14 is a gcf of M AND 210. what are the possible values of m

1 answer:

3 0

GCF(14; M) = 210

210|2
105|5
21|3
7|7
1|

210 = 14 × 3 × 5

The possible values of M:
14 × 1 = 14
14 × 2 = 28
14 × 4 = 56
14 × 7 = 98
14 × 8 = 112
14 × 11 = 154
14 × 13 = 182
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In an effort to estimate the mean of amount spent per customer for dinner at a major Lawrence restaurant, data were collected fo

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Answer:

The 99% confidence interval for the population mean is 22.96 to 26.64

Step-by-step explanation:

Consider the provided information,

A sample of 49 customers. Assume a population standard deviation of $5. If the sample mean is $24.80,

The confidence interval if 99%.

Thus, 1-α=0.99

α=0.01

Now we need to determine $z_{\frac{\alpha}{2}}=z_{0.005}$

Now by using z score table we find that $z_{\frac{\alpha}{2}}=2.58$

The boundaries of the confidence interval are:

$\mu-z_{\frac{\alpha}{2}}\times \frac{\sigma}{\sqrt{n} }\\24.80-2.58\times \frac{5}{\sqrt{49}}=22.96\\\mu+z_{\frac{\alpha}{2}}\times \frac{\sigma}{\sqrt{n} }\\24.80+2.58\times \frac{5}{\sqrt{49}}=26.64$