Numerade

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2. Let X and Y be continuous random variables with a joint density function $$f(x,y) = \begin{cases} x/5 + cy, & 0 \le x \le 1, 1 < y < 5 \\ 0, & \text{elsewhere} \end{cases}$$ a) What is the value of c? (7 marks) b) Find P(X + Y > 3). (8 marks) PLEASE TURN OVER

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Regulates the balance of electrolytes Sex hormone Elevates blood glucose levels Mineralcorticoid Glucocorticoid Gonadocorticoid

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When salt X is dissolved in water to form a 1 M unsaturated solution at 1 atm, the temperature of the solution decreases. From this information, we can conclude that for dissolving this salt in water: Group of answer choices \Delta H\deg is negative, \Delta S\deg is positive and \Delta G\deg is negative \Delta H\deg is positive, no conclusion can be reached about \Delta G\deg \Delta H\deg , \Delta S\deg and \Delta G\deg are all positive \Delta H\deg , \Delta S\deg and \Delta G\deg are all negative \Delta H\deg is positive, \Delta G\deg is negative

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Holding all else constant, if the supply of loanable funds increases, the interest rate will increase as well. Group of answer choices True False

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The quick sort algorithm always divides an array in half. Question 8 options: True False

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Many anthropologists claim that before we can form an opinion about the morality of other cultural beliefs and practices, we must examine which people in a cultural group benefit from these beliefs and practices. This view is known as: a) ethnocentrism b) cultural interpretivism c) absolute cultural relativity d) critical cultural relativity e) post-modernism

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Consider the relation R = {A, B, C, D, E, K, G, H, I, J} and the set of functional dependencies F = {{A, B}?{C}, {B, D}?{E, K}, {A, D}?{G, H}, {A}?{I}, {H}?{J}}. a) What is a CK for R? b) Decompose R into relations that are all in 2NF but not all in 3NF. c) Decompose R into relations that are all in 3NF. Underline the PK for each relation.

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Not all areas of the retina are represented equally in the primary visual cortex. Instead, the part of the image falling on the fovea has a disproportionately large area of cortex devoted to it. This principle is called..... ? retinal expansion ? foveal magnification ? Cartesian expansion ? cortical magnification ? frequency expansion

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Now consider the relation T := {(1,2), (1,3), (2, 1), (2, 3), (3, 1), (3, 2), (3, 4), (4, 5)} on {1,2,3,4,5}. What is the reflexive closure of T? What is the symmetric closure of T? What is the transitive closure of T? What is the symmetric closure of >=?

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Current Portion of Long-Term Debt Connie's Bistro, Inc. reported the following information about its long-term debt in the notes to a recent financial statement: Long-term debt is comprised of the following: December 31 Current\hspace{1cm}Preceding Year\hspace{1cm}Year Total Notes payable $\hspace{0.1cm}854,500\hspace{0.8cm}$\hspace{0.1cm}470,000 Less current portion $(247,800)\hspace{0.4cm}(230,700) Long-term debt $\hspace{0.1cm}606,700\hspace{0.8cm}$\hspace{0.1cm}239,300 a. How much of the notes payable was disclosed as a current liability on the current year's December 31 balance sheet? b. How much did the total current liabilities change the preceding year and the current year as a result of the current portion of long-term debt? c. If Connie's Bistro did not issue additional long-term debt next year, what would be the total notes payable on December 31 of the upcoming year?

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michelle s.