Let
A = event that the student is on the honor roll
B = event that the student has a part-time job
C = event that the student is on the honor roll and has a part-time job
We are given
P(A) = 0.40
P(B) = 0.60
P(C) = 0.22
note: P(C) = P(A and B)
We want to find out P(A|B) which is "the probability of getting event A given that we know event B is true". This is a conditional probability
P(A|B) = [P(A and B)]/P(B)
P(A|B) = P(C)/P(B)
P(A|B) = 0.22/0.6
P(A|B) = 0.3667 which is approximate
Convert this to a percentage to get roughly 36.67% and this rounds to 37%
Final Answer: 37%
3° and 177°
supplementary angles sum to 180°
let x be an angle then the other angle is 59x
x + 59x = 180
60x = 180 ( divide both sides by 60 )
x = 
= 3
the angles are 3° and (59 × 3 )= 177°
Step-by-step explanation:
Let's subtitute 
for the above equation:
Answer:
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Step-by-step explanation:
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