So probability is (disred outcomes) divided by (total possible outomces
so
hearts and clubs are 2 out of 4 total suits and since there are the same number of cards per suit, it simplifies
2=desrired oucomes
4=total possible
2/4=1/2=0.5=50%
answer is 1/2 or 0.5 or 50%
Lines are perpendicular if the slope of one is the negative reciprocal of the other. In this case the slopes are -8/3 and 8/3, so while negative they are not reciprocal. So no, the two lines intersect but are not perpendicular.
Answer:

Step-by-step explanation:
By definition if two events are mutually exclusive then they are disjoint events, that is, they can not occur at the same time.
In general terms we say that events are mutually exclusive, then:

In this case we have that

But A and B are mutually exclusive events, then 
Answer:

Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional
so

solve for x


<h3>
Answer: 35 feet</h3>
Work Shown:
1 inch : 7 feet
5*(1 inch) : 5*(7 feet)
5 inches : 35 feet
5 inches on paper correspond to 35 feet in the actual house.