The school band is selling candy to raise $1,800.00 to pay for their trip to a band festival. The band earns $1.50 from every box of candy sold. Kayla solved the inequality 150 x greater-than-or-equal-to 1,800 to find the number of boxes the band must sell to meet their goal. She graphed her solution on a number line and interpreted the solution to mean the band will meet their goal if they sell fewer than 12 boxes. A number line going from 6 to 16. A closed circle is at 12. Everything to the right of the circle is shaded. What errors did she make? Select two options. She used the wrong coefficient for x in her inequality. She should have used the less than or equal to symbol instead of the greater than or equal to symbol. She interpreted the graph incorrectly. She graphed a solution set that does not match her inequality. The graph should have an open circle at 12.

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.