As a measure of intelligence, mice are timed when going through a maze to reach a reward of food. the time (in seconds) required for any mouse is a random variable y with a density function given by f(y) = b y2 , y ≥ b, 0, elsewhere, where b is the minimum possible time needed to traverse the maze. (a) show that f(y) has the properties of a density function.

Hye ryung is the president of the local chapter of the american medical students association (amsa). she is organizing local outreach and informational meetings. at her first meeting there are five people present (including herself). every month after that her group grows by 5 people. a. how many members are in the group after 6 months? b. the logistics of hosting and feeding her group at meetings was more complicated than expected. the cost of feeding 5 people at her first meeting was $30, for 10 people it was $35, for 15 it was $45, and after 6 months all of the costs had added up to $100. write a function to model the cost with the number of people attending meetings. c. what connections can you make between the linear growth of the group’s membership and the increasing costs of running meetings?

Gretchen is setting up for a banquet. she has 300 chairs and needs to distribute them evenly among t tables. how many chairs should she put at each table? write your answer as an expression.

What is the order of magnitude for the number of liters in a large bottle of soda served at a party