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DanielleElmas [232]
3 years ago
9

A. 38 > 2(x + 8) How do I solve for inequalities?

Mathematics
2 answers:
8090 [49]3 years ago
7 0

38 > 2(x + 8)

38 > 2x + 16

22 > 2x

11 > x

kondaur [170]3 years ago
6 0

Answer:

11 > x or x < 11

Step-by-step explanation:

38 > 2(x + 8)

38 > 2x + 16

22 > 2x

11 > x

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Answer: (0.120,0.160)

Step-by-step explanation:

Given : Sample size : n=815

Number of disks were not defective =701

Then , the number of disks which are defective = 815-701=114

Now, the proportion of disks which are defective : p=\dfrac{114}{815}\approx0.14

Significance level : \alpha: 1-0.9=0.1

Critical value : z_{\alpha/2}=1.645

The confidence interval for population proportion is given by :-

p\pm\ z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}\\\\=0.14\pm(1.645)\sqrt{\dfrac{(0.14)(1-0.14)}{815}}\\\\\approx0.14\pm0.020=(0.14-0.020,0.14+0.020)=(0.120,0.160)

Hence, the 90% confidence interval for the population proportion of disks which are defective = (0.120,0.160)

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3 years ago
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