There are 4 green and 50 red apples in a basket. they are removed one-by-one, without replacement, until all 4 green ones are extracted. what is the expected number of apples that will be left in the basket?

If you have 12 feet of string and you cut it into equal length of 5 inches each how much string will be left

1. an economy consists of three workers: larry, moe, and curly. each works 10 hours a day and can produce two services: mowing lawns and washing cars. in an hour, larry can either mow one lawn or wash one car; moe can either mow one lawn or wash two cars; and curly can either mow two lawns or wash one car. a. calculate how much of each service is produced under the following circumstances: a. all three spend all their time mowing lawns. b. all three spend all their time washing cars. c. all three spend half their time on each activity d. larry spends half of his time on each activity, while moe only washes cars and curly only mows lawns b. using your answers to part a, draw a production possibilities frontier and label points a, b, c, and d on your graph. explain why the production possibilities frontier has the shape it does. c. are any of the allocations calculated in part a inefficient? explain.

The height, h, of a cylinder is 5 units less than 3times its radius, r. which expression represents the height of the cylinder in terms of its radius