Let . Are the events F and G mutually exclusive? Write the equation in the slope-intercept form and then find the slope and y-intercept of the corresponding line. The following breakdown of a total of 18,686 transportation fatalities that occured in 2007 was obtained from records compiled by the U.S. Department of Transportation (DOT). What is the probability that a victim randomly selected from this list of transportation fatalities for 2007 died in a train or a plane accident? Round answer to two decimal places. Determin whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. Find all solutions whenever they exist. one and only one solution one and only one solution one and only one solution infinitely many solutions Maximize P= 10x + 12y subject to Find the pivot element to be used in the next iteration of the simplex method. Check that the given simplex tableau is in final form. Find the solution to the associated regular linear programming problem. Write the fllowing set in builder notation form In a poll conducted among 180 active investors, it was found that 100 use discount brokers, 122 use full-service brokers, and 54 use both discount and full-service brokers. How many investors use only discount brokers? Indicate whether the matrix is in row-reduced form. Solve the system of linear equations using the Gauss-Jordan elimination method. 8. Metro Department Store’s annual sales (in millions of dollars) during 5 years were Plot the annual sales (y) versus the year (x) and draw a straight line L through the points corresponding to the first and fifth years and derive an equation of the line L. Use Venn diagrams to illustrate the statement. y = x + y = x – y = -x – y = -x + Solve the linear system of equations Unique solution: Unique solution: Infinitely many solutions: Solve the linear programming problem by the simplex method.