Answer:
0.5015 = 50.15% probability that it came from manufacturer A.
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: From manufacturer A.
Probability a unit is defective:
2% of 43%(from manufacturer A)
1.5% of 57%(from manufacturer B). So

Probability a unit is defective and from manufacturer A:
2% of 43%. So

What is the probability that it came from manufacturer A?

0.5015 = 50.15% probability that it came from manufacturer A.
8, 72 pieces of recycling sorted into 9 bins will make 8 in each bin.
The answer is 70cm for the height because you would multiply 50cm x 35cm and you would get 1750. Then you would divide that by 122,500 and you will get the height
Answer:
-1
Step-by-step explanation:
The given equation has a y-intercept of 8, so goes through the point (0, 8).
If the line also goes through the point (2, 6) it has a slope of ...
(y2 -y1)/(x2 -x1) = (6 -8)/(2 -0) = -2/2 = -1
The slope of the line is -1.
_____
The value of A is -2.