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Ratling [72]
3 years ago
15

The area of a rectangle is x² + 3x – 28 and the width is x + 7. What is the length of the

Mathematics
1 answer:
g100num [7]3 years ago
6 0

Answer:

X+4

Step-by-step explanation:

length times width = area

(X+7)(X-4) = x^2 +3x-28

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Find the sum of 7.7, 0.94, and 13
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3 years ago
A quality-conscious disk manufacturer wishes to know the fraction of disks his company makes which are defective. Step 2 of 2: S
Anna35 [415]

Answer:

The 98% confidence interval for the population proportion of disks which are defective is (0.082, 0.118).

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}.

Suppose a sample of 1536 floppy disks is drawn. Of these disks, 1383 were not defective.

1536 - 1383 = 153

This means that n = 1536, \pi = \frac{153}{1536} = 0.1

98% confidence level

So \alpha = 0.02, z is the value of Z that has a pvalue of 1 - \frac{0.02}{2} = 0.99, so Z = 2.327.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1 - 2.327\sqrt{\frac{0.1*0.9}{1536}} = 0.082

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1 + 2.327\sqrt{\frac{0.1*0.9}{1536}} = 0.118

The 98% confidence interval for the population proportion of disks which are defective is (0.082, 0.118).

6 0
3 years ago
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