Determine whether the following variable is qualitative or quantitative. the yes/no responses on a ballot initiative to the question "should the school day be made shorter question? " choose the correct answer below. a. the variable is qualitative because a voter's response on a ballot initiative depends on his or her opinions. b. the variable is quantitative because the yes and no responses can be counted to determine the outcome of the initiative. c. the variable is qualitative because yes/no responses on a ballot initiative are nonnumerical categories. d. the variable is quantitative because it is possible to count the number of responses and check that each voter gave only one.

Given: f(x) = 2x + 5 and g(x) = x2 and h(x) = -2x h(g(f( = x2+ vx+ x + y

Which inequality has a dashed boundary line when graphed ?

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.