Apharmaceutical manufacturer forms tablets by compressing a granular material that contains the active ingredient and various fillers. the force in kilograms (kg) applied to the tablets varies a bit, with the n(12.2, 0.2) distribution. the process specifications call for applying a force between 11.5 and 12.5 kg. (a) what percent of tablets are subject to a force that meets the specifications? % (b) the manufacturer adjusts the process so that the mean force is at the center of the specifications, μ = 12 kg. the standard deviation remains 0.2 kg. what percent now meet the specifications?

(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

24

step-by-step explanation:

your answer is

a.

5

step-by-step explanation: