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Answer:
We are given the below data:
Sample Number Sample Mean
1 11.8
2 12.5
3 15.1
4 14.3
5 13.0
6 12.9
7 10.2
8 11.5
9 12.9
10 15.4
Now the most likely mean of the population can be found by finding the mean of given sample means. It is given below:
Therefore, the most likely mean of the population from which the samples were taken is 12.96
The perimeter of the pentagon is approximately 19.6.
<h3>Procedure - Determination of the perimeter of a pentagon</h3><h3 />In this question we must plot the locations of each vertex on a Cartesian plane to determine the line segments that form the perimeter, whose lengths are determined by Pythagorean theorem and sum the resulting values to find the perimeter.
According to the image attached below, the line segments of the pentagon are MN, NP, PQ, QR and RM. By Pythagorean theorem we have the following lengths:
<h3>Line segment MN</h3><h3 /><h3>And the perimeter of the pentagon is:
(1)
The perimeter of the pentagon is approximately 19.6.
To learn more on pentagons, we kindly invite to check this verified question: brainly.com/question/27476
