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Exams are approaching and Helen is allocating time to studying for exams. She thinks that with the appropriate amount of studying she has a 70% chance of getting an A in Spanish, and a 20% chance of getting a B in Marketing. Assuming she has no obstacles limiting her available time to allocate to each subject, what is the probability that Helen gets an A in Spanish or a B in Marketing?

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A monotomic ion has a charge of +3 . The nucleus of the ion has a mass number of 45 . The number of neutrons in the nucleus is equal to the number of electrons in a $ \mathrm{Co}^{3+} $ ion. 1 dentify the element and indicate the number of protons, neutrons, and electrons in the ion mentioned above. The element's atomic symbol is $ \square $ The number of protons is $ \square $ The number of neutrons is $ \square $ The number of electrons is $ \square $

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Which of the following sets are not well defined? Explain. a. The set of wealthy schoolteachers b. The set of great sculptures c. The set of whole numbers greater than 180 d. The set of subsets of \{1,2,3,4,5,6,7\} e. The set \{x | x < x - 2 and x\in N\}

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Your roommate and you were considering having a small business of selling bathroom tissues in a package of four rolls. Your "market" was the four residential halls on campus. After having conducted a "market survey", you found the quantities you might sell in each building at various prices as follows: (1) (4 points) Use the information you acquired to draw the market demand curve for your product. (2) (4 points) What is the price elasticity of demand of Building 310 if you raise your price from $0.50 per package to $1.00 per package? (Mid-point method required. Keep two decimal places) (3) (5 points) What is the price elasticity of demand of your "market" if you raise your price from $0.50 per package to $1.00 per package? Is your demand elastic? Are you going to raise your price in order to raise your total revenue? Why? building at various prices as follows: Hall305 Hall310 $0.50 100 130 $1.00 80 100 $1.50 30 50 $2.00 10 15 Hall380 90 70 20 0 Hall385 180 150 50 20 1) (4 points) Use the information you acquired to draw the market demand curve for your product. 2(4 points What is the price elasticity of demand of Building 310 if you raise your price from $0.50 per package to $1.00 per package?(Mid-point method required. Keep two decimal places) 3)(5 points) What is the price elasticity of demand of your market if you raise your price from $0.50 per package to $1.00 per package? Is your demand elastic? Are you going to raise your price in order to raise your total revenue? Why?

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If firms compete in a Cournot fashion, then each firm views the 1. output of rivals as given. 2. prices of rivals as given. 3. profits of rivals as given. 4. output, prices, and profits of rivals as given.

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Find the solution to the system of equations: $\begin{cases} x - 2y + z = -7 \ y + 2z = -2 \ x + y + 3z = -5 \end{cases}$ x = y = z =

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Evaluating Functions Use the function k(x) = -8x + 4 to answer the following questions. Evaluate k(-4): k(-4) = 36 For what value of x does k(x) = -52? x = 9

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Chapter 7, Problem 19: We wish to design the stage of Fig. 7.55 for a voltage gain of 4 with W/L = 20/0.18. Determine the required value of Rp if the power dissipation must not exceed 1.5 mW. Assume VTH = 0.4 V, Cox = 200 A/V^2, and VDS = 1.8 V. RD, Vout, Vino, HEM, Figure 7.55

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A 95% confidence interval for a difference in proportions p-P if the samples have n=50 with p=0.70 and n=70 with p=0.56, and the standard error is SE=0.09. Round your answers to three decimal places. The 95% confidence interval is:

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Question 10 Course Project Consider the grammar G=(V, T, S, P) where V={a, b, c, A, B, C}, T=(a,b,c), S is the starting symbol. And the productions are: S? AB A? Ca B? Cb B? b C? cb C? b Determine whether the word \"cbab\" belongs to the language generated by the grammar G using: a. Top-down parsing b. Bottom-up parsing

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danielle c.