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.
Answer: A vertical stretch of 4 and a translation of -2 units in the x-direction.
Step-by-step explanation:
Changes of the parent function can be written, in this case as <em>a</em>f(x)(x - <em>k</em>) where <em>a</em> is the stretch factor and <em>k</em> is the movement left or right on the x-axis.
In this case, a = 4 and k = 2. Since the k is negative, the function will be moved -2 units on the x-axis.
<em>Learn more about </em><em>transformations of a parent function</em><em> here:</em>
<em>brainly.com/question/13822715</em>
<span>4% is the same as 0.04 </span>
<span>so 0.04 x n = 56 where "n" is some number </span>
<span>0.04n = 56 Divide both sides by 0.04 </span>
<span>n = 1400</span>
Answer:
6 + (3xd)
Step-by-step explanation: