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erma4kov [3.2K]
4 years ago
8

What's 486.12 fraction

Mathematics
1 answer:
melisa1 [442]4 years ago
7 0
486.12 as fraction is 12153/25
HOPE THIS HELPS 
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In a manufacturing process, we are interested in measuring the average length of a certain type of bolt. Past data indicate that
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Answer:

We need a sample size of 600 or higher in order to make us 95 percent confident that the sample mean bolt length is within .02 inches of the true mean bolt length

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, we find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

How many bolts should be sampled in order to make us 95 percent confident that the sample mean bolt length is within .02 inches of the true mean bolt length?

We need a sample size of n or higher, when M = 0.02, \sigma = 0.25. So

M = z*\frac{\sigma}{\sqrt{n}}

0.02 = 1.96*\frac{0.25}{\sqrt{n}}

0.02\sqrt{n} = 0.49

\sqrt{n} = \frac{0.49}{0.02}

\sqrt{n} = 24.5

\sqrt{n}^{2} = (24.5)^{2}

n = 600

We need a sample size of 600 or higher in order to make us 95 percent confident that the sample mean bolt length is within .02 inches of the true mean bolt length

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3 years ago
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You would need 15 boards bc 24.6666 divided by 1.75 is 14.09 and I got those decimal numbers from finding the decimal number of the 24 and 3/4 and the 1 and 3/4
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4 years ago
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What is the estimate of 253,889
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Nearest thousand would be 300,000
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4 years ago
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