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Everyone’s skin contains about the same number of melanocytes even though people come in many different colors. How is this possible?

What methods might be used to cool the skin of a child experiencing a high fever? For each method you list, identify the means by which it promotes heat loss—radiation, conduction, convection, or evaporation.

Suppose you were to flip a fair coin 5 times and record the number of tails that you got. The table below shows the corresponding probability distribution. Calculate the mean of this discrete probability distribution.    Probability Distribution Table Outcomes = # of Tails Probability 0 0.03125 1 0.15625 2 0.3125 3 0.3125 4 0.15625 5 0.03125   Make sure to round your final answer to 2 decimal places. For example, if your answer was , then you would type in 3.21 as your final answer. 

Suppose you are hired to determine the true average amount of money that college students make while working on-campus jobs. If you want to be 95% confident that you are within $100 of the actual value, how many students would you need to survey? Assume that the true standard deviation is $600.  Reminder: It’s impossible to survey a fraction of a college student.    

Part 1. Provide the curved arrow mechanism for 2 of the following 4 reactions. No response is required below, all work needs to be shown on scratch paper sent to Dr. Metz. Part 2. How many curved arrows are included for each mechanism provided. (Answers to this question must be provided below in order to receive credit for both parts 1 and 2. (Answers provided for part 1 must align with part 2 in order to receive credit for part 1 responses.)  

Refer to the following conformations (A, B and C) of pentane Part 1: Assuming each structure below can no longer rotate, label each conformation below as either anti, gauche, or eclipsed. (Work for the question will need to be provided below in order to receive credit) Part 2. Identify which of the three conformations of pentane is the most stable conformation. (Work for the question will need to be provided below in order to receive credit)  Part 3. Draw the Newman projection of the most stable stable conformation of pentane. (Drawings of each Newman projection will need to provided in the work sent to Dr. Metz)  

Review the bond-line structures below. In each case, one atom one atom is missing a formal charge. Identify the atom that should bear this charge and calculate the formal charge. On your scratch paper show work for this problem and show the final structure with the correct location of the formal charge. (The identify of the atom, carbon, oxygen, nitrogen, or hydrogen and the charge associated with it should be included  in the space below to receive credit) a. b.

Review the structure of oxytocin. This naturally occurring hormone is sometimes referred to as the “cuddle hormone” and plays a key role in feelings of trust and attachment towards another person. Identify 3 unique (different) functional groups present in oxytocin. 

Part 1. Identify the major organic product for the following chemical reaction. Ensure that appropriate stereochemistry is displayed when applicable.. (Answer to this must be submitted with the work scanned and sent to Dr. Metz after the exam) Part 2. Which mechanism, SN2, SN1, E1, or E2, does this reaction proceed through? (Answers to these questions must be provided in the space below in order to receive credit – this question must be answered to receive credit Part 1)

For the following bond-line structures identify the number of carbon and hydrogen atoms present. (Final answers to this question must be included in the space below to receive credit) Structure a. b.   c.   d.