Suppose there are 100 people at airport security, 45 passengers were flying to Dallas of which 30 were men. 55 Passengers were flying to Portland of which 12 where men. a. What is the probability that a randomly selected person is a man flying to Dallas?
b. Are the events flying to Dallas' and being a man' independent events? Explain.
c. Are the events 'flying to Dallas' and being a man' mutually exclusive events? Explain.

Look at this system of equations. -3x + 3y = 12 y = x + 4 the solution set of this system is best explained by which of these statements? a) the graphs of the equations are the same line because the equations have the same slope and the same y-intercept. the system has infinitely many solutions. b) the graphs of the equations are parallel lines because they have the same slope but different y-intercepts. the system has no solution. c) the graphs of the equations are lines that intersect at one point because the equations have the same slope but different y-intercepts. the system has exactly one solution. d) the graphs of the equations are lines that intersect at one point because the equations have the same slope and the same y-intercept. the system has exactly one solution.