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.
So first, this is point slope form. The first step is to distribute.)

Then add 4 to both sides.

Then add 2x and it becomes
Answer:
x=16.3
Step-by-step explanation:
x-1.7=14.6
x=14.6+1.7
x=16.3
Answer:
Root 16=4
Root 9=3
Therefore it becomes 4/3
Now distance between the two= 13/3-4/3 which is equal to 9/3 and 9 divided by 3 is 3.
Therefore the distance between the two on a number line is 3
8 2/3 ooooooorrrrrrrr 8.6