If P(A)=0.2, P(B)=0.5, and P(A∪B)=0.7, then
P(A∩B)=
.
(a) Are events A and B independent? (enter YES or NO)

(b) Are A and B mutually exclusive? (enter YES or NO)

(a) (NO)

(b) (YES)

Step-by-step explanation:

We have that:

P(A)=0.2, P(B)=0.5, and P(A∪B)=0.7

To find P(A∩B), we use the relation:

P(A∪B)=P(A)+P(B)- P(A∩B)

We substitute to get:

0.7=0.2+0.5-P(A∩B)

0.7=0.7-P(A∩B)

P(A∩B)=0.7-0.7

P(A∩B)=0

Events A and B are disjoint and hence are mutually exclusive.

P(A∩B)≠P(A)×P(B).

Hence the two events are not independent.

225x²+4=0

225x²=0-4

225x²=-4

x²=-4/225

x=±√-4/225

step-by-step explanation:

ok one would be money, and the other would be refreshments or something similar. if each bag of popcorn is 5.00 and each drink is half of that that means drinks are 2.50 the proper way to do that would to look and see how much of each you can buy without exceeding a limit of 30.00