Let A and B be sets with |A| = 10 and |B| = 7. What can we say about |A ∪ B|? In particular, find two numbers x and y for which we can be sure that x ≤ |A ∪ B| ≤ y and then find specific sets A and B so that |A ∪ B| = x and another pair of sets so that |A ∪ B| = y.

Point r divides in the ratio 1 : 3. if the x-coordinate of r is -1 and the x-coordinate of p is -3, what is the x-coordinate of q? a. b. 3 c. 5 d. 6 e. -9

Ateacher brought a pack of 17 batteries . each calculator uses 3 batteries . how many calculator can the teacher fill with batteries

Assume that there is a 11% rate of disk drive failure in a year. a. if all your computer data is stored on a hard disk drive with a copy stored on a second hard disk drive, what is the probability that during a year, you can avoid catastrophe with at least one working drive? b. if copies of all your computer data are stored on four independent hard disk drives, what is the probability that during a year, you can avoid catastrophe with at least one working drive?