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Naddika [18.5K]
3 years ago
9

The length of a rectangle is 1 units more than the width. The area of the rectangle is 56 units. What is the length, in units, o

f the rectangle?
Mathematics
1 answer:
Alexus [3.1K]3 years ago
5 0

Answer:

8

Step-by-step explanation:

Width is x.

Length is (x + 1).

Area = length*width

56 = x(x+1)

x² + x - 56 = 0

(x+8)(x-7)=0

x = - 8, or x = 7

"- 8" is impossible for width.

So, width x = 7

Length = (x+1) = 7+1 = 8

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<u>Supposing 60 out of 100 scores are passing scores</u>, the 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).

  • The lower limit is 0.5.
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In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of \alpha, we have the following confidence interval of proportions.

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The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 - 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.5

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 + 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.7

The 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).

  • The lower limit is 0.5.
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A similar problem is given at brainly.com/question/16807970

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