Kay's mother taught her how to make handmade ornaments to sell at a craft fair. kay rented a table at the fair for $30 and set up her work station. each ornament that she makes costs approximately $2.50 for materials. she sells each ornament for $6.00. if x represents the number of ornaments sold at the craft fair, which of the following expression would represent kays profit?

Aking and his army will attempt to capture a fortress. the left and right flanks break off from the main group to attack the west and east guard towers. suppose the left flank has a 60% chance of success and the right flank has a 75% chance of success, independently of one another. if both flanks capture their respective targets, then the king has a 98% chance of successfully taking the fort. if, however, only the left flank captures its tower, the king has an 80% chance of success; if only the right flank succeeds, the king has a 50% chance. if both flanks fail, then the king's chance of capturing the fort drops to 20%. it turns out the king captures the fort. what is the probability that one, and only one, flank was successful (either the left, or the right, but not both)? (round your answer to 3 decimal places)