The coordinates that represent the weighted mean of points are given as follows:
(-1.17, -1.58).
<h3>What is the weighted mean?</h3>
The weighted mean is given by the <u>sum of all elements in a data-set multiplied by it's weight, divided by the sum of the weights</u>.
For this problem, the points and weights are given as follows:
- X(2,0) with a weight of 1.
- U(-8,-5) with a weight of 2.
- W(-3, -2.5) with a weight of 4.
- V(-6,-4) with a weight of 2.
- Z(8,3) with a weight of 3.
The x-coordinate of the mean is given as follows:
x = (2 x 1 - 8 x 2 - 3 x 4 - 6 x 2 + 8 x 3)/(1 + 2 + 4 + 2 + 3) = -1.17.
The y-coordinate of the mean is given as follows:
x = (0 x 1 - 5 x 2 - 2.5 x 4 - 4 x 2 + 3 x 3)/(1 + 2 + 4 + 2 + 3) = -1.58.
More can be learned about the weighted mean at brainly.com/question/18554478
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