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2 years ago

Need help with question

Mathematics

1 answer:

Vlad [161]2 years ago

5 0

Your answer is gonna be the second one!

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Find the value of x that makes m ∥ n.

arsen [322]

Answer:

x = 40

Step-by-step explanation:

In order for m and n to be parallel, the corresponding angles need to be equal. Therefore we get the equation:

3x = 120

Divide both sides by 3 to get:

x = 40

6 0

3 years ago

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

5 times a number increased by 2 is the same as 8 more than 3 times the number. Find the number

wariber [46]

Answer:

5 times a number increased by 2 is the same as 8 more than 3 times the number.

Step-by-step explanation:

8 0

2 years ago

Look at the graph below.

romanna [79]

Where is the graph? Because it would be a lot easier to answer this if you could show a picture of the graph

8 0

3 years ago

Read 2 more answers

(50 points) URGENT <br> Can someone help me with this problem?

34kurt

Answer:

bit.^{}ly/3a8Nt8n these are the answers

7 0

3 years ago