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2 years ago

What is the rise of ramp if slope is 2% and run is 4 feet

Mathematics

1 answer:

azamat2 years ago

6 0

Answer:

.08 feet

Step-by-step explanation:

So slope=rise/run.

You are given slope is 2% or .02.

You are also given run is 4 ft.

Plug these into the formula

.02=rise/4

To solve this for rise multiply both sides by 4:

4(.02)=rise

.08=rise

The rise is .08 feet.

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a) $z = 1.645$

b) The should sample at least 293 small claims.

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:

$\alpha = \frac{1-0.9}{2} = 0.05$

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

So it is z with a pvalue of $1-0.05 = 0.95$ , so $z = 1.645$ , which means that the answer of question a is z = 1.645.

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.

(b) If the group wants their estimate to have a maximum error of $12, how many small claims should they sample?

They should sample at least n small claims, in which n is found when

$M = 12, \sigma = 124.88$ . So

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

$12 = 1.645*\frac{124.88}{\sqrt{n}}$

$12\sqrt{n} = 205.43$

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$n = 293$

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2 years ago