
,

,

We find the probability of intersection using the inclusion/exclusion principle:

By definition of conditional probability,

For

and

to be independent, we must have

in which case we have

, which is true, so

and

are indeed independent.
Or, to establish independence another way, in terms of conditional probability, we must have

which is also true.
USE CALCULATOR!!! EPLAINT OOOO
The angles of a triangle should add up to 180 degrees. in the left triangle, you should find the 3rd angle
75 + 50 + y = 180
125 + y = 180
y = 55
vertical angles are congruent, so the left angle on the right triangle will also be 55 degrees.
then you do the same thing to find x.
85 + 55 + x = 180
140 + x = 180
x = 40
Answer:
TRUE
Step-by-step explanation:
5 x 5 = 25 in²
Answer:
r = -1
Step-by-step explanation:
(y2-y1)/(x2-x1)=m
(r,7)=(x1,y1) and (3,4)=(x2-y2) and m=-3/5
so plug in...
(4-7)/(4-r)=-3/5
then solve for r which will get that r = -1
numerator: 4-7=-3
denominator: 4-r=5 -> 4-5=0+r -> -1=r