Renee hiked for 7 3/4 miles. After resting, Renee hiked back along the same route for 6 1/4 miles. How many more miles does Renee need to hike to return to the place where she started? Represent your answer as a simplified mixed number, if necessary.

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.