Medicine. The study discussed in Problem 65 also produced the following data for patients who underwent aortic valve replacements: each day 2 % of the patients in the ICU died, 60 % were transferred to the CCW, and the remainder stayed in the ICU. Furthermore, each day 5 % of the patients in the CCW developed complications and were returned to the ICU, 1 % died while in the CCW, 19 % were released from the hospital, and the remainder stayed in the CCW. (A) In the long run, what percentage of the patients in the CCW are released from the hospital? (B) In the long run, what percentage of the patients in the ICU die without ever being released from the hospital? (C) What is the average number of days a patient in the CCW will stay in the hospital?
Medicine. The study discussed in Problem 65 also produced the following data for patients who underwent aortic valve replacements: each day 2 % of the patients in the ICU died, 60 % were transferred to the CCW, and the remainder stayed in the ICU. Furthermore, each day 5 % of the patients in the CCW developed complications and were returned to the ICU, 1 % died while in the CCW, 19 % were released from the hospital, and the remainder stayed in the CCW. (A) In the long run, what percentage of the patients in the CCW are released from the hospital? (B) In the long run, what percentage of the patients in the ICU die without ever being released from the hospital? (C) What is the average number of days a patient in the CCW will stay in the hospital?
Solution Summary: The author calculates the percentage of patients in the CCW who are released from the hospital.
Medicine. The study discussed in Problem 65 also produced the following data for patients who underwent aortic valve replacements: each day
2
%
of the patients in the ICU died,
60
%
were transferred to the CCW, and the remainder stayed in the ICU. Furthermore, each day
5
%
of the patients in the CCW developed complications and were returned to the ICU,
1
%
died while in the CCW,
19
%
were released from the hospital, and the remainder stayed in the CCW.
(A) In the long run, what percentage of the patients in the CCW are released from the hospital?
(B) In the long run, what percentage of the patients in the ICU die without ever being released from the hospital?
(C) What is the average number of days a patient in the CCW will stay in the hospital?
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.
Chapter 9 Solutions
Pearson eText for Finite Mathematics for Business, Economics, Life Sciences, and Social Sciences -- Instant Access (Pearson+)
College Algebra with Modeling & Visualization (5th Edition)
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