Arandom sample of 78 eighth grade students' scores on a national mathematics assessment test has a mean score of 284. this test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 275. assume that the population standard deviation is 32. at α=0.04, is there enough evidence to support the administrator's claim a) h0: μ≤275 ha: μ> 275(claim) b) find the standarized test statistic z and its corresponding area c) find the p value d) describe whether to reject or fail the null hypothesis e) interpret your decision in the context of the original claim

Which equation expression the relationship between the number of boxes b and the number of cans c and the proportion is 48

The median am of triangle ∆abc is half the length of the side towards which it is drawn, bc . prove that triangle ∆abc is a right triangle, and find angle mac and abm

The school track has eight lanes. each lane is 1.25 meters wide. the arc at each end of the track is 180. the distance of the home straight and the radii for the arcs in the 1st 4 lanes are given. s=85m r1=36.5m r2=37.75m r3=39m r4=40.25m part one: find the radii of lanes 5 through 8 of the track. show your work. part two: if max ran around lane one, how far did he run? show your work and explain your solution. part three: max wants to run a total of three laps around the track, choose two additional lanes (2-8) for him to run and find the distance around those two lanes. show your work and round to the hundredths. part 4: based on your lane choices in part three, what was the total distance max ran in the three laps around the track?