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3 years ago

6

the width of a rectangle is 5 meters less than the length. If the perimeter of the rectangle is 80 meters, what are the length a

nd width

1 answer:

emmasim [6.3K]3 years ago

5 0

The formula for perimeter is 2l+2w. Since we know that l=w-5, we can substitute this into the original equation.

2(w-5)+2w=80

2w-10+2w=80

4w=90

w=22.5 meters

Hope that helps!

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Answer:

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Step-by-step explanation:

Data given and notation

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$\mu_o =4.73$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

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State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean differs from 4.73, the system of hypothesis would be:

Null hypothesis: $\mu =4.73$

Alternative hypothesis: $\mu \neq 4.73$

Since we know don't the population deviation, is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

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t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

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We can replace in formula (1) the info given like this:

$t=\frac{5.25-4.73}{\frac{3.98}{\sqrt{54}}}=0.9601$

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First we find the degrees of freedom given by:

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Since is a two-sided test the p value would be:

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