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.
Volume of a right circular cone =

The h is the height and r is radius. It's about 234.57.
Answer:
The remaining lenghts are
and
.
Step-by-step explanation:
Given that there are two triangles opposite to each other and between two parallel lines, then both are similar, meaning than following relationships exist:
(1)
If we know that
,
,
and
, then the missing lengths are, respectively:






The remaining lenghts are
and
.
Their corresponding sides are proportional and their corresponding angles are equal.
For these questions it's asking you to substitute the value into the equation.
For example question 5 says,
26= y-9;y=35
basically it's saying if y=35, is the equation correct or not.
In this case: 26= 35 -9 is correct.
So your answer is true.
Hope this helps Xx