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.
Perpendicular = Negative Reciprocal
-3 --> -1/3 ---> 1/3
Therefore it is C
Answer:
16 pieces of spearmint gum
Step-by-step explanation:
For every five pieces of peppermint gum, there are 2 pieces of spearmint gum.
First, divide the total number of peppermint gum by 5:
40/5 = 8
Multiply this number by 2 (pieces of spearmint) to get the number of spearmint gum pieces:
8 x 2 = 16
Proof:
Ratio is 40 : 16, dividing this by 8 will reduce the ratio to 5:2
Answer:
The width is 
Step-by-step explanation:
The perimeter of the rectangular yoga mat can be found using the formula;
.
.
It was given that the width of the mat is eight less than half the length.

We put equation (2) into equation (1) to get;
.
.
.

Divide both sides by 3;

We put
into equation 2 to get;



Answer:
Boruto is freaking adorable but I think all of them are cute UnU