Answer:
0.2941 = 29.41% probability that it was manufactured during the first shift.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is

In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Defective
Event B: Manufactured during the first shift.
Probability of a defective item:
1% of 50%(first shift)
2% of 30%(second shift)
3% of 20%(third shift).
So

Probability of a defective item being produced on the first shift:
1% of 50%. So

What is the probability that it was manufactured during the first shift?

0.2941 = 29.41% probability that it was manufactured during the first shift.
You would subtract 11 on both sides of the equation.
Then multiply the reciprocal of 1/2 which is 2.
And you should get -16 as your answer <span />
Answer: 31
Step-by-step explanation:
To find the distance, find the difference between the number.
23 - (-8) = 31 So the distance is 31 units.
Note: To go from -8 to 23 you will have to add 31 to -8 and to go from 23 to -8 you will have to subtract 31 so the distance is 31
22/29 = 0.76
0.76*100 = 76
You got a 76%
Contrapositive is basically the converse of the statement. For example, the contrapositive of the statement "If the color is blue, then the fence is blue" is "If the color is not blue, the fence is not blue". Our answer choice that is correct is choice A.
:)