A random line segment of length D is chosen on a plane marked with an infinite checkerboard grid (i. e., a unit side length square grid). What length D maximizes the probability that the segment crosses exactly one line on the checkerboard grid, and what is this maximal probability?

Acoffee shop orders at most $3,500 worth of coffee and tea. the shop needs to make a profit of at least $1,900 on the order. the possible combinations of coffee and tea for this order are given by this system of inequalities, where c = pounds of coffee and t = pounds of tea: 6c + 13t ≤ 3,500 3.50c + 4t ≥ 1,900 which graph's shaded region represents the possible combinations of coffee and tea for this order?