The wait times in the drive-thru of a local coffee shop are Normally distributed, with a mean of 4.3 minutes and a standard deviation of 0.9 minutes. Use the z-table to answer the question.

What wait time is the 12th percentile of the wait times?

2.55 minutes
3.24 minutes
3.45 minutes
4.04 minutes

The 12th percentile is found on the LEFT of the graph since it is 0.12.

Since it’s on the left, the percentage will be NEGATIVE.

The z-score is -1.175

(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

it is contrapositive

i could not see the question too well so check yourself again too . this is because i want you to get it correct.