9 = 3d + 3 what is d
2 answers:
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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:
d = 234.6 m
Step-by-step explanation:
You can consider a system of coordinates with its origin at the beginning of the walk of the student.
When she start to walk, she is at (0,0)m. After her first walk, her coordinates are calculated by using the information about the incline and the distance that she traveled:
she is at the coordinates (52.97 , 28.16)m.
Next, when she walks 180m to the east, her coordinates are:
(52.97+180 , 28.16)m = (232.97 , 28.16)m
To calculate the distance from the final point of the student to the starting point you use the Pythagoras generalization for the distance between two points:
The displacement of the student on her complete trajectory was of 234.6m