Cucumbers grown on a certain farm in Roswell, New Mexico, have weights that are uniformly distributed over a range of 3 ounces and a mean of 5 ounce. What is the probability that a randomly selected cucumber

weighs more than 6.5 ounces?

0.00

0.25

0.333

0.167

In the coordinate plan (-6,9) b (3,9) c (3,3) def is shown in the coordinate plan below

The square pyramid has a volume of 441 cubic inches. what is the value of x? 1/7x is the height x is the base

Suppose we have a set of small wooden blocks showing the 26 letters of the english alphabet, one letter per block. (think of scrabble tiles.) our set includes 10 copies of each letter. we place them into a bag and draw out one block at a time. (a) if we line up the letters on a rack as we draw them, how different ways coukl we fill a rack of 5 letters? (b) now suppose we just toss our chosen blocks into a pile, and whenever we draw a letter we already have, we put it back in the bag and draw again. how many different piles of 5 blocks could result? possible? piles will contain at least one repeated letter? (c) if we draw out 5 blocks wit hout looking at them, how many different piles are (d) if we draw out 5 blocks without looking at them, how many of the possible 2. (4) consider the following formula. 12 give two different proofs, one using the factorial formulas and the other combina torial.