Eric starts with 10 milligrams of a radioactive substance. the amount of the substance decreases by 12 each week for a number of weeks, w. he writes the expression 10(12)w to find the amount of radioactive substance remaining after w weeks. andrea starts with 1 milligram of a radioactive substance. the amount of the substance decreases by 20% each week for a number of weeks, w. she writes the expression (1? 0.2)w to find the amount of radioactive substance remaining after w weeks. use the drop-down menus to explain what each part of eric's and andrea's expressions mean.

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)