Customer center operator. Raaj works at the customer service call center of a major credit card bank. Cardholders call for a variety of reasons, but regardless of their reason for calling, if they hold a platinum card, Raaj is instructed to offer them a double-miles promotion. About 12% of all cardholders hold platinum cards, and about 53% of those will take the double-miles promotion. On average, how many calls will Raaj have to take before finding the first cardholder to take the double-miles promotion?

16 calls

Step-by-step explanation:

1. 12% holds platinum and 53% will get double miles promotion. Therefore, P = 0.12 × 0.53 = 0.0636

2. Number of calls Raaj would make is give by: E(x) =1/p = 1/0.0636

= 15.723

= 16 calls

where are the choices?

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.