Jorge works at a dairy farm that ships eggs to restaurants. jorge decides to try new packaging for the eggs to see if it results in fewer broken eggs. jorge packs a random sample of 8 shipments with the current packaging and a random sample of 8 shipments with the new packaging. he collects data from the restaurants on the number of broken eggs in each shipment. current packaging: 5, 9, 4, 4, 5, 5, 7, 4 new packaging: 3, 6, 6, 3, 5, 5, 6, 5 the means are 5.375 and 4.875 respectively, for a difference of 0.5. jorge wants to know if this is significant or if it could be caused by chance. to find out, he re-randomizes the results 12 times and finds the differences of the means. the dot plot shows the data. what is the best conclusion for jorge to make based on the data?

Runners run around the school's football field. the cross country coach determines that the width of the field is seventy yards shorter than the length. part a write an expression that represents the perimeter of the football field. let x represent the length of the football field. include parentheses in your expression. next, write an equivalent expression that does not include parentheses. what property or properties did you use to simplify? explain. part b the cross country coach later determines that the length of the football field is 120 yards. all students must run five laps. using your answer from part a, determine the actual number of yards that each athlete must run in the tryouts. in order to make the team, students must complete the laps in 6 minutes. how quickly must they run each lap?