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a baker has modeled the monthly operating costs for making wedding cakes by the function y=0.5x^2 - 12x + 150, where the monthly operating costs in dollars and x is the number of cakes prepared.

a. what is the minimum cost?

b. how many cakes should be prepared each month to yield the minimum cost?

What is the length and width of a 84.5 square foot rug? will mark

John kept track of how many baskets were made in a basketball game. after 4 minutes, 5 baskets were made. how many baskets were made between 9 and 10 minutes? a. 0 b. 1 c. 2 d. 3

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)