Many track runners believe that they have a better chance of winning if they start in the inside lane that is closest to the field. for the data below, the lane closest to the field is lane 1, the next lane is lane 2, and so on until the outermost lane, lane 6. the table displays the starting positions for the winners of 240 competitions. calculate the chi-square test statistic x2 used to test the claim that the probability of winning is the same regardless of starting position.

starting position 1 2 3 4 5 6

number of wins 33 44 32 36 45 50

a.12.592

b.15.541

c.9.326

d.6.750

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

c

step-by-step explanation:

you have to put the graph on here with the question

step-by-step explanation:

step-by-step explanation: