12. suppose that the time in minutes required to serve a customer at a certain facility has an exponential distribution for which the value of the parameter θ is unknown and that the prior distribution of θ is a gamma distribution for which the mean is 0.2 and the standard deviation is 1. if the average time required to serve a random sample of 20 customers is observed to be 3.8 minutes, what is the posterior distribution of θ?

James wants to promote his band on the internet. site a offers website hosting for $4.95 per month with a $49.95 startup fee. site b offers website hosting for $9.95 per month with no startup fee. for how many months would james need to keep the website for site a to be a better choice than site b? 1. define a variable for the situation. 2. write an inequality that represents the situation. 3.solve the inequality to find out how many months he needs to keep the website for site a to be less expensive than site b. 4. using words, describe how many months he needs to keep the website for site a to be less expensive than site b.

What is the range of the relation in the table below? x y –2 0 –1 2 0 4 1 2 2 0

Aline that intersects one of two parallel lines intersects the other also always sometimes never