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richard foster

richard f.

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Question 3: PBS and the New York Times conducted a joint investigation of the credit card industry. They found that out of 145 million Americans with credit cards, 35 million pay only the minimum amount each month, 55 million pay more than the minimum but less than the full balance, and 55 million pay the full balance. Let A, B and C be the events that a randomly chosen credit card holder pays only the minimum amount, pays more than the minimum but less than the full balance, and pays the full balance, respectively. (a) Compute $P(A)$, $P(B)$, and $P(C)$. (b) Express \"the probability that a randomly chosen credit card holder who pays more than the minimum amount pays off his full balance\" in terms of A, B, and C, and compute this probability. [Hint: For any arbitrary events X and Y, $X \cap (Y \cup X) = X$ holds.]

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Price $22 20 18 16 14 12 Tax 10 8 6 4 2 0 5 10 15 20 25 30 35 40 45 50 Quantity Refer to Figure 5-3. The size of the tax is $16. $12. $8. $4

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What is wrong with this code? Guide import random # random.seed(1234) Dice roll result_a = random.randint(1, 6) result_b = random.randint(1, 6) Try It several times in a row to see the different dice rolls print("You rolled a", result_a, "and a", result_b, end='') print("") Then, uncomment the line that says random.seed(1234) and run it several times. What happened? Try experimenting with different values for the random.seed function and run several times to see what happens. Setting the random seed to a fixed value allows you to get predictable results every time, but it does not allow for a very interesting dice game. Comment the line back out so you have a 'random' roll of the dice again. Try modifying your code to use 4, 8, 12, or 20 sided dice. Then, modify your code to ask the user how many sides their two dice have. Even though you couldn't build fair 7 or 13 sided dice physically, with digital dice you could use them. You need to ask for how many sides each dice has. This means two inputs for two dice! TRY IT Once you are confident your dice game is working properly, check it for a grade. Before you check it, you have to remember to uncomment the line that sets the random seed so that the autograder will know which rolls should come up. Dice game output Make sure you are calling random.seed(1234) with argument (1234) (and you are only calling it once!) Make sure you are allowing for dice with other than 6 faces.

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Find the slope and y-intercept (if possible) of the line. (If an answer does not exist, enter DNE.) 5x - 4 = 0 slope y-intercept (x, y) =

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4. Consider the group described in the Cayley table to the right. What symbol is the identity? List the inverse pairs.

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Find the limit of the transcendental function: lim x→1 (ln 9x + e^x)

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Text: 1. In Hart's incomplete contracts model of boundaries of the firm (select all of the following which are true): (a) Either manager 1 or manager 2 should own both the assets, a1 and a2. (b) If the investment of manager 1 can only be 0 or 1 and manager 1 always wants to invest, then type 2 integration is optimal. (c) If neither of the investments by either manager has any impact on costs or revenue, then non-integration is the unique optimal form of integration. (d) None of the above.

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3. Let f(x) = \frac{x-1}{x^2-1} a. What is the equation of the horizontal asymptote of f(x)? [2] b. From what direction does f(x) approach the horizontal asymptote as x tends towards +? and -?? [2] c. What is the equation of the vertical asymptote of f(x)? [2] d. What is the sign of f(x) as x approaches the asymptote from the right and from the left? [2]

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11. The organization formed to raise the level of corporate citizenship in member countries is the a. Organization for Economic Cooperation and Development b. World Bank Group c. International Monetary Fund d. World Economic Forum 12. The key resources for the success of a business in the age of information are a. goods and services b. ideas and research c. land and buildings d. assets and liabilities 13. When Magna Corporation adopted Magna's "Corporate Constitution," the company made a commitment to sharing its a. profits with stakeholders b. inventory with customers c. assets with creditors d. all of the above 14. A person who organizes, manages, and assumes the risk of starting and running a business is a(n) a. employee b. entrepreneur c. manager d. accountant 15. The stage of a product life cycle where a trend ceases to be popular and production stops is called a. embryo b. growth c. maturity d. decline 16. A product brand name recognizable by consumers all over the world is a a. global brand b. multinational brand c. logo d. global logo

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def countSpaces(string, start_index): if start_index >= len(string): return 0 if string[start_index] == ' ': return 1 + countSpaces(string, start_index + 1) else: return countSpaces(string, start_index + 1) # main program for testing if __name__ == '__main__': s = '' print(countSpaces(s, 0)) # correct: 0 s = ' ' print(countSpaces(s, 0)) # correct: 10 print(countSpaces(s, 4)) # correct: 6 s = 'ABCDEFGHIJKLMNOPQRS' print(countSpaces(s, 0)) # correct: 0 print(countSpaces(s, 10)) # correct: 0 s = 'ABCDEFGHIJ KKKK ' print(countSpaces(s, 0)) # correct: 5 print(countSpaces(s, 15)) # correct: 3

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