a. The events are mutually exclusive, so

b. For the same reason,

Another way to see this is to use the result from part (a), and the inclusion/exclusion principle:

and the right side reduces to 0.
c. Same as (b),

d. Same as (b),

We can also use the distributivity rule for unions and intersections to write

e. If the
is the complement of
, then by DeMorgan's law,

Solve the equation

So we have:

Factor, 2 numbers of which the sum is -13 and multiplying gives 36, these two are -4 and -9
So solve:

The solutions:
4 and 9
Since AS is a height issued from A and the perpendicular bisector of [MP] at the same time (given), so the triangle AMP is an isosceles triangle of vertex A. Then, AM=AP
MS=SP ( AS bisects MP as stated in the given )
AS is a common side between triangles ASM and ASP
Therefore, triangles ASM and ASP are congruent (SSS)
The answer is B.
I hope this helps!
Answer:
4
Step-by-step explanation:
If the slope is 0, the line is horizontal and the y-coordinate is 4 for all x values.
Thus the missing y-coordinate is 4.