Mathematics - Liberal Arts Math Quizlevel5

1

The reason that multiplication comes before addition in the established order of operations is:

2

Solve the proportion: x/6=5/2

3

The diameter of a circle is 8 inches. What is the area?

4

Use Kruskal's algorithm to find minimal spanning tree and find its weight.

5

Determine whether the graph is neither forest nor tree.

6

Determine whether the graph is a tree, a forest, or neither.

7

Determine whether the graph is a forest or not.

8

Determine whether the graph is a tree or not.

9

Determine the length of the indicated path or circuit.

10

Determine the length of the indicated path when X = 7.

11

Determine whether the sequence of edges [a, e, d, b, c] represents a Hamilton path, a Hamilton circuit, or neither.

12

Determine whether the sequence of edges [a, b, c, d, e] represents a Hamilton path, a Hamilton circuit, or neither.

13

Determine whether the sequence of edges [a, e, d, b, c] represents a Hamilton path, a Hamilton circuit, or neither.

14

Use the traversability rules to determine whether the following graph has an Euler path, an Euler circuit, or neither. You do not need to actually find the path or the circuit.

15

Which graph has a Euler circuit?

16

Determine whether the sequence of edges [a, b, c, d, e] is an Euler path, an Euler circuit, or neither.

17

Determine whether the sequence of edges [a, e, d, b, c] is an Euler path, an Euler circuit, or neither.

18

Determine whether the sequence of edges [a, c, b, d, e] is an Euler path, an Euler circuit, or neither.

19

Determine whether the graph pictured is simple.

20

Determine whether the following graph is complete.

21

Find the sum of the degrees of the vertices in the graph below.

22

What is the degree of the vertex C in the following graph.

23

What is the degree of the vertex A in the following graph.

24

A university system has a total of 40 new computers to distribute to each of its three campuses. After preregistration, the enrollment at each of the campuses was the value shown in second column of the table below together with the apportionment of the computers in the third column according to the Hamilton method. Final enrollment at each of the campuses is shown in the fourth column of the table with the percent increase in enrollment over the preregistration values in the fifth column. Determine whether a population paradox will occur in the reapportionment of the computers according to final enrollments. If it does, which campus loses a computer in the reapportionment?

25

A correctional facility firm has hired a total of 119 new prison guards to send to its four correctional facilities. The number of inmates at each of the facilities is listed in the table below together with its apportionment according to the Hamilton method. If the firm decides at the last minute to hire one more guard, determine whether the Alabama paradox will occur in the reapportionment of the guards. If it does, which facility loses a guard in the reapportionment?

26

Three Greek letter societies α, β and γ, have the numbers of members has shown in the table. If Hamilton's method is used to apportion seats in the Pan Hellenic Council, does the Alabama Paradox occur if the number of seats is increased from 30 to 31?