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The geneticists atudying the alien organisms have deciphered their genetic code. For familarity, they have used A, C, G, and T to indicate the bases in this code. A comparabie genetic sequence in each alien has been identitied in the genes that code for eye growth. This genetic sequence has allowed the aliens to be divided into six groups, with the single-tail, three-oye group apit in halt. The geneticists also atudied several outgroup species (not shown) to comple a likoly ancestral DNA sequence. From this information, they have constructed four possible phylogenatic trees. \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|} \hline site & 1 & 2 & 3 & 4 & & & & & & 9 \\ \hline ancestral & T & C & A & c & & & & c & & T \\ \hline group 19 & T & C & c & C & T & T G & & c & & T \\ \hline group 23 & T & G & A & c & T & , A & & c & A & \\ \hline group 2b & T & O & A & 3 & A & & & o & & \\ \hline group 3 & T & G & A & & A & & & c & & \\ \hline group 4 & C & G & A & c & T & & & T & o & C \\ \hline group 5 & C & G & A & c & T & & G & & & c \\ \hline \end{tabular} Based on this genetic information, which phylogenetic tree is most parsimonious? Select the most parsimonlous troe. If there is a tie, select both trees. (For help approaching this problem, open Hint 2.)

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In a situation where a factory pollutes the air of a nearby residential neighborhood, the efficient form of damages or legal protection for the homeowner(s) could be A regulatory solution by which the government imposes pollution limits and monitors compliance. An injunction, if the issue is between a single homeowner and the factory and transaction costs are low. All of these. Compensatory damages, if the issue is between multiple homeowners and the factory and transaction costs are high.

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Which one of the following situations reflects the typical duration of working memory?

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. A 20 percent rise in the price of Good S results in the following

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2.2-3 Translation & Reflections of Functions Part 1 of 3 0 of 1 Point Without using your calculator answer the following questions about the function $y = -\sqrt{x+2} - 4$. Complete parts (a) through (c). a. Use algebra to rewrite the function in the form $y = f(-(x-h)) + k$. y =

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17. Suppose that $f(z)$ and $g(z)$ are analytic on a region D. Moreover, C is a curve on D and the starting and terminal points of C are $z_1$ and $z_2$, respectively. Prove that $$\int_C f(z)g'(z)dz = f(z)g(z)\Big|_{z_1}^{z_2} - \int_C f'(z)g(z)dz.$$18. Use the formula in Problem 17 to determine $$\int_C z \sin(z)dz,$$ C: $z(t) = \sin(\pi t^2) + i\cos(\pi t/2)$ where $-1 \le t \le 1.$

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All of the following statements regarding mixed economies are true, EXCEPT: The primary motive of mixed economies is the collective good of all citizens. Sweden has a mixed economy. Mixed economies combine elements of socialism and capitalism. No society is purely capitalist or purely socialist.

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Use technology to construct the confidence intervals for the population variance $\sigma^2$ and the population standard deviation $\sigma$. Assume the sample is taken from a normally distributed population. $c = 0.90$, $s^2 = 5.76$, $n = 30$ The confidence interval for the population variance is ( , ) (Round to two decimal places as needed.)

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Problem #6: Using the algorithm discussed in class, demonstrate equivalent PDA's for the following CFG's: a) The grammar given in Problem 2.13, p156 of the text. b) The grammar given in Problem 2.14, p156 of the text.

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6. (5 points) In a modern context why is the effect on menu costs of anticipated and unanticipated inflation different? 7. (5 points) In the fall of 2017, Apple introduced two new models of its iPhone. The new models had faster processors and better cameras than the previous model and sold for higher prices. How did the introduction of the new models of the iPhone affect the BLS reported CPI? 8. In the above assume that the price change between iPhone versions was from $400 to $600 and that the change in quality caused the effective quantity to increase from 1 to 1.2 in the minds of consumers. Assume that the contribution to the price paid for the full market basket from other products is $40,000 and that in the base year 2 iPhones were purchased. (a) (5 points) Calculate the percentage error in the BLS reported price of the market basket of $41,200. Note that this is the same as the percentage error in the CPI. (b) (5 points) Assuming there is also a similar quality and price difference in all the other products composing the market basket what is the total percentage error of the BLS reported CPI?

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