Very happy fairly happy fairly unhappy very unhappy total
male 501 619 287 103 1510
female 349 620 116 99 1184
total 850 1239 403 202 2694

the table shows results from a survey for married adults classified by gender and level of happiness. for these subjects, are the events being very happy and being a female independent?
a) yes; p(female) = p(very happy|female)
b) yes; p(female) = p(female|very happy)
c) no; p(female) ≠ p(very happy|female)
d) no; p(very happy) ≠ p(very happy|female)

For what values of the variable x is the expression square root of 7x+14+ square root of 7-x a real number?

At the county fair, the baxter family bought 6 hot dogs and 4 juice drinks for $12.90. the farley family bought 3 hot dogs and 4 juice drinks for $8.55. find the price of a hot dog and the price of a juice drink.

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?