Fatouma is lifting weights over a 10-week training period. Every week, she lifts 2 kg
more than she lifted the previous week.
During the tenth week, she lifts 120 kg.
What mass did she lift during the first week?

The area of a square floor on a scale drawing is 64 square centimeters, and the scale drawing is 1 centimeter: 3 ft. what is the area of the actual floor? what is the ratio of the area in the drawing to the actual area? the area of the actual floor is square feet. the ratio of the area in the drawing to the actual area is 1 square centimeter: square feet.

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)

The weekly amount spent by a company for travel has an approximately normal distribution with mean = $550 and standard deviation = $40. a) what is the probability that the actual weekly expense will exceed $570 for more than 20 weeks during the next year? (note: one year = 52 weeks) b) what is the probability that actual weekly expenses exceed $580 for 10 or more, but 16 or fewer weeks during the next year?