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In a history class there are 8 history majors and 8 non-history majors. 4 students are randomly selected to present a topic. What is the probability that at least 2 of the 4 students selected are non-history majors? Express your answer as a fraction or a decimal number rounded to four decimal places.

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Porins: have many hydrophobic $\alpha$-helical regions. contain no hydrophobic amino acid residues. allow small hydrophilic molecules to pass through a membrane. are peripheral membrane proteins.

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Use the properties of exponents to generate an expression equivalent to the following expression $$ \left( \frac{s^{\frac{5}{12}}t^{-4}w^{\frac{8}{3}}}{s^2t^{-3}w^{\frac{-8}{3}}} \right)^{-6} $$

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Simple linear regression is called "ordinary least-squares regression" because it aims to find the best-fitting straight line through a set of points by minimizing the sum of the squares of the vertical distances from each point to the line. The term "ordinary" differentiates it from other forms of least-squares methods that may incorporate constraints or penalties.

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What makes the study of morality philosophical? ? The use of logic and critical reasoning. ? The study of God's revelation in history. ? The use of empirical data regarding how people behave. ? The study of federal and state laws.

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Cathy purchased an above ground pool for her children so that they would have something fun to do this summer. Her final cost with tax was $285.14. If the tax rate in her town is 6%, how much did she pay in taxes?

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14. In the network shown in Fig., each resistance is equal to $ 2 \Omega $. The resistance between the points $ A $ and $ B $ is \begin{tabular}{|c|c|c|c|} \hline$ A $ & lohm & (B) & $ 2 \mathrm{ohm} $ \\ \hline & 3ohm & D. & $ 4 \mathrm{ohm} $ \\ \hline \multicolumn{4}{|c|}{\begin{tabular}{l} 15. A 10-meter wire is bent to form a solenoid of $ 1 \mathrm{~m} $ length. The \\ resistance of solenoid will \end{tabular}} \\ \hline$ c $, & \begin{tabular}{l} Reduced by factor of 10 \\ Remain same \end{tabular} & $ \frac{B .}{D .} $ & \begin{tabular}{l} Increased by factor of 10 \\ cannot he predicted \end{tabular} \\ \hline \end{tabular}

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Texts: Paste Corporation owns 70 percent of Stick Corporation's voting common stock. On March 12, 20X2, Stick sold land it had purchased for $140,000 to Paste for $185,000. Paste plans to build a new warehouse on the property in 20X3. Required: a. Prepare the worksheet consolidation entries to remove the effects of the intercompany sale of land in preparing the consolidated financial statements at December 31, 20X2 and 20X3. (If no entry is required for a transaction/event, select "No journal entry required" in the first account field.) a1. Prepare the entry to remove the effects of the intercompany sale of land for the consolidated financial statements at 12/31/X2. a2. Prepare the entry to remove the effects of the intercompany sale of land for the consolidated financial statements at 12/31/X3. b. Prepare the worksheet consolidation entries needed at December 31, 20X3 and 20X4, if Paste had initially purchased the land for $150,000 and sold it to Stick on March 12, 20X2, for $180,000. (If no entry is required for a transaction/event, select "No journal entry required" in the first account field.) b1. Prepare the consolidation entry needed to remove the effects of the intercompany sale of land for the December 31, 20X3 consolidated financial statements. b2. Prepare the consolidation entry needed to remove the effects of the intercompany sale of land for the December 31, 20X4 consolidated financial statements.

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31. $2x^2 - 5x + 2 = (x - 3)(x - 2) + 3x$ 32. $x^2 - 7x - \frac{3}{4} = 0$ 33. $x(2x - 5) = 12$ 34. $x(2x - 1) = 10$ 35. $x(x + 7) = 14$ 36. $x^2 - 3x + 4 = 2x^2 - 7x - 8$ 37. $x + 1 - 2\sqrt{x + 4} = 0$ 38. $\sqrt{x} + x = 1$

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6. Which of the following is not characteristic of a common-collector amplifier? (a) 0° phase shift (b) Output taken from emitter (c) Low input resistance Answer:

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ruben c.