Ryan and Janelle are driving from different locations to meet at Mammoth Lakes. When they each stopped for lunch, they called each other on their cell phones Ryan had traveled 245 miles in 3.5 hours. Janelle had driven 260 miles in 4 hours. How fast was each person driving?

Question part points submissions used suppose that 100 lottery tickets are given out in sequence to the first 100 guests to arrive at a party. of these 100 tickets, only 12 are winning tickets. the generalized pigeonhole principle guarantees that there must be a streak of at least l losing tickets in a row. find l.

The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1252 chips and standard deviation 129 chips. (a) what is the probability that a randomly selected bag contains between 1100 and 1500 chocolate chips, inclusive? (b) what is the probability that a randomly selected bag contains fewer than 1125 chocolate chips? (c) what proportion of bags contains more than 1225 chocolate chips? (d) what is the percentile rank of a bag that contains 1425 chocolate chips?

[15 points, algebra 2]simplify the complex fraction and find the restrictions.