You are looking for a great person to spend your life with. the prior probability that someone is a great match is 0.1 (and i’m being generous here). if the person is a great match, their probability of having a good job is 0.8, whereas 30% of people who are not a great match also have a good job. on the first date you learn that the person has a good job.

what is the probability that they are a great match?

a. 0.2

b. 0.34

c. 0

d. 0.1

e. 0.23

E. 0.23

Step-by-step explanation:

given that you are looking for a great person to spend your life with.

The prior probability that someone is a great matchi.e. event A is 0.1

Their probability of having a good job is 0.8,i.e. P(B/A)

whereas 30% of people who are not a great match also have a good job.

P(B/A')

On the first date you learn that the person has a good job.

Required probability =  the probability that they are a great match/the person has a good job

=P(A/B) =

since A and A' are mutually exclusive and exhaustive.

=

After rounding off we find that

answre is option E) 0.23

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct