Answer:
0.7 ; 0.65 ; 0.115
Step-by-step explanation:
Step-by-step explanation:
P(A) = 0.5 ; P(B) = 0.3
P(not successful) = P(B') = 1 - 0.3 = 0.7 ; P(A') = 1 - 0.5 = 0.5
1.)
Both events are independent events, hence the outcome of one does not depend on the other. That is the failure of the Asian project has nothing to do with the European project.
Probability that European project isn't successful;
P(B') = 1 - P(B) = 1 - 0.3 = 0.7
2.)
Probability that atleast one of the 2 projects is successful :
P(AUB) = P(A) + P(B) - P(AnB)
P(AnB) = P(A) * P(B) = 0.5 * 0.3 = 0.15
P(AUB) = 0.5 + 0.3 - 0.15 = 0.65
3.)
Probability that only the Asian project is successful, given that atleast one of the two projects is successful :
[P(A) - P(AnB)] ÷ P(AuB)
[0.5 * 0.15] ÷ 0.65
= 0.075 ÷ 0.65
= 0.1153846
= 0.115
Multiply each side by 9:
18 + 4x > 36 + 9x
Subtract 18 from each side:
4x > 18 + 9x
Subtract 9x from each side:
-5x > 18
Divide each side by -5:
x < -3.6
Hope this helps!
Well, if we put everything together we have gone .25 of a mile in 72 seconds.
Since .25 is a quarter of a mile (1/4) we can estimate that in 288 seconds the car has traveled one mile. We got 288 by multiplying .25 by 4.
Answer:
Step-by-step explanation:
Let c represent the number of children that attended the concert.
Let a represent the number of adults that attended the concert.
At one of the concerts, each adult brought 4 children with them, and 10 children attended without an adult. This means that the number of children that attended is
c = 4a + 10
Tickets for a concert were $5 for each child and $8 for each adult. The total ticket sales were $1730. It means that
5c + 8a = 1730
Therefore, the systems of equations that can be solved to determine the number of children, c, and adults that attended the concert is
c = 4a + 10
5c + 8a = 1730
Answer:
Ox>5
x is less than 5
means nothing more than 5 but anything less than 5
