Two students collected data on random baseball player run-times. players were required to run 50 yards and were timed in seconds (pitchers did not have to run). assume that the distribution of each population (outfielders, infielders, catchers) is close enough to normal to satisfy the normal condition for using anova. test the hypothesis that different positions have different mean run-times, using a significance level of alpha= 0.05. click the icon to view the run times. let mu out represent the mean outfielder run time, let gin represent the mean infielder run time, and let goat represent the mean catcher run time. determine the null and alternative hypotheses. what is the test statistic? f = (round to two decimal places as needed.)

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8

step-by-step explanation:

a

step-by-step explanation: