Find the apportionment under Hamilton’s method of the Republic of Tropicana legislature described in Exercise 5 . 5. The Republic of Tropicana is a small country consisting of five states ( A , B , C , D , and E ). The total population of Tropicana is 27.4 million. According to the Tropicana constitution, the seats in the legislature are apportioned to the states according to their populations. Table 4 − 25 _ shows each state’s standard quota: T a b l e 4 - 2 5 State A B C D E Standard quota 41.2 31.9 24.8 22.6 16.5 a. Find the number of seats in the Tropicana legislature. b. Find the standard divisor. c. Find the population of each state.
Find the apportionment under Hamilton’s method of the Republic of Tropicana legislature described in Exercise 5 . 5. The Republic of Tropicana is a small country consisting of five states ( A , B , C , D , and E ). The total population of Tropicana is 27.4 million. According to the Tropicana constitution, the seats in the legislature are apportioned to the states according to their populations. Table 4 − 25 _ shows each state’s standard quota: T a b l e 4 - 2 5 State A B C D E Standard quota 41.2 31.9 24.8 22.6 16.5 a. Find the number of seats in the Tropicana legislature. b. Find the standard divisor. c. Find the population of each state.
Solution Summary: The author explains the apportionment under Hamilton's method of the Republic of Tropicana legislature.
Find the apportionment under Hamilton’s method of the Republic of Tropicana legislature described in Exercise 5.
5. The Republic of Tropicana is a small country consisting of five states (A, B, C, D, and E). The total population of Tropicana is
27.4
million. According to the Tropicana constitution, the seats in the legislature are apportioned to the states according to their populations.
Table
4
−
25
_
shows each state’s standard quota:
T
a
b
l
e
4
-
2
5
State
A
B
C
D
E
Standard quota
41.2
31.9
24.8
22.6
16.5
a. Find the number of seats in the Tropicana legislature.
1.
Prove the following arguments using the rules of inference. Do not make use of
conditional proof.
(а) а → (ЪЛс)
¬C
..¬a
(b) (pVq) →
→r
יור
(c) (c^h) → j
¬j
h
(d) s→ d
t
d
-d
..8A-t
(e) (pVg) (rv¬s)
Лѕ
קר .'
The graph of f(x) is given below. Select each true statement about the continuity of f(x) at x = 1.
Select all that apply:
☐ f(x) is not continuous at x = 1 because it is not defined at x = 1.
☐ f(x) is not continuous at x = 1 because lim f(x) does not exist.
x+1
☐ f(x) is not continuous at x = 1 because lim f(x) ‡ f(1).
x+→1
☐ f(x) is continuous at x = 1.
2. Consider the following argument:
(a)
Seabiscuit is a thoroughbred.
Seabiscuit is very fast.
Every very fast racehorse can win the race.
.. Therefore, some thoroughbred racehorse can win the race.
Let us define the following predicates, whose domain is racehorses:
T(x) x is a thoroughbred
F(x) x is very fast
R(x) x can win the race
:
Write the above argument in logical symbols using these predicates.
(b)
Prove the argument using the rules of inference. Do not make use of conditional
proof.
(c)
Rewrite the proof using full sentences, avoiding logical symbols. It does not
need to mention the names of rules of inference, but a fellow CSE 16 student should be
able to understand the logical reasoning.
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