Elizabeth brought a box of doughnuts to share. there are two-dozen (24) doughnuts in the box, all identical in size, shape and color. five are jelly-filled, 5 are lemon filled, and 14 are custard-filled. you randomly select one doughnut, eat it, and select another doughnut. find the probability of selecting two jelly-filled doughnuts in a row.

Aswimming pool has an input pump for filling the pool and an output pump for emptying the pool. the input pump can fill the pool in 3 hours, and the output pump can drain the pool in 5 hours. as you go to bed, the pool is full, but a neighbor’s kid turns on the output pump. at midnight, you awake to find the pool half empty. immediately, you turn on the input pump, but you are sleepy and forget to turn off the output pump. at what time will the pool become full?

Which of these tables represents a non-linear function?

Prove that the value of the expression 7^8–7^7+7^6 is divisible by 43.