One number is 2 more than another. The difference between their squares is 52. What are the numbers?
2 answers:
You might be interested in
Answer:
a) 0.3270 = 32.70% probability that Christine fails the course
b) 0.3917 = 39.17% probability that she had found someone to help
Step-by-step explanation:
We have these following probabilities:
61% probability that Christine find a coach.
100 - 61 = 39% probability that Christine does not find a coach.
With a coach, a 21% probability of failing.
Without a coach, a 51% probability of failing.
a. What is the probability that Christine fails the course?
21% of 61%(finds a tutor) plus 51% of 39%(does not find a tutor). So
P = 0.21*0.61 + 0.51*0.39 = 0.327.
0.327 = 32.7% probability that Christine fails the course
b. Christine ends up failing the course. What is the probability that she had found someone to help?
This can be formulated by the Bayes formula:
In which P(B|A) is the probability of B happening given that A happened and P(A|B) is the probability of A happening given that B happened.
In this question.
P(B|A) is the probability of finding a tutor given that she failed.
P(B) is the probability of finding a tutor. So P(B) = 0.61.
P(A|B) is the probability of failing when finding a tutor. So P(A|B) = 0.21
P(A) is the probability of failing. So P(A) = 0.327.
So
0.3917 = 39.17% probability that she had found someone to help
#1
- The limit tends to 0
- Hence c=0
- Here limit tends to 1
- Hence c=1
- Here x tends to infty.
- c=infty
For the fourth one limit also tends to zero