Which is the better price- 17% off $35 or 12% off $32?Explain
1 answer:
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Answer:
If a component received by the manufacturer is defective, the probability that it was produced at plant A is 0.5385 = 53.85%.
Step-by-step explanation:
We use the Bayes Theorem to solve this question.
Bayes Theorem:
Two events, A and B.
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Defective component
Event B: Produced at plant A.
Plant A produces 70% of the components used
This means that
Among the components produced at plant A, the proportion of defective components is 1%.
This means that
Probability of a defective component:
1% of 70%(defective at plant A)
2% of 100 - 70 = 30%(defective at plant B). So
If a component received by the manufacturer is defective, the probability that it was produced at plant A is
If a component received by the manufacturer is defective, the probability that it was produced at plant A is 0.5385 = 53.85%.
Answer:
x = , x = 1
Step-by-step explanation:
(a)
= x + 7 ( multiply both sides by 2 to clear the fraction )
4x - 1 = 2x + 14 ( subtract 2x from both sides )
2x - 1 = 14 ( add 1 to both sides )
2x = 15 ( divide both sides by 2 )
x =
(b)
3x + 2 = ( multiply both sides by 3 to clear the fraction )
9x + 6 = 2x + 13 ( subtract 2x from both sides )
7x + 6 = 13 ( subtract 6 from both sides )
7x = 7 ( divide both sides by 7 )
x = 1