Answer:
0.545 = 54.5% probability that it came from machine A
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Defective.
Event B: Coming from machine A.
Machine A is responsible for 30%
This means that 
10% of the output from machine A is defective
This means that 
Probability of being defective:
Machine A is responsible for 30%. Of those, 10% are defective.
Machine B is responsible for 20%. Of those, 5% are defective.
Machine C is responsible for 100 - (30+20) = 50%. Of those, 3% are defective. Then

Finally:

0.545 = 54.5% probability that it came from machine A
Answer:
$34.30
Step-by-step explanation:
He pays 7 percent to health insurance.
7 percent of 490 is 34.30. (490 x 0.07)
ALSO: question 1 answer is actually $298.90
Answer:
it would be just a little less to fit in
Step-by-step explanation:
Answer:



Step-by-step explanation:
By the triangular law of vector addition:


We have that;



From triangle ABC,

Again from triangle XYB



