Circle the function types that have an absolute maximum or minimum. Choose all that apply.
1 answer:
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Since a regular polygon has equal interior angles, then the measure of the angle marked x is: 132°.
<h3>What is a Regular Polygon?</h3>A regular polygon is any n-sided polygon that has equal interior angles and equal sides.
Thus:
- Each angle of a regular hexagon = 120°
- Each angle of a regular pentagon = 108°
Therefore:
x = 360 - 120 - 108
x = 132°
Thus, since a regular polygon has equal interior angles, then the measure of the angle marked x is: 132°.
Learn more about regular polygon on:
Answer:
The upper limit of a 95% confidence interval for the population mean would equal 83.805.
Step-by-step explanation:
The standard deviation is the square root of the variance. Since the variance is 25, the sample's standard deviation is 5.
We have the sample standard deviation, not the population, so we use the t-distribution to solve this question.
T interval:
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 15 - 1 = 14
Now, we have to find a value of T, which is found looking at the t table, with 14 degrees of freedom(y-axis) and a confidence level of 0.95(). So we have T = 1.761
The margin of error is:
M = T*s = 1.761*5 = 8.805.
The upper end of the interval is the sample mean added to M. So it is 75 + 8.805 = 83.805.
The upper limit of a 95% confidence interval for the population mean would equal 83.805.