Answer:
D
Step-by-step explanation:
We can first eliminate options A and B because they are both negative slopes and the graph shown is an increasing slope, meaning the answer is positive.
Next, we calculate the slope with the formula (y2 - y1) / (x2 - x1) to get 1/4.
1/4 is the slope.
Put the coordinates of the point in for x, y, and z and see what the new constant is.
Your plane is
5x +4y +2z = -31
Answer:
a) 12/25
b) 1/25
c) 12/25
Step-by-step explanation:
a) The first order can go anywhere, so it has 5 possibilities out of 5. The second order can go to any distributor except the one that got the first order, so it has 4 possibilities out of 5. The third order may go to any of the 3 remaining distributors, giving us 3 chances out of 5. So the probability is 5/5*4/5*3/5 = 12/25
b) The first order, again, can go anywhere, so it has 5 out of 5. The second and third order have to go to the same distributor, so, in each case, we have only 1 option available out of 5. The probability of this event is 5/5*1/5*1/5 = 1/25
c) This event is the complementary event of the union of the other 2 events the exercise has. If neither the same distributor got all 3 orders non all orders go to different distributors, then necessarily one distributor should got 2 orders and other 1. The probability of this event is, therefore 1-12/25-1/25 = 12/25.
