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Vinvika [58]
3 years ago
11

Each paper clip is 3/4 of an inch long and costs $.02. Exactly enough paper clips are laid end to end to have a total length of

36 inches. What is the total cost of these paper clips?
Mathematics
1 answer:
AlexFokin [52]3 years ago
3 0
So,
3/4=0.75
36/0.75=48
You need 48 paperclips to make it end to end.
The cost is:
48 x 0.02=0.96
The total cost is $0.96

Hope I helped!
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Answer:

D. 10

Step-by-step explanation:

Assuming that <COA is a right angle, we can say that the two given angles are complementary

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1. Charles and Cole measured the height of each of their dogs. The heights (at the
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C. 3.2

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✔️Find |data value - mean|:

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A survey is to be conducted to determine the average driving in miles by Minnesota State University, Mankato students. The inves
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Answer:

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Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size  

Solution to the problem

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (a)

And on this case we have that ME =1.5 and we are interested in order to find the value of n, if we solve n from equation (b) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

The critical value for 92% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.04;0;1)", and we got z_{\alpha/2}=1.75, replacing into formula (b) we got:

n=(\frac{1.75(8.2)}{1.5})^2 =91.52 \approx 92

So the answer for this case would be n=92 rounded up to the nearest integer

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