Maria is shopping for party supplies. She finds that paper plates come in packages of eight, napkins come in packages of 10, and paper cups come in packages of 12, what is the least number of packages of plates napkins and cups she has to buy so that she has the same number of each Item for her birthday party.

There is a line with slope 1/a going through the point (a, a²). find the equation of the line perpendicular to this line at this point. (don’t let this problem intimidate you! solve the problem as you would if i’d given you specific values. just use variables instead.)

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?

Ineed here’s a picture of the question