Shuttles bound for boston depart from new york every hour on the hour (e. g., at exactly one o'clock, two o'clock, passengers arrive at the departure gate in new york according to a poisson process with rate λ per hour. what is the expected number of passengers on any given shuttle? (assume that everyone who arrives between two successive shuttle departures boards the shuttle immediately following his/her arrival.)

Compare the cost of the bike trips from the two companies shown.for both the cost in a linear function of the number of days which statements is true

Given: pqrs is a parallelogram prove: pr and qs bisect each other at t

Carla was trying to decide what to do saturday evening. she has $100 available to spend for the evening. she has narrowed her choices down to these events: braves game, a concert of an artist she likes, or the georgia aquarium. admission to the braves game is $25, hot dogs cost $10, sodas cost $5. the concert costs $25 for admission, $20 for a souvernir t-shirt, and $10 for a soda. the georgia aquarium has the show of a lifetime with an all you can eat and drink that costs $100. carla does not want to take any driving chances, so in addition to the cost of the aquarium, she will also need to pay for her uber/lyft, which is $15 each way. which option should carla choose if she wants to spend the least? based on that choice, what then is carla's oppotunity cost? fully explain your answer in at least one paragraph.