An airplane's velocity with respect to the air is 580 miles per hour, and it is heading n 60 degrees w. the wind, at the altitude of the plane, is from the southwest and has a velocity of 60 miles per hour. draw a figure that gives a visual representation of the problem. what is the true direction of the plane, and what is its speed with respect to the ground?

An office supply company conducted a survey before marketing a new paper shredder designed for home use. in the survey, 80 % of the people who tried the shredder were satisfied with it. because of this high satisfaction rate, the company decided to market the new shredder. assume that 80 % of all people are satisfied with this shredder. during a certain month, 100 customers bought this shredder. find the probability that of these 100 customers, the number who are satisfied is 69 or fewer.