Alice and bob plan to meet, and each of them will arrive at a random time between 1: 00pm and 2: 00pm. write the sample space for the pair of arrival times of alice and bob. express the event a in which alice arrives before bob. express the event b in which they arrive within half an hour of each other (i. e. the difference between their arrival times is less that half an hour).

To keep cylindrical tanks from tipping over, a designer is planning to enlarge the original area of the base by 50%. the new tank should have the same volume as the original. how should the designer change the height of the tank? a: make it 50% taller than the height of the original tank. b: make it 6623% taller than the height of the original tank c: make it 3313% shorter than the height of the original tank d: make it 50% shorter than the height of the original tank.