If we divide 360 by the number of sides, 16, we will get the measure of one of the 16 central angles. 360/16 = 22.5. The vertex angle of one of the triangles that makes up this 16-gon is 22.5. That means that each of the base angles measure 78.75. If we put 2 of these triangles next to each other, 2 sides touching, the bases of both those triangles meet to form an interior angle. Two base angles of 78.75 together form the interior angle: 78.75+78.75 = 157.5. An interior angle measures 157.5. The exterior angle then has to measure 180-157.5 which is 22.5, same as the vertex angle of 1 of the triangles that make up this 16-gon.
Answer:
The normal distribution is explained for the solution of this question.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by:
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 pvalue, we get the probability that the value of the measure is greater than X.
Mean = 25, Standard Deviation = 3.8
This means that
So
If P(X > k) = a
We have to find when Z has a pvalue of 1 - a.
If P(X < k) = a
We have to find when Z has a pvalue of a.
Answer: Down
Step-by-step explanation:
The "range" is the possible values of y, so if x = 35, then y = 20-50.
Since the salesperson must sell 20 shirts, the range starts at 20. But since he only has 50 shirts, he can't sell more than 50. So, the range ends at 50.