To find midpoint, we find the average or median of the two x terms and the average of the two y terms to find the right coordinate point. In this case, the average of -2 and 6 is 2, and the mean of 4 and -4 is 0, so the new coordinate point is (2,0).
The mean of a dataset is the sum of all data elements divided by the count of the elements.
The location of the 6th score relative to the mean is 5 points below the mean
Let:
<em> Mean</em>
<em> 5 scores</em>
<em> 6th scores</em>
Given that:
The 5 scores that are 1 above the mean implies that:
The mean of a dataset is calculated using:
So, we have:
Open brackets
Multiply both sides by 6
Make b the subject
This means that the 6th score is 5 points below the mean
Read more about mean at:
brainly.com/question/17060266
By using definition of proportionality and Pythagorean theorem, the values of x and y associated with the geometrical system formed by two right triangles are 36 / 5 and 104 / 5, respectively.
<h3>How to analyze a geometrical system formed by two proportional right triangles</h3>
Herein we find a picture of a geometrical system formed by two proportional right triangles with two variables: {x, y} These variables can be found by using the definition of proportionality and the Pythagorean theorem:
5 / 8 = 12 / (12 + x) = 13 / y
Then, we proceed to solve the system formed by two equations:
(12 + x) / 12 = 8 / 5
12 + x = 96 / 5
x = 96 / 5 - 12
x = 36 / 5
y / 13 = 8 / 5
y = 104 / 5
By using definition of proportionality and Pythagorean theorem, the values of x and y associated with the geometrical system formed by two right triangles are 36 / 5 and 104 / 5, respectively.
To learn more on right triangles: brainly.com/question/6322314
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