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2 years ago

The length of a rectangle is 3 times twice the width. The perimeter is 36. What are the side lengths?

Mathematics

1 answer:

Svetllana [295]2 years ago

8 0

Answer & Explanation:

For this question, you need to figure out the length and the width because the area is directly related to them (A = l*w).

What we do know is that the perimeter is 36 inches. Since the perimeter is equal to P = 2l + 2w, we can say:

P = 36 = 2(3 + 2w) + 2(w), where the length l is 3 + 2w

Solve for w first, then solve for l. Use these values to find the area.

Pls, choose me as brainliest!

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In a random sample of 30 people who rode a roller coaster one day, the mean wait time is 46.7 minutes with a standard deviation

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Answer: C. $(29,\ 37.8)$

Step-by-step explanation:

The confidence interval for difference of two population mean is given by :-

$\overline{x}_1-\overline{x}_2\pm z_{\alpha/2}\sqrt{\dfrac{s_1^2}{n_1}+\dfrac{s_2^2}{n_2}}$

Given : Level of significance : $1-\alpha:0.99$

Then , significance level : $\alpha: 1-0.99=0.01$

Critical value : $z_{\alpha/2}=z_{0.005}=2.576$

$n_1=30\ ;\ n_2=50\\\\\overline{x}_1=46.7\ ;\ \overline{x}_2=13.3\\\\s_1=9.2\ ;\ s_2=1.9$

$46.7-13.3\pm(2.576)\sqrt{\dfrac{9.2^2}{30}+\dfrac{1.9^2}{50}}\approx33.4\pm4.38=(29.02\ ,37.78)\approx(29,\ 37.8)$

Hence, a 99% confidence interval for the difference between the mean wait times of everyone who rode both rides $(29,\ 37.8)$

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