Answer:
Not independent.
Step-by-step explanation:
Given that P(A)=0.25 , P(B)=0.2 , and P(A and B)=0.04
To check whether A and B are independent.
Two events are independent if
P(A/B) = P(A) or P(B/A) = P(B) or P(AB) = P(A) P(B)
if any one of the above three is true also, the two events would be independent.
Let us find out first one
P(A/B ) = P(AB)/P(B) (as per conditional probability formula)
= 0.04/0.2=0.2
But P(A) = 0.25 and not equals P(A/B)
Hence we can conclude that A and B are not independent
because P(A/B) not equals P(A)
The total cost is $17,955.
Let x be the total amount of his tuition. He paid for 44% of it, or 0.44, with his scholarship. This leaves 100%-44% = 56% = 0.56 of it to be taken care of with loans. We know he took out 10054.52 in loans:
0.56x = 10054.52
Divide both sides by 0.56:
0.56x/0.56 = 10054.52/0.56
x = 17954.50 ≈ 17955
Answer:The expression can be simplified in following steps;
Step-by-step explanation:
(16+a)+15=0
16+15+a=0
31+a=0
a=-31