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Answer:
The probability that either Alex or Bryan get an A is 0.9
Step-by-step explanation:
Before we proceed to answer, we shall be making some important notation;
Let A = event of Alex getting an A
Let B = event of Bryan getting an A
From the question, P(A) = 0.9, P(B) = 0.8 and P(A ∩ ) = 0.1
We are to calculate the probability that either Alex or Bryan get an A which can be represented as P(A ∪ B)
We can use the addition theorem here;
P(A ∪ B) = P(A) + P(B) - P(A ∩ B) .......................(i)
Also,
P(A) = P(A ∩ ) + P(A ∩ B) .........................(ii)
We can insert ii into i and we have;
P(A ∪ B) = P(A ∩ ) + P(A ∩ B) + P(B) - P(A ∩ B) = P(A ∩
) + P(B) = 0.1 + 0.8 = 0.9
Answer:
It will take 4.5 hours for rick to complete the job.
Step-by-step explanation:
Given:
Time taken by Phil to paint the garage = 12 hours.
It means that for each hour he does = of the job.
.
Time taken by Rick to paint the garage = 10 hours.
It means that for each hour he does = of the job
.
If they work together for 3 hours,
Phil does job in 3 hrs =
Rick does job in 3 hrs =
.
So in three hours of working together job done =
.
This means job of the painting entire garage have been done 0.55 of it.
1 - 0.55 = 0.45.
So there is 0.45 job left
At this point Phil quits and Rick presses on by himself. Since he does 1/10 of the garage every hour
Let T represents the time that Rick needs to complete the job after Phil leaves.
Hence,
Hence it will take rick 4.5 hours to complete the remaining job.
Answer:
J Monica is right
Step-by-step explanation:
Add three to both sides, divide by 4 you get x4