In the duke versus miami football game, possessions alternate between duke who has the ball for an average of 2 minutes and miami who has the ball for an average of 6 minutes. (a) in the long run what fraction of time does duke have the ball? (b) suppose that on each possession duke scores a touchdown with probability 1/4 while miami scores with probability one. on the average how many touchdowns will they score per hour?

Of four points are collinear, they are also coplanar

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?

Water flows at a steady rate from a tap. its takes 40 seconds to fill a 4 litre watering can from the tap. the rate at which water flows from the tap is halved. complete: 4 litres into cm3