Answer:
22/35
Step-by-step explanation:
3/7 + 1/5
First, find a common denominator.
7*5=35 multiply the numerator by 5 too: 3*5=15
5*7=35 multiply the numerator by 7 too: 1*7=7
15/35 + 7/35
=22/35
Cannot be simplified.

has CDF

where

is the CDF of

. Since

are iid. with the standard uniform distribution, we have

and so

Differentiate the CDF with respect to

to obtain the PDF:

i.e.

has a Beta distribution

.
Answer:
89 meters
Step-by-step explanation:
We know it's 9 + "the height of the triangle".
Fortunately, the height of the triangle (let's call it y) can be computed from:
y^2 + 18^2 = 82^2 (Pythagoras theorem).
y^2 = 82^2 - 18^2 = 6724 - 324 = 6400
y = 80 (or y = -80 but it doesn't make sense in geometry).
so x = y + 9 = 89;