Organic grains llc uses statistical process control to ensure that its health-conscious, low-fat, multigrain sandwich loaves have the proper weight. based on a previously stable and in-control process, the control limits of the x overbar- and r-charts are: ucl subscript x overbar = 4.93, lcl subscript x overbar = 4.45; ucl subscript upper r = 0.459, lcl subscript upper r = 0. over the past few days, they have taken five random samples of four loaves each and have found the following: net weight sample loaf # 1 loaf # 2 loaf # 3 loaf # 4 1 5.2 5.1 5.2 5.3 2 4.7 4.6 4.7 4.7 3 4.4 4.1 4.4 4.1 4 4.7 5.0 4.8 4.6 5 4.5 4.4 4.5 4.2 based on the x overbar-chart, is one or more samples beyond the control limits? yes . based on the r-chart, is one or more samples beyond the control limits? yes .

Graph the line with the given slope m and y-intercept b. m=-3,b=1

Aking and his army will attempt to capture a fortress. the left and right flanks break off from the main group to attack the west and east guard towers. suppose the left flank has a 60% chance of success and the right flank has a 75% chance of success, independently of one another. if both flanks capture their respective targets, then the king has a 98% chance of successfully taking the fort. if, however, only the left flank captures its tower, the king has an 80% chance of success; if only the right flank succeeds, the king has a 50% chance. if both flanks fail, then the king's chance of capturing the fort drops to 20%. it turns out the king captures the fort. what is the probability that one, and only one, flank was successful (either the left, or the right, but not both)? (round your answer to 3 decimal places)

Sate why the measure of angle d is 120 degrees