If AUC-BUC, then ( A A-C-B-C BC-A-C-B C ANB-ANC D A-B

Hello, were you able to answer both parts a and b? I am kind of confused about which part is what.

If A, B, and C are mutually independent, does A and (BNC) mutually independent?

Let A = {a, b, c}, B = {b, c, d}, and C = {b, c, e}.

Consider a family with a mother, father, and two children. Let A1 = {mother has influenza}, A2 = {father has influenza}, A3 = {first child has influenza}, A4 = {second child has influenza}, B = {at least one child has influenza}, C = {at least one parent has influenza}, and D = {at least one person in the family has influenza}.1 What does A1 ∪ A2 mean? 2 What does A1 ∩ A2 mean? 3 Are A3 and A4 mutually exclusive? 4 What does A3 ∪ B mean? 5 What does A3 ∩ B mean? 6 Express C in terms of A1, A2, A3, and A4. 7 Express D in terms of B and C. 8 What does ?̅1 mean? 9 What does ?̅2 mean?

In a digital circuit, what will be the output of an OR gate that has 4 inputs, in which, one input is high and the other three are low? a. High or law depending on relative magnitudes of inputs b. Alternatively high and low c. Low d. High

The port of Lajitas has three loading docks. The distance (in meters) between the loading docks is given in the following table. Tanker 1 Three tankers currently at sea are coming into Lajitas. It is necessary to assign a dock for each tanker. Also, only one tanker can anchor in a given dock. Currently, ships 2 and 3 are empty and have no cargo. However, ship 1 has cargo that must be loaded onto the other two ships. The number of tons that must be transferred are as follows. Tanker 2 Tanker 3 2 3 10 100 150 100 0 50 3 150 50 0 Dock 1 1 2 Dock 2 Dock 3 Formulate and solve an optimization problem with binary decision variables (where 1 means an assignment and 0 means no assignment) that will assign ships to docks so that the product of tonnage moved times distance is minimized. There are 12 nonzero terms in the objective function. (Hints: This problem is an extension of the assignment problem introduced in Chapter 6. Also, be careful with the objective function. Only include the nonzero…

If u = (-9, -3) and w = (3,-1), find u- 5w. – Select the correct answer below: O (-6, -2) O (0, -2) O (-18, -4) (0,4) O (-6,-4) O (-18,4)