Jim, a quality control manager at an apparel manufacturing company, studies and monitors quality using r-charts. he discovers a quality problem with the construction of zippers. jim proposes that 25 samples of eight observations each be collected on a daily basis. he plans to prepare an r-chart to monitor the variation in the size of the zippers. the data collected shows that the mean length of the zippers is 15 inches and the average range is 0.5 inches. if d 3 for the r-chart is 0.136, the lower control limit (lcl r) for the r-chart will be:

What is the best definition of a conclusion?

Richardson hired j.c. flood company, a plumbing contractor, to correct a stoppage in the sewer line of her house. the plumbing company's 'snake' device, used to clear the line leading to the main sewer, became caught in the underground line. to release it, the company excavated a portion of the sewer line in richardson's backyard. in the process, the company discovered numerous leaks in a rusty, defective water pipe that ran parallel with the sewer line. to meet public regulations, the water pipe, of a type no longer approved for such service, had to be replaced either then or later, when the yard would have to be excavated again. the plumbing company proceeded to repair the water pipe. though richardson inspected the company's work daily and did not express any objection to the extra work involved in replacing the water pipe, she refused to pay any part of the total bill after the company completed the entire operation. j.c. flood company then sued richardson for the costs of labor and material it had furnished. (c) for what, if anything, should richardson be liable? explain."

You speak to a business owner that is taking in almost $2000 in revenue each month. the owner still says that they are having trouble keeping the doors open. how can that be possible? use the terms of revenue, expenses and profit/loss in your answer