Answer:
C. 37.5 minutes
Step-by-step explanation:
You can set up a proportion to help you figure this out.
12/15=30/x (in this proportion, the number of laps are both on the numerator and the time it takes her is on the denomiator.)
Now, just cross multiply and your equations should be: 12·x=15·30, which equals to 12x=450.
Divide 12 on both sides and x=37.5
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
11x11=121
$140-121=19
19/7=
It would take approximately 2hours and 71 minutes to meet her requirements.
Answer:
3
d
=
−
36
Step-by-step explanation:
we are given

Firstly , we will multiply both sides by 5

now, we can simplify it


now, we can solve for n
.............Answer