Numerade

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The manager of a Papa John's wants to determine whether the amount of tomato sauce contained in a 140 oz can purchased from the supplier averages less than 140 oz. It is known from the manufacturer's specifications that the standard deviation of the amount of sauce is equal to 1.5 oz. A random sample of 16 cans are selected, and the mean amount of amount per bottle can is found to be 138.4 oz. Conduct the appropriate hypothesis test at alpha = .01. (Please number your 7-step process on your work shown sheet)

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If Ross has an income of $56, how many units of each good will he purchase to ;maximize his u Instructions: Enter your answers as a whole number. 3 unit(s) of good A 4 unit(s) of good B Now suppose the price of good A rises. If he still has $56 to spend, then to maximize his utility, purchase: less of good A. less of good A and the same quantity of good B. less of good A and more of good B. more of good A and less of good B.

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Lipid oils are usually obtained from _____ Question 22 options: a) both plant and animal sources b) animal sources c) plant sources d) neither plant nor animal sources

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Part 2 (10 pts): Answer the following questions about cyclic compounds and their reactions with Electrophilic aromatic substitution (EAS). Note if you are asked why EAS occurs exclusively in the position given you must be able to fully explain why other positions are unfavorable just as much as why the position preferred is favorable. A. Nitrobenzene undergoes electrophilic aromatic substitution (EAS) in the meta position. Explain why this is the case. You will need to use diagrams to explain. 142401 NO2 CH3Cl, AlCl3 NO2 B. Draw the curved arrow mechanism for the reaction shown in part A. You can use B: for base. C. Thiophene (below) undergoes electrophilic aromatic substitution exclusively in the 2 position. Explain why this is the case. You will need to use diagrams to help explain. 3 S Cl2, AlCl3 2 S CI

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ou consider investing in a stock. You think that the stock has an expected return of 9.5% and the risk-free rate of return is 1%. However, when you use the CAPM equation, you find that the stock’s alpha is -0.5%. This is due to the stock’s large exposure to the market, with a market beta of 2. (a) Explain briefly whether it is a good or bad idea to buy the stock (according to the CAPM). (b) Based on the above information, what is the expected return on the market? (c) (!) Does your answer to (a) change if the risk-free rate of return at which you can borrow is 1% higher than the risk-free rate of return at which you can lend? Assume that the expected return of the stock is unchanged at 9.5%. Hint: if you want to get a beta of 2, what would be the expected return of the tracking portfolio?

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Find the derivative of the function. $y = \ln 7x$

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12. What occurs during meiosis II of oogenesis if fertilization occurs? 13. What makes up an ovarian follicle? 14. What occurs during ovulation? 15. What happens to the secondary oocyte if it is not fertilized? 16. What happens to the secondary oocyte if it is fertilized? 17. What is the corpus luteum? 18. What hormones are secreted by the corpus luteum? 19. What happens to the corpus luteum if fertilization does not take place? 20. What happens to the corpus luteum if fertilization takes place?

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6. Let X and Y be random variables with $f_{X,Y}(x,y) = \begin{cases} x+y & 0 \le x \le 1, 0 \le y \le 1 \\ 0 & \text{otherwise.} \end{cases}$ (a) Find E(XY). (b) Find the pdf of Z = E(XY).

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The graph below shows experimental data on extension of a leukocyte microvillus caused by application of an external force to the microvillus. The x-axis is the extension of the microvillus and the x-axis is the pressure difference applied across the entire leukocyte, using a pipette apparatus as depicted below. Assume the pipette radius is 4 µm. Using the data, compute the spring constant ($k_{sp}$, in pN/µm) for the microvillus.

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Gauss's theorem Consider the the upper hemisphere $S_r^+ := \{(x, y, z) \in \mathbb{R}^3 : |x| = r, x_3 > 0\}$ with the Radius $r > 0$ Calculate the following integral $\int_{S_r^+} x^3 dS$ by using Gauss's theorem and finding a suitable vector field on the upper hemisphere $B_r^+ = \{x \in \mathbb{R}^3 : |x| < r, x_3 > 0\}$

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anthony j.