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?

Acylinder has volume 45π and radius 3. what is it’s height?

Expresa commuter train leaves downtown sation and travels at a average speed of 55 miles per hour towards the north side sation, which is 50miles away. thirty minutes later, express commuter train #7 leaves north side and travels at a average speed of 35miles per hour towards downtown sation. at the moment the two trains pass each other, how far(in miles) is train #12 from the downtown sation and how long(in minutes) has the #12 train been traveling

In the diagram, a building cast a 35-ft shadow and a flagpole casts an 8-ft shadow. if the the flagpole is 18 ft tall, how tall is the building? round the the nearest tenth.