Answer:
Perpendicular
Step-by-step explanation:
Calculate the slopes m of the segments using the slope formula.
m =
Parallel lines have equal slopes
The product of the slopes of perpendicular lines equals - 1
(x₁, y₁ ) = A(0, 0) and (x₂, y₂ ) = B(e, f)
=
=
Repeat with (x₁, y₁ ) = C(0, e) and (x₂, y₂ ) = D(f, 0)
=
= -
Thus AB and CD are perpendicular since × -
= - 1
A suitable probability calculator will show that probability to be .135905122.
_____
Your class extends from 1 standard deviation above the mean to 2 standard deviations above the mean. The empirical rule puts that probability at ...
... (1/2)(95% - 68%) ≈ 13.5%
The empirical rule tells you 68% of observations lie within 1 standard deviation of the mean, and 95% lie within 2 standard deviations. Then the number that lie between 1 and 2 standard deviations from the mean will be the difference of these values. You want the values in the region above the mean only, so you only want half the difference just described.
