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caroline miller

caroline m.

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Stacked StarTutor: Introduction to the general rules of probability A bag of Skittles has 9 reds, 10 oranges, 7 yellows, 8 purples, and 6 greens. What is the probability of not getting a green Skittle if one is selected at random? Express your answer in decimal form using two decimal places. Answer to two decimal places: MacBook Pro MOSISO command option

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2-130. Determine the projection of the force acting in the direction of cable AC. Express the result as a Cartesian vector.

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Suppose you have the following information about a stock: Expected Return D0 = $2.00 P0 = $50 g = 3.0% Required Return rrf = 2% rm = 10% Note that this is the market return. b = 0.8 Calculate the expected return on a stock, use the Constant Dividend Growth model in your analysis. Next, calculate the required return on a stock using the Security Market Line (SML) formula. With that background in mind, address the following questions. a) Is this stock in equilibrium? Explain your reasoning. b) If it is not in equilibrium, determine the equilibrium price. Answer: a. Yes or No Explain b. Equilibrium Price Expected return rs = D0 x (1+g)/P0 + g rs = Required Return rs = rrf + b (rm - rrf) rs = b. Expected return < Required return. Sell stock reducing its price until the Expected return = Required return. Plug the required return as calculated in the CAPM into the Constant Dividend Growth model. P0 = D0 x (1+g)/(rs - g) P0 =

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Interpretation of a sensory input often depends on where in the brain the interpretation takes place. O False O True

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Part 1 Which of the following elements are attracted by a magnet at room temperature? O all metals, except mercury O iron, nickel, and cobalt O aluminum and copper O iron and aluminum

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the formation of O2 in PSII requires how many electrons from water ?

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Suppose we take a regular deck of cards and discard everything except the hearts. There are 13 cards, three of which are “picture cards” (jack, queen, king), the rest of the cards being labeled ace, two, three and so on up to 10. The 13 cards are turned over and three of them drawn at random. (a) What is the probability that all three cards are picture cards? (b) What is the probability that one of them is a picture card and two of them are not? (c) Now suppose the rules are changed so that we draw cards one at a time, and keep drawing until the first picture card. What is the probability that this occurs on the fifth drawing? Hint for Problem 4: This uses the hypergeometric distribution; see the handout on the course webpage. Also, I’d like to clarify that the cards are drawn without replacement (under this drawing scheme, you cannot get the same card twice.)

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Suppose the Fed conducts an open market purchase from the non-bank private sector (for example an individual with a bank account). What does the balance sheets of Fed, banking system and person looks like?

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8. A linear DNA fragment has been treated with two different restrictases and with a combination of the two. The results are as shown: Draw a restriction map of the fragment, showing restriction sites for the restrictases and distances between them. 9. a. The data have been collected from several crosses between horses of roan coloration. Their offspring phenotypes are white, roan and red. Offer a genetic hypothesis to explain these results. Determine parental and offspring genotypes and illustrate the cross. The offspring phenotype numbers are: 20 white 29 roan 25 red Do these numbers agree with your hypothesis? Check it with chi square. Show your calculations. If it is not confirmed, offer another one and check it. b. In a herd of feral horses (they exist) 5 are red, 12 white and 30 roan. (What you found in question a about the color inheritance is still correct). Is this population at equilibrium? Show your calculations.

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Problem #5: Let L(y) = a_ny^(n)(x) + a_{n-1}y^(n-1)(x) + ... + a_1y'(x) + a_0y(x) where a_0, a_1, ..., a_n are fixed constants. Consider the nth order linear differential equation L(y) = 8e^{5x} cos x + 7xe^{5x} (*) Suppose that it is known that L[y_1(x)] = when y_1(x) = 90xe^{5x} 10xe^{5x} L[y_2(x)] = when y_2(x) = 44e^{5x} cos x 11e^{5x} sin x L[y_3(x)] = when y_3(x) = 110e^{5x} cos x + 11e^{5x} cos x 440e^{5x} sin x Find a particular solution to (*).

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