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3 years ago

The length of a rectangle is 3 times the width if the area is 147 what is the perminer

1 answer:

7 0

Formula for are of a rectangle:
   A =L * W
1st isolate W
147 = 3W * W
147 = 3W^2
divide 147 by the by 3 on bot sides
  29 = W^2
get ride of the square by square rooting on both sides
   7 = W

2nd find the perimeter
P = 2(7) + 2(21)
  P = 14 + 42
P = 56

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Answer:

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3 years ago

A recent survey of 50 executives who were laid off during a recent recession revealed it took a mean of 26 weeks for them to fin

g100num [7]

Answer: $(24.28,\ 27.72)$

Step-by-step explanation:

Given : Sample size : $n=50$

Sample mean : $\overline{x}=26$

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Significance level : $\alpha=1-0.95=0.05$

Critical value : $z_{\alpha/2}=1.96$

Formula to find the confidence interval for population mean :-

$\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}\\\\=26\pm(1.96)\dfrac{6.2}{\sqrt{50}}\\\\\approx26\pm1.72\\\\=(26-1.72,\ 26+1.72)\\\\=(24.28,\ 27.72)$

Hence, a 95% confidence interval for the population mean = $(24.28,\ 27.72)$

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3 years ago