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DedPeter [7]
3 years ago
9

Plz helppppppppppppppppppppppppppp

Mathematics
1 answer:
Zolol [24]3 years ago
3 0
I think the answer is b
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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
Complete the steps to identify all potential rational roots of f(x) = 3x2 – x – 4.
Ymorist [56]
-4,. 3

or. ±4/1,. ±2/1,. ±1/1,. ±4/3,. ±2/3,. ±1/3,.
4 0
3 years ago
Read 2 more answers
PLEASEE HELPP IM SO STUPID IDK HOW TO SOLVE THIS ILL GIVE U POINTD AND BRAINLIEST PLEASEEEEEE
scZoUnD [109]

Answer:

3 gallons I am in math club believe it or not

6 0
3 years ago
Math help please show work
saw5 [17]

Answer:

You can measure the area of the yard but measuring the length and width and then multiplying. Then you can divide by the amount of sod that is used to cover to see how many bags that need to be bought.

Step-by-step explanation:

This should be good :)

pls mark brainliest:)

3 0
3 years ago
Anna and Veronica are on the opposite sides of a tower of 160 meters height. They measure the angle of elevation of the top of t
MAXImum [283]

Answer: The distance between the girls is 362.8 meters.

Step-by-step explanation:

So we have two triangle rectangles that have a cathetus in common, with a length of 160 meters.

The adjacent angle to this cathetus is 40° for Anna, then the opposite cathetus (the distance between Anna and the tower) can be obtained with the relationship:

Tan(A) = opposite cath/adjacent cath.

Tan(40°) = X/160m

Tan(40°)*160m = 134.3 m

Now, we can do the same thing for Veronica, but in this case the angle adjacent to the tower is 55°

So we have:

Tan(55°) = X/160m

Tan(55°)*160m = X = 228.5 m

And we know that the girls are in opposite sides of the tower, so the distance between the girls is equal to the sum of the distance between each girl and the tower, then the distance between the girls is:

Dist = 228.5m + 134.3m = 362.8m

8 0
3 years ago
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