You randomly select 2 marbles from a mug containing 5 blue marbles, 3 red marbles, and 2 white marbles. How many times greater is the probability of selecting 2 white marbles when you replace the first marble before selecting the second marble than when you do not replace the first marble before selecting the second marble?

Onsider the following subscription behavior information from genie, a web site that provides tools for constructing a family tree (ancestor search). subscriptions cost $9.99 per month, but you are charged for the entire year at the time of purchase. there is a one-year minimum term when you sign up for the service. once purchased, subscriptions are set to renew automatically unless the subscriber cancels them. when a membership renews, it renews for a one-year term and again you are charged for the entire year. there are no variable costs associated with providing this service to an individual customer, but genie does engage in customer relationship activities that they believe will increase customer retention. these customer relationship activities cost genie about $10 per year per customer. based on a sample of 1000 customers that joined genie five years ago, near the time when the company was founded, they were able to determine how many of those customers remained subscribers in the second year, third year etc. based on this information, genie calculated the average annual retention rate to be 20%. genie uses an annual discount rate of 8%. a. last year, genie spent $10,000 placing advertisements on google. genie management believes that these advertisements were responsible for about 300 new subscribers. would you recommend to genie management that they purchase more google ads? b. suppose a newly-introduced loyalty program increases the number of customers that remained to 30%. does this new data change your answer to 9.a? c. do you have any hesitations or concerns about making recommendations to management based on your above estimate of customer lifetime value?

University car wash built a deluxe car wash across the street from campus. the new machines cost $219,000 including installation. the company estimates that the equipment will have a residual value of $19,500. university car wash also estimates it will use the machine for six years or about 12,500 total hours. actual use per year was as follows: year hours used 1 3,100 2 1,100 3 1,200 4 2,800 5 2,600 6 1,200 prepare a depreciation schedule for six years using the following methods: 1. straight-line. 2. double-declining-balance. 3. activity-based.

While on vacation in las vegas jennifer, who is from utah, wins a progressive jackpot playing cards worth $15,875 at the casino royale. what implication does she encounter when she goes to collect her prize?