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Nitella [24]
3 years ago
7

What is the gcf of 40 and 66

Mathematics
1 answer:
poizon [28]3 years ago
3 0
the gcf of 40 and 60 is 2.
-steps:        
     40: 1, 2, 4, 5, 8, 10, 20, and 40
     60: 1, 2, 3, 6, 11, 22, 33, and 66
in the factors of both numbers only number 2 is the common number, so 2 is the gcf of 40 and 66
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<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

\overline{x} \pm z\frac{\sigma}{\sqrt{n}}

In which:

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  • z is the critical value.
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The margin of error is given by:

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

In this problem, we have that the parameters are given as follows:

M = 3, z = 1.645, \sigma = 16.

Hence, solving for n, we find the sample size.

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

3 = 1.645\frac{16}{\sqrt{n}}

3\sqrt{n} = 1.645 \times 16

\sqrt{n} = \frac{1.645 \times 16}{3}

(\sqrt{n})^2 = \left(\frac{1.645 \times 16}{3}\right)^2

n = 76.97

Rounding up, the smallest sample size required to obtain the desired margin of error is of 77.

More can be learned about the z-distribution at brainly.com/question/25890103

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Answer:

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P(X = 2) = 10 C 2 0.9^2 0.1^8

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