Normal approximation of the sampling distribution of a sumsuppose that the expected number of phone calls that are handled by a switchboard in each second is 5.35. assume that the distribution of the number of phone calls per second follows the poisson distribution. tasks 10-12 refer to this information. question 10the number of phone calls that the switchboard is expected to handle in 1 minute is question 11the 0.80-percentile of the number of calls per minute is (approximately) equal to: (use the normal approximation. the answer may be rounded up to 3 decimal places of the actual value.) ? question 12the probability that the switchboard will need to handle no more than 300 call in a minute is: (use the normal approximation, without a continuity correction. the answer may be rounded up to 3 decimal places of the actual value.)

(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

i believe the answer is the polygon, heptagon.