As a measure of intelligence, mice are timed when going through a maze to reach a reward of food. the time (in seconds) required for any mouse is a random variable y with a density function given by f(y) = b y2 , y ≥ b, 0, elsewhere, where b is the minimum possible time needed to traverse the maze. (a) show that f(y) has the properties of a density function.

What are the relative frequencies, to the nearest hundredth, of the rows of the two-way table? group 1: a 15 b 45 group 2: a 20 b 25

Astudent draws two parabolas on graph paper. both parabolas cross the x-axis at (-4, 0) and (6,0). the y-intercept of thefirst parabola is (0, –12). the y-intercept of the second parabola is (0-24). what is the positive difference between the avalues for the two functions that describe the parabolas? write your answer as a decimal rounded to the nearest tenth.

Find the least common multiple of the expressions: 1. 3x^2, 6x - 18 2. 5x, 5x(x +2) 3. x^2 - 9, x + 3 4. x^2 - 3x - 10, x + 2 explain if possible