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Radius of the wider can ●●○○○ 20 ptsTwo cylindrical cans have the same volume. The height of one can is triple the height of the other. If the radius of the narrower can is 12 units, find the radius of the wider can in units. Round to two decimal places.
Range of a five-integer set ●●○○○ 20 ptsA set of five positive integers has mean 5, median 5, and 8 as its only mode. What is the difference between the largest and smallest integers in the set?
Trash can unit prices and minimum type A quantity ●●○○○ 20 ptsA community buys two models of trash cans, A and B. Buying 3 type-A and 4 type-B cans costs a total of $580, and buying 6 type-A and 5 type-B cans costs a total of $860. (1) Find the unit price of a type-A can and of a type-B can. (2) A total of 200 cans of types A and B are needed, and the total cost must not exceed $15000. What is the least number of type-A cans that should be purchased?
Greatest integer after adding four ●●●○○ 50 ptsFour integers are added to the group of integers 3, 4, 5, 5 and 8. As a result, the mean, the median and the mode of the data each increase by 1. What is the greatest integer in the new group of integers?
Rebid probability for close bids ●●●○○ 50 ptsTwo construction companies make bids $X$ and $Y$ on a remodeling project. The joint density of $X$ and $Y$ is uniform on the rectangle $2<x<2.5$ , $2<y<2.3$ . If $X$ and $Y$ are within 0.1 of each other, the companies are asked to rebid; otherwise the lower bidder gets the contract. Find the probability that the companies are asked to rebid. Round to two decimal places.