Numerade

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9. [CH.4] Suppose that the distribution function of X is given by $$F(b) = \begin{cases} 0, & \text{if } b < 0 \\ \frac{b}{4}, & \text{if } 0 \le b < 1 \\ \frac{1}{2} + \frac{b-1}{4}, & \text{if } 1 \le b < 2 \\ \frac{11}{12}, & \text{if } 2 \le b < 3 \\ 1, & \text{if } 3 \le b \end{cases}$$ (a) Find $$P(X = i), i = 1, 2, 3.$$ (b) Find $$P(\frac{1}{2} < X < \frac{3}{2}).$$

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Which of the following is an example of direct finance? Group of answer choices Alibaba sells new shares of stock in an IPO. You arrange for your paycheck to be directly deposited in your checking account. You arrange to pay your car loan directly out of your checking account. All of the above None of the aboveWhich of the following is a correct description of indirect finance? Group of answer choices It happens when bonds and stocks that have already been issued are traded in financial markets. It happens when a financial intermediary stands between the lender and the borrower. It requires collateral in order to happen. All of the above None of the above

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Consider the function $f(x) = \frac{1}{\sqrt{x^4 + 1}}$ (a) Give the exact $x$ value of a non-stationary inflection point (an inflection point which is not a critical point) 1 (b) Give an $x$ value where the function is increasing, but concave down. DNE (c) Give an $x$ value where the function is decreasing, but concave down. DNE (d) Give an $x$ value where the function is increasing, but concave up. -1 (e) Give an $x$ value where the function is decreasing, but concave up. 1

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Incorrect Question 23 0 / 1 pts At the current level of output for a perfectly competitive firm, the following data exist: Price = $20 Marginal cost = $6 Average variable cost = $10 Average total cost = $13 What should this firm do? The firm should stay at the same level of output. The firm should decrease output. The firm should shut down. The firm should lower the price. The firm should increase output.

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A cart of mass 12 kg is moving 5 m/s to the right on a frictionless track and collides with a cart of mass 4 kg. The final velocity of the carts that become stuck together after the collision is 1.0 m/s to the right. Find the velocity of the second cart before the collision

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Q3 Illustrate the forces acting on each ball by drawing the \"Free Body Diagram\". The weight of the balls is as follows: A =15 Kg ,B = 7 Kg , C = 5 Kg. D=9 Kg. , E = 12Kg ,F=10 Kg Q4 Determine the centroid of the shaded areas shown in figure with respect to the Y-axis ($y$). The equation of the curve is: ($2y^3=x^2$)

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Problem 4. (15 pts) Use the determinant to find out for which value(s) of the constant $k$ the $\begin{bmatrix} 1 & 2 & 3 \\ 4 & k & 5 \\ 6 & 7 & 8 \end{bmatrix}$ given matrix is invertible. Problem 5. (10 pts) (a) Show that the eigenvalues $\lambda$ of a 2x2 matrix A are the solutions of the equation $\lambda^2 - \text{tr}(A) \lambda + (\text{det } A) = 0$ (b) Assume that A is an nxn orthogonal matrix, show that the possible real eigenvalues of A are 1 and -1. (hint: A is orthogonal if (and only if) $||Ax|| = ||x||$ for all x in $R^n$)

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1 18 3 29 4 34.5 6 45.5 TWO TRUTHS AND A LIE Statement #1: The slope of the line segment connecting all the points would be 5.5. Statement #2: The line passing through all the points rises as we move right along the x-axis. Statement #3: The equation of the line segment connecting all the points would be $y = 11x + 7$. What is the truths and what is the lies This might not be enough info

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The coordinates of three vertices of a rectangle are show below. Find the coordinate for the fourth vertex, then solve for area and perimeter of the rectangle.

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11. If $(x-4)$ is a factor of $x^3 - 3x^2 - 10x + 24$, which of the following are the other factors? I. $(x + 4)$ II. $(x + 3)$ III. $(x - 2)$ A. II & III B. I & II C. I and III D. I, II, & III

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