The probability distribution of the random variable x represents the number of hits a baseball player obtained in a game for the 2012 baseball season. x 0 1 2 3 4 5 upper p (x )0.1664 0.3302 0.2933 0.1485 0.0369 0.0247 the probability distribution was used along with statistical software to simulate 25 repetitions of the experiment (25 games). the number of hits was recorded. approximate the mean and standard deviation of the random variable x based on the simulation. the simulation was repeated by performing 50 repetitions of the experiment. approximate the mean and standard deviation of the random variable. compare your results to the theoretical mean and standard deviation. what property is being illustrated?

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.