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summer r-o

summer r.

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In this case, a fire is intentionally set to accelerate deforestation (see photo) so that the sa only timber production, but also cattle grazing. How do these activities directly affect these tropical forests? Check all that apply. They increase soil erosion. They destroy many plants and animals that live in these forests. They increase pest susceptibility.

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Question 4 12.5 pts When a particular machine is functioning properly, 80% of the items produced are non-defective. If three items are examined, what is the probability that none is non-defective? Use the binomial probability function to answer this question. 0. 0960 1. 0555 2. 0080 3. 1040 4. 2800

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Each of 100 multiple-choice question on an exam has four possible answers, one of which is correct. For each question, a student guesses by selecting an answer randomly. (a) Specify the distribution of the student's number of correct answers. (b) Specify the distribution of $(Y_1, Y_2, Y_3, Y_4)^T$, where $Y_j$ is the number of times the student picked choice $j$, $j = 1, 2, 3, 4$. (c) Find $E(Y_j)$, $var(Y_j)$, and $cov(Y_j, Y_k)$.

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In Table below, sets of total utility (TU) & marginal utility (MU) are assumed for SB19 Ken who eats 3 alternative fruits: apple (A), banana (B), and corn (C) SB19 Ken has P192 to spend on these 3. Unit Price of A is P10, B is P14, & C is P18. Qty (Unit TU (MU) TU (MU) TU (MU) A P10 B P14 C P18 Qty to buy w/ 200 W C R 1 10 10 50 50 70 70 2 18 8 68 18 88 18 3 24 6 78 10 100 12 4 29 5 86 8 108 8 5 33 4 91 5 114 6 6 36 3 95 4 118 4 SUM 3. What is the (2-decimal places) marginal utility per peso of banana at quantity of 4 units 4. With budget of P192 for the 3 fruits, how much of cherry will be bought to maximize Ken's utility

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7.3.2 Show that the equation $x^3 + y^3 = 3axy$ of the folium may be written in the form $x + y = \frac{3a}{\frac{x}{y} + \frac{y}{x} - 1}$

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You are given that $\sin(A) = -\frac{7}{25}$, with $A$ in Quadrant IV, and $\cos(B) = -\frac{3}{5}$, with $B$ in Quadrant III. Find $\sin(A + B)$. \newline Give your answer as a fraction.

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Moving to the next question prevents changes to this answer. Question 2 The steady-state temperature distribution in a one-dimensional wall of thermal conductivity $k$ and thickness $L$ is of the form $T = 2x^2 - 3x + 1$ where $T$ is in Kelvin and $x$ is in m. Derive an expression for the heat flux at $x = 0$ in W/m$^2$ if the thermal conductivity is 2 W/(m K) Fourier's Law $\vec{q} = -k \vec{\nabla} T$ Cartesian Coordinates: $T(x, y, z)$ $\vec{q} = -k \frac{\partial T}{\partial x} \vec{i} - k \frac{\partial T}{\partial y} \vec{j} - k \frac{\partial T}{\partial z} \vec{k}$ $q_x$ $q_y$ $q_z$ Cylindrical Coordinates: $T(r, \theta, z)$

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Explain in words a firm's shut down decision. That is, the conditions under which firm would be better off producing q = 0 in the short run instead of producing where MR = MC. Including a numerical example would help.

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5. You know that ABC Corporation an investment firm, is poorly run. 'On a scale of 1(worst) to 10 (best), you would give it a score of 3. The market consensus evaluation is that the management score is only 2. Should you buy or sell the stock? Explain your decision. (4 Points)

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1. List three key differences between common stock and preferred stock. Be concise, in point form. (3) a) b) c)

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