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Firdavs [7]
3 years ago
9

An industrial factory makes 2 3/8 yards of rope every minute. The cost of each yard is $4.06. What is the total cost of rope tha

t can be made in 15 minutes?
A. $36.63
B. $60.90
C. $21.44
D. $144.64
Mathematics
1 answer:
kifflom [539]3 years ago
5 0
I think here the answer is D
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A computer manufacturing company has sent a mail survey to 2,800 of its randomly selected customers that have purchased a new la
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Answer:

The 96% confidence interval for the population proportion of customers satisfied with their new computer is (0.77, 0.83).

Step-by-step explanation:

We have to calculate a 96% confidence interval for the proportion.

We consider the sample size to be the customers that responded the survey (n=800), as we can not assume the answer for the ones that did not answer.

The sample proportion is p=0.8.

p=X/n=640/800=0.8

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.8*0.2}{800}}\\\\\\ \sigma_p=\sqrt{0.0002}=0.014

The critical z-value for a 96% confidence interval is z=2.054.

The margin of error (MOE) can be calculated as:

MOE=z\cdot \sigma_p=2.054 \cdot 0.014=0.03

Then, the lower and upper bounds of the confidence interval are:

LL=p-z \cdot \sigma_p = 0.8-0.03=0.77\\\\UL=p+z \cdot \sigma_p = 0.8+0.03=0.83

The 96% confidence interval for the population proportion is (0.77, 0.83).

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Answer:

6/100 +94/100

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3+47/50

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