8.05 exam 1- find the rectangular coordinates of the point with the polar coordinates (3, 5pi/3) 2- find all polar coordinates of point p where p = (7, pi/3) 3- find the rectangular coordinates of the point with the polar coordinates (1, 1/2 pi) 4- determine two pairs of polar coordinates for the point (5, -5) with 0° ≤ θ < 360°. 5- use your grapher to determine which of the graphs matches the polar equation r = 4 cos 3θ. 6- find all polar coordinates of point p = (6, 31°). (show all work)

Airline passengers arrive randomly and independently at the passenger-screening facility at a major international airport. the mean arrival rate is 10 passengers per minutes. compute the following probabilities. p(x = 4) p(x > 11)

Which of the following expressions are equivalent ?

The table shows population statistics for the ages of best actor and best supporting actor winners at an awards ceremony. the distributions of the ages are approximately bell-shaped. compare the z-scores for the actors in the following situation. best actor best supporting actor muequals42.0 muequals49.0 sigmaequals7.3 sigmaequals15 in a particular year, the best actor was 59 years old and the best supporting actor was 45 years old. determine the z-scores for each. best actor: z equals best supporting actor: z equals (round to two decimal places as needed.) interpret the z-scores. the best actor was (more than 2 standard deviations above more than 1 standard deviation above less than 1 standard deviation above less than 2 standard deviations below) the mean, which (is not, is) unusual. the best supporting actor was (less than 1 standard deviation below more than 1 standard deviation above more than 2 standard deviations below more than 1 standard deviation below) the mean, which (is is not) unusual.