Evan has a points card for a movie theater. • He receives 40 rewards points just for signing up.
He earns 6.5 points for each visit to the movie theater.
• He needs at least 230 points for a free movie ticket.
.
Which inequality can be used to determine v, the minimum number of visits Evan
needs to earn his first free movie ticket?

You are constructing a histogram for scores that range from 70 to 100 in whole points. frequencies range from 3 to 10; that is, every whole-point score between 60 and 100 occurs at least 3 times, and at least one score occurs 10 times. which of these would probably be the best range and size for the score intervals along the x-axis?

Match each statement with its corresponding value for the system below: y = -2(3)x and y = 9x - 2 1. the number of points of intersection. -2 2. the x-coordinate of the solution. 1 3. the y-coordinate of the solution. 0

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.