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Evgen [1.6K]
3 years ago
5

If each interior angle of a regular polygon measures 144 degrees, how many sides does the polygon have?

Mathematics
1 answer:
LuckyWell [14K]3 years ago
4 0
180(n-2)=n*144 in our casesolving for n we obtain:36n = 360n=10 sidesCHECK!!!!!!!!!!!!!!!!!!!
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PSYCHO15rus [73]

Answer:

There is a 95% chance that values will be within ±2 standard deviations of the mean.

Step-by-step explanation:

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Problems of normal distributions can be solved using the z-score formula.

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Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The Empirical Rule states that, for a normally distributed random variable:

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Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this question:

According to the empirical rule, 95% of the measures are within 2 standard deviations of the mean. So the correct statement is:

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4 0
3 years ago
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garri49 [273]
You can set up an equation based off of the information given:

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