For which set of probabilities would events a and b be independent?
a) p(a) = 0.20; p(b) = 0.20; p(a and b) = 0.4
b) p(a) = 0.08; p(b) = 0.40; p(a and b) = 0.20
c) p(a) = 0.16; p(b) = 0.24; p(a and b) = 0.08
d) p(a) = 0.30; p(b) = 0.20; p(a and b) = 0.06

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

Evaluate the discriminant of each equation. tell how many solutions each equation has and whether the solutions are real or imaginary. x^2 + 4x + 5 = 0

Create a graph for the demand for starfish using the following data table: quantity/price of starfish quantity (x axis) of starfish in dozens price (y axis) of starfish per dozen 0 8 2 6 3 5 5 2 7 1 9 0 is the relationship between the price of starfish and the quantity demanded inverse or direct? why? how many dozens of starfish are demanded at a price of five? calculate the slope of the line between the prices of 6 (quantity of 2) and 1 (quantity of 7) per dozen. describe the line when there is a direct relationship between price and quantity.