Which mathematical concepts were the result of the work of René Descartes? Check all that apply.

theory of an Earth-centered universe
formula for the slope of a line
Pythagorean theorem for a right triangle
problem solving by solving simpler parts first
Cartesian plane for graphing
trusting previous teachers for knowledge

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.