Given the following information, Event A includes outcomes 2, 4, 6 and Event B includes outcomes 1, 3, 5. Based on the information provided, Events A and B are:.
A. Mutually exclusive.
B. Non-mutually exclusive.
C. Simple.

A. Mutually exclusive

Step-by-step explanation:

We are given that

Event A={2,4,6}

Event B={1,3,5}

Event A and B=A∩B={2,4,6}∩{1,3,5}={}

As events A and B have no outcome in common, so it means that event A and B are mutually exclusive events.

We can say that event A and event B are not non-mutually exclusive.

Simple events are those which have only one outcome like {1} or {2} etc.

Thus, we conclude that event A and event B are mutually exclusive events.

d is correct

step-by-step explanation:

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3