The liquid chlorine added to swimming pools to combat algae has a relatively short shelf life before it loses its effectiveness. records indicate that the mean shelf life of a 5-gallon jug of chlorine is 2,160 hours (90 days). as an experiment, holdlonger was added to the chlorine to find whetehr it would increase the shelf life. a sample of nine jugs of chlorine had hese shelf lives (in hours):

2159, 2170, 2180, 2179, 2160, 2167, 2171, 2181, 2185

at the .025 level, has holdlonger increased the shelf life of the chlorine? (estimate the p-value). show your detailed work.

(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

sas (side angle side)

aa (angle angle)

sss(side side side)

sas find two sides with an angle in between

aa is finding two angles and the third will add up to 180

sss find all sides

step-by-step explanation: