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Answer:
Emily has a higher relative score since her z-score is higher. This would mean she scored further above the mean than Xiaoyu.
Step-by-step explanation:
Find the z-scores by subtracting the score they got by the mean and then dividing by the standard deivation of their respective exams.
Xiaoyu:
z = = 1.5
Emily:
z = = 2.2
______
Emily has a higher relative score since her z-score is higher. This would mean she scored further above the mean than Xiaoyu.
To find the midpoint of two points, we simply use the midpoint formula:
6/2 = 3
-4/2 = -2
The midpoint of line AB is (3, -2)
We can apply the same thing to the second line.
3/2
-4/2
(1.5, -2) is the midpoint for line ST
For 7, we must use the distance formula, which is:
d = √(x.2 - x.1)² + (y.2 - y.1)²
Plug in the appropriate values.
d = √(8 - 2)² + (-5 + 3)²
d = √40
40 cannot be simplified any further without becoming a decimal.
However, if you need the decimal, the distance between points E and F is equal to 6.32, or √40
I hope this helps!