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2 years ago

The height of tower a is 802 feet more than tower

Mathematics

1 answer:

igomit [66]2 years ago

5 0

The height of tower A is 1016 feet and tower B is 212 feet.

<u><em>Explanation</em></u>

Suppose , the height of tower B is $h$ feet.

As the height of tower A is 802 feet more than tower B , so the height of tower B will be : $(h+802) feet$

Given that, the two towers have a combined height of 1226 feet.

So, the equation will be...

$h+(h+802)=1226\\ \\ 2h=1226-802\\ \\ 2h=424\\ \\ h= \frac{424}{2}=212$

Thus, the height of tower B is 212 feet and height of tower A is (212+802) feet = 1016 feet.

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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.

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