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2. Given a four-state Markov chain: state 1: an individual is free of a particular disease state 2: an individual has the disease state 3: death as a result of the disease state 4: death from other causes During an annual cycle, we assume that the transition matrix is (in the order of the states), 1 1 0 1 8 1 T= 4 0 2 0 0 0 0 1 = . (i)According to the above T = (Pij), please explain what is the meaning of P12 and P32 (ii) At the beginning, Tom suffered from this particular disease. One year later, Two years later, what is the probability that Tom will recover (12).

2. (25 pts) Let f() = 1 +? -- 3x - 2 a) Determine the critical points of f. Show work that leads to your answer. b) Use the second derivative test to determine if f has a relative extremum at each critical point and state which type. c) Determine the interval(s) for which is concave up.

 

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75mm 75mm M 100mm Figure 4 - Composite Beam The composite beam shown in Figure 1 is made up of a TI-AI-V bar (A) attached to a 2024 T4 aluminium bar (B) (See Appendix A for material properties). If neither of the beams is allowed to yield, determine the maximum moment that may be applied to the beam. [16]

Paiva Corporation owns 80% of Ackroyd Corporation's outstanding common stock and Ackroyd owns 80% of the outstanding common stock of Bailey Corporation. Bailey Corporation owns 10% of the outstanding common stock of Ackroyd Corporation. The cost of the investments was equal to book value and there were not fair value/book value differences for the investments. The separate net incomes for the three affiliated companies for the year ended December 31, 2014 (excluding investment income) are as follows: Paiva Corporation, $100,000, Ackroyd Corporation, $50,000, and Bailey Corporation, $30,000. Use the conventional approach.

10) Bailey's noncontrolling interest share for 2014 is A) $7,609. B) $8,044. C) $15,652. D) $23,696.

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2. A non-conducting, rigid steel compartment is divided into two non-equal sections by a non- conducting membrane that can move freely and frictionlessly. Initially compartment A contains 5 mol (0.005 kmol) of solid S and 10 mol (0.01 kmol) Nitrogen (N2) at 100 kPa and 298 K. Compartment B contains 0.1 kg wet steam with a quality (xy) of 86%. The steel container is perfectly insulated, but a heating coil in compartment A can deliver heat to its contents. The coil is switched on and heat flows to the contents in compartment A. The slow decomposition of solid S to ideal gases X and Y according to the reaction below: o Ss = X, + Y, with AH, RX 298 15000 mol is allowed to reach equilibrium at a final temperature of 500 K. At this point (equilibrium in compartment A at 500 K), the steam in compartment B is at 125°C How much heat had to flow to the contents of compartment A during the process? (Answer in kJ, round to four significant numbers e.g. 1234, 1.234 or 12.34) n) What is AGRX299 for the decomposition reaction of solid S? Answer in J/mol-round to a whole number Information: k) Compartment A: For solid S, Cp Cy = 60 and its volume may be assumed negligible kmol.K compared to that of the gas mixture in the compartment. Assume equal average heat capacities for all gases in the compartment as summarized in the table below: Gas Nitrogen Gas X Gas Y Cp U.mol-1K-1) 30 30 Compartment B: Use CoolProp for all thermodynamic properties of Steam 30

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31.

Adding lime to clayey soils improves their workability only.

Group of answer choices

True

False

32.

It is necessary to divide the alignment into several sections to determine the design CBR..

Group of answer choices

True

False

33.

Higher CBR values indicate strong subgrade.

Group of answer choices

True

False

35.

In selecting the Design CBR, the alignment must always be divided into several sections having similar soil type and drainage condition.

Group of answer choices

True

False

 

QUESTION 20 An example of the three parties in an assurance engagement would be: O a, audit client, employee, customer. O b. auditor, shareholder, general public. O c. audit client, supplier, auditor. O diauditor, general public, employees.

11, in a one-tail hypothesis test where H, is only rejected in the upper tal, the p-value=0.0282 and ZSTAT = +1,91, what is the statistical decision if the null hypothesis is tested at the 0.03 level of significance? What is the statistical decision? Since tho p-value is (Type an integer or a decimal. Do not round.) Ho

A constant temperature, pressure-volume thermodynamic process has the following data: 333 316 326 312 242 207 Pressure 420 368 (kPa) Volume (m) 0.5 2 3 4 6 8 10 11 Estimate the pressure at V = 1.88 m3 using 3 Points Lagrange interpolation polynomial.

7. [-/1 Points) DETAILS SCALCET8M 5.3.016. Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. y- ( - on st+ Vedi ??