11. a graduating senior seeking a job has interviews with two companies. after the interviews, he estimates that his chance of getting an offer from the first company is 0.6. he thinks he has a 0.5 chance with the second company, and that the probability that at least one will reject him is 0.8. what is the probability that he gets at least one offer?

  0.2

Step-by-step explanation:

Let F denotes the event that graduate senior will get offer from the first company and S denotes the event that graduate senior will get offer from the second company .

Then, we have :      

The probability that at least one will reject him ( neither first nor second ) =

Now,

Hence, the probability that he gets at least one offer ( either first or second)= 0.2

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180