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Question 3 (5 points) Congress can------------ an Executive order. Revoke Declare unconstitutional Only three statements are true Modify All statements are true Replace

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The test that determines the amount of different types of immunoglobulins in the blood is ? PTT ? SPEP ? the CD4 count ? electrolytes

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For the polynomial below, -1 is a zero of multiplicity two. $h(x) = x^4 - 4x^3 + 47x^2 + 110x + 58$ Express $h(x)$ as a product of linear factors.

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Questions (24-29): A researcher was interested in studying the proportions of two populations that are having new strange disease, the data is summarized as follows: Disease Population A Population B Sample size 200 100 Number of people 84 40 0.42 0.4 Let $P_A$ and $P_B$ be the population proportions of people having this strange disease in the population (A) and population (B) respectively, then 24) The standard error for the difference between the two sample proportions is A) 0.0093 B) 0.0601 C) 0.0966 D) 0.0039 25) The 99% confidence interval for the difference between the two population proportions $P_A - P_B$ is A) (-0.2268,0.226) B) (-0.1348,0.1748) C) (-0.0931,0.2567) D) (-0.2440,0.0932)

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VietFresh JSC is a manufacturing company located in Vietnam. Its board has approved an investment fund of USD 1 million for expanding the company in new business activities. The CFO of the company is assigned the task to assess the different possible projects identified and recommended by the Marketing and Sales Department (MSD) and choose the most feasible set of projects that will maximise the collective net present value (NPV) for the company. The MSD has recommended FIVE projects as below for the CFO's consideration. Each of these projects have a useful life of THREE years, after which they do not have any use (i.e., their scrap value is zero). The predicted cashflows for each project are provided in the respective column followed by their respective NPVs (at discount rate of 10 percent) in the last row. Please note that these projects are NON-DIVISIBLE and all cashflows are expressed in Thousand US Dollars. Year Project Project Project Project Project HAN DAN HCM VIN PLE 0 (500) (200) (250) (300) (100) 1 200 80 110 120 70 2 350 200 160 190 40 3 240 130 130 140 50 NPV 151 136 80 71 34 Required: Assume that you are the CFO of VietFresh JSC. Assess which set of projects you will choose to maximise the collective net present value out of this investment fund? You must show all your necessary workings on the answer-sheet and your assessment shall be based on your workings. You shall also explicitly discuss any underlying assumptions made in the process of making decision. (25 marks)

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Question 2 Given a sequence {10, 15, 12, 28, 42, 30, 32, 64, 72, 40, 26, 60} Using the LUP tree method, find an LUP of the sequence. Write the LUP sequence. Also, write the values in the 3rd hanger (third hanger from the top - starting from the leaf).

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What are the five measurements that can be valuable in determining if an infant needs help adjusting? Provide the full name, not just the acronym. What are the time(s) that the APGAR score is measured?

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Consider the matrix $A = \begin{bmatrix} 1 & 1-i \ 1+i & 1 \end{bmatrix}$ as an operator in the basis $|e_1\rangle = \begin{pmatrix} 1 \ 0 \end{pmatrix}$ and $|e_2\rangle = \begin{pmatrix} 0 \ 1 \end{pmatrix}$ (a) Is this a Hermitian operator? Why or why not? (b) What are the eigenvalues of the operator A? (c) Determine the eigenvectors of this operator. (d) From c, normalize the eigenvectors calling them $|A_1\rangle$ and $|A_2\rangle$.

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Items Cash Flow, $ Initial cost, $ 600,000 AW of benefits, $/yr 580,000 PW of disbenefits, $ 580,000 O&M costs, $/yr 25,000 Project life, yr 20

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MATLAB has several special built-in variables for values such as infinity (Inf), not a number (NaN), and the imaginary unit (i). In order to complete the tasks that follow, carefully read the MATLAB help on Inf, isinf, NaN, isnan, and i. Assign the variables a, b, c, d, e, f, g to be, respectively: a = 1/0; b = log(0); c = exp(100); d = exp(1000); e = 2^2000; f = 10*Inf; g = 10/Inf; Using isinf, determine whether each of these values is represented by the Inf special variable. Store the results of each isinf command in the variables T1, T2, T3, T4, T5, T6, T7, respectively (for example, T1 = isinf(a)). Remark: the expressions whose values are assigned to a and b involve "exceptions". They are mathematically very different than the expressions whose values are assigned to d and e, where an actual value exists, but is a number larger than what can be represented in the computer. Note that in all cases, MATLAB treats them all as Inf. Assign the variables a, b, c, d, e to be, respectively: a = Inf - Inf; b = 0 * Inf; c = 0 / 0; d = 2 / 0; e = Inf / Inf; Using isnan, determine whether each of these values is represented by the NaN special variable. Store the results of each isnan command in the variables T1, T2, T3, T4, T5, respectively.

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