, or HL to<br> describe these triangles.
Bingel [31]

Answer:

SAS

Step-by-step explanation:

There is one common side (S)

both the triangles have 90° common (A)

Opposite sides are equal which is given (S)

They both are right angled triangles

5 0
2 years ago
Are these proportional?
Fudgin [204]

Answer:

1. yes 2. no

Step-by-step explanation:


7 0
3 years ago
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