A coin is flipped and a six-diced die is rolled. What is the probability that the coin lands heads and the die shows four or more? (Hint: define A to be the event ‘coin lands heads’ and B to be the event ‘die shows four or more’. A and B are independent events, since the coin flip has nothing to do with the coin toss. The probability that both events will occur is the product of the two individual probabilities.)

(a) 0.5

(b) 1

(c) 0.25

(d) 0.75

(e) none of the above

What is the slope of the line that contains the points (-2,1) and (0,-3)

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?

Which ordered pair is a solution of the equation? 2x+3y=10