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pav-90 [236]
3 years ago
5

Find the value of x. Please help

Mathematics
2 answers:
vitfil [10]3 years ago
4 0

Answer:

The answer is 57.

180 - 67 - 56 = 57

mestny [16]3 years ago
4 0

Answer:

57 degrees

Step-by-step explanation:

The total degrees in a triangle is 180

x + 67 + 56 = 180

x + 123 = 180

x = 180 - 123

x = 57

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The travel-to-work time for residents in Ventura County is unknown. Assume the population variance is 39. How large should a sam
katen-ka-za [31]

Answer:

A sample size of 128 is needed.

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{1-0.93}{2} = 0.035

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 1-0.035 = 0.965, so z = 1.81

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(square root of the variance) and n is the size of the sample.

How large should a sample be if the margin of error is 1 minute for a 93% confidence interval

We need a sample size of n, which is found when M = 1. We have that \sigma = \sqrt{39}. So

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

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A sample size of 128 is needed.

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