Density word problems
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Hot air is less dense than cool air, so hot air will rise above cool air. Increasing the air temperature inside a hot air
balloon makes it lighter than the surrounding air, so the balloon can lift up. The density of hot air is about
0.25 kg/mº less than that of cool air, which means a cubic meter of hot air can lift about 0.25 kg.
What is the minimum volume of hot air needed to lift a hot air balloon carrying 500 kg?
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Solve for n. round to the tenths place, if necessary. 14.2 cups of flour6 loaves of bread= 20 cups of flour n

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)