Jeremy purchases a rectangular canvas to paint a portrait. the canvas has a length of (4x + 5) inches and a width of (x + 10) inches. he paints a black border around the edge of the canvas, which has an area of (x2 + 5x + 4) square inches. how much area is available for jeremy to paint the portrait?

Thompson and thompson is a steel bolts manufacturing company. their current steel bolts have a mean diameter of 127 millimeters, and a variance of 36. if a random sample of 35 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 0.5 millimeters? round your answer to four decimal places.