A mathematician says something is wrong with the shading on this graph. What do you think it is?

Mathematics

1 answer:

posledela3 years ago

4 0

Answer:

When we have a black dot in some value, means that the value is included in the set of solutions (associated with the signs ≤ ≥, and with solid lines)

When we have a white dot, means that the value is outside the set of solutions (associated with the signs < > and with dashed lines).

In this case, we can see the solid line across the solid point, but the dashed line does not cross over the white dot, this implies that the white dot belongs to the set of solutions (because is inside the shaded area) so this is an incongruence.

The dashed line should pass over the white dot.

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aev [14]

Answer:

case 2 with two workers is the optimal decision.

Step-by-step explanation:

Case 1—One worker:A= 3/hour Poisson, ¡x =5/hour exponential The average number of machines in the system isL = - 3. = 4 = lJr machines' ix-A 5 - 3 2 2Downtime cost is $25 X 1.5 = $37.50 per hour; repair cost is $4.00 per hour; and total cost per hour for 1worker is $37.50 + $4.00

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$41.50

Case 2—Two workers: K = 3, pl= 7L= r= = 0.75 machine1 p. -A 7 - 3Downtime (0.75 X $25) = S J 8.75Labor (2 workers X S4.00) = 8.00S26.75Case III—Three workers:A= 3, p= 8L= ——r = 5- ^= § = 0.60 machinepi -A 8 - 3 5Downtime (0.60 X $25) = $15.00 Labor (3 workers X $4) = 12.00 $27.00

Comparing the costs for one, two, three workers, we see that case 2 with two workers is the optimal decision.

3 0

3 years ago

Mrs. Chen's students are making and decorating gift boxes for a nursing home. If the boxes are 7 inches wide, 7 inches long, and

pishuonlain [190]

Answer:

$84\text{ in}^2$ .

Step-by-step explanation:

We have been given that Mrs. Chen's students are making and decorating gift boxes for a nursing home. The boxes are 7 inches wide, 7 inches long, and 7 inches high. We are asked to find the amount of cardboard that is needed for each box.

We will use surface area of cuboid formula to solve our given problem.

$SA=2(lw+lh+hw)$ , where,