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julia-pushkina [17]
3 years ago
8

The value of 30, to one decimal place, is approximately what?​

Mathematics
1 answer:
andrew-mc [135]3 years ago
8 0

the answer is 5.5

when we write root of 30 in the calculater we get 5.477225575...

so we can round this off to one decimal point

and when we do the final answer will be 5.5

<em>hope</em><em> </em><em>that</em><em> </em><em>helps</em><em> </em><em>!</em>

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Brewed decaffeinated coffee contains some caffeine. We want to estimate the amount of caffeine in 8 ounce cups of decaf coffee a
rusak2 [61]

Answer:

We would have to take a sample of 62 to achieve this result.

Step-by-step explanation:

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\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.

That is z with a pvalue of 1 - 0.025 = 0.975, so Z = 1.96.

Now, 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.

Assume that the standard deviation in the amount of caffeine in 8 ounces of decaf coffee is known to be 2 mg.

This means that \sigma = 2

If we wanted to estimate the true mean amount of caffeine in 8 ounce cups of decaf coffee to within /- 0.5 mg, how large a sample would we have to take to achieve this result?

We would need a sample of n.

n is found when M = 0.5. So

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

0.5 = 1.96\frac{2}{\sqrt{n}}

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Rounding up

We would have to take a sample of 62 to achieve this result.

8 0
3 years ago
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