A florist has 56 roses and 70 carnations to make table centerpieces. He wants to put an equal number of roses and carnations into each centerpiece. Use the drop-down menus to complete the statements below about the number of centerpieces the florist can make if he uses all the flowers.

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.