A manufacturer knows that their items have a normally distributed length, with a mean of 17.4 inches, and standard deviation of 3.6 inches.

If 4 items are chosen at random, what is the probability that their mean length is less than 18.6 inches?

Three numbers x, y, and z are in the ratio 2: 7: 8. if 12 is subtracted from y, then three numbers form a geometric sequence (in the order x, y–12, z). find x, y, and z. there are 2 sets.

Mrs. avila is buying a wallpaper border to go on all of her kitchen walls. she wants to buy 5 extra feet of wallpaper border than she needs to be sure she has enough. she buys 55.5 feet of the border. the store owner selling the border uses the width of mrs. avila's kitchen to determine that the length of her kitchen must be 14.5 feet.

Line wx is parallel to line yz. if m