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enyata [817]
3 years ago
6

The least common multiple of two numbers is 20. The difference of the two numbers is 1.

Mathematics
1 answer:
nevsk [136]3 years ago
6 0
The answer is 5. The two numbers are 5 and 4 
5 x 4 = 20
5 - 4 = 1
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LuckyWell [14K]

Answer:

A sample of 16577 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

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The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

99% confidence level

So \alpha = 0.01, z is the value of Z that has a p-value of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

She wants to estimate the proportion using a 99% confidence interval with a margin of error of at most 0.01. How large a sample size would be required?

We have no estimation for the proportion, and thus we use \pi = 0.5, which is when the largest sample size will be needed.

The sample size is n for which M = 0.01. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

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0.01\sqrt{n} = 2.575*0.5

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Rounding up:

A sample of 16577 is required.

8 0
3 years ago
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