Answer:
3.14159265358979
Step-by-step explanation:
Divide 34.65 by 100 take your answer times that by 23 that should be your answer
Answer:
1. x = 8
2. y = 1/2
Step-by-step explanation:
1. Plug the function
5x + 20(0.50) = 50
= 5x + 10 = 50
Subtract 10 from both side
= 5x = 40
Divide 5 on both sides
= x = 8
2. Plug in the function
5(8) + 20y = 50
= 40 + 20y = 50
Subtract 40 on both sides
= 20y = 10
Divide 20 both sides
= y = 10/20 | 1/2
Answer:
1) is not possible
2) P(A∪B) = 0.7
3) 1- P(A∪B) =0.3
4) a) C=A∩B' and P(C)= 0.3
b) P(D)= 0.4
Step-by-step explanation:
1) since the intersection of 2 events cannot be bigger than the smaller event then is not possible that P(A∩B)=0.5 since P(B)=0.4 . Thus the maximum possible value of P(A∩B) is 0.4
2) denoting A= getting Visa card , B= getting MasterCard the probability of getting one of the types of cards is given by
P(A∪B)= P(A)+P(B) - P(A∩B) = 0.6+0.4-0.3 = 0.7
P(A∪B) = 0.7
3) the probability that a student has neither type of card is 1- P(A∪B) = 1-0.7 = 0.3
4) the event C that the selected student has a visa card but not a MasterCard is given by C=A∩B' , where B' is the complement of B. Then
P(C)= P(A∩B') = P(A) - P(A∩B) = 0.6 - 0.3 = 0.3
the probability for the event D=a student has exactly one of the cards is
P(D)= P(A∩B') + P(A'∩B) = P(A∪B) - P(A∩B) = 0.7 - 0.3 = 0.4
