What is the maximum value of p = 24x + 30y, given the constraints on x and y listed below?

Based on the diagram, match the trigonometric ratios with the corresponding ratios of the sides of the triangle. tiles : cosb sinb tanb sincposs matches: c/b b/a b/c c/a

Analyze the solution below. 7 3 x = −2 7 3 x(3 7 ) = −2(3 7 ) x = − 6 7 what property was used to solve the equation? property of opposites division property of equality addition property of equality multiplication property of equality

The random variable x has probability density function f (x) = k(−x²+5x−4) 1 ≤ x ≤ 4 or =0 1 show that k = 2/9 find 2 e(x), 3 the mode of x, 4 the cumulative distribution function f(x) for all x. 5 evaluate p(x ≤ 2.5). 6 deduce the value of the median and comment on the shape of the distribution.