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Alex777 [14]
3 years ago
14

The length of the rectangle is three more than the width find the length of the rectangle if the perimeter is 98 inches

Mathematics
1 answer:
Aleks [24]3 years ago
5 0

Answer:

length is 26 and width is 23

Step-by-step explanation:

let width be x

then length is 3+x since it is 3 more than the width

perimeter of a rectangle = 2l + 2w

98=2 [3+x] + 2x

98=6+2x+2x

98=6+4x

98-6=4x

92=4x

x=23

width is 23 and

breadth is 26

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4 years ago
A Gallup Poll in July 2015 found that 26% of the 675 coffee drinkers in the sample said they were addicted to coffee. Gallup ann
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Answer:

The 95% confidence interval for the percent of all coffee drinkers who would say they are addicted to coffee is between 21% and 31%.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

A confidence interval has two bounds, the lower and the upper

Lower bound:

\pi - M

Upper bound:

\pi + M

In this problem, we have that:

\pi = 0.26, M = 0.05

Lower bound:

\pi - M = 0.26 - 0.05 = 0.21

Upper bound:

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The 95% confidence interval for the percent of all coffee drinkers who would say they are addicted to coffee is between 21% and 31%.

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