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1 year ago

Find the coordinates of p that represent the weighted average of each set of points based on the given conditions

Mathematics

1 answer:

mote1985 [20]1 year ago

5 0

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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Answer:

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Step-by-step explanation:

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Combine like terms.

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Muliply by the reciprocal or inverted fraction next to b.

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Now plug this value into any of the equations to find the value of a.

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