The coordinates of points A and B are (3, 1) and (-6,-5) respectively, P is a point on the straight
line AB such that AP=2PB. A straight line with a
gradient of -2 is drawn such that it passes through
the point P. Find the equation of the straight line.

Assume that the weights of quarters are normally distributed with a mean of 5.67 g and a standard deviation 0.070 g. a vending machine will only accept coins weighing between 5.48 g and 5.82 g. what percentage of legal quarters will be rejected? round your answer to two decimal places.

Stephen thublin invests $1,000,000 in a 45-day certificate of deposit with 6.55% interest. what is the total interest income from the investment?

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