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# What is the appropriate balance between government and freedom in the american democracy

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eason for each effect. i) A capacitor creates an electric field which is then observed in another frame of reference. The field is perpendicular to the direction of motion. ii) A capacitor creates an electric field which is then observed in another frame of reference. The field is parallel to the direction of motion. iii) A long wire creates a magnetic field which is then observed in another frame of reference moving along the wire. Comment on what types of forces would be experienced by a charged particle (e.g. an electron) that is stationary in the frames of the capacitor and wire. Discuss why fields parallel to the direction of motion do not show any effect. Include appropriate diagrams and/or sketches.
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e the demographic status in detail. Q2. What is the expenditure pattern of respondents by sex, education and occupation? Use appropriate statistical methods to describe the answer. Q3. Does type of bank account affect income? Explain with the help of data and fig. Q 4. What is relationship between age and different kind of expenditure (food, education and health)? Explain with the help of appropriate statistical results. Q.5 Use the appropriate statistical methods to test the following null hypothesis: a. There is no association between gender and occupation. b. There is no significant relationship between income and expenditure. c. There is no significant relationship between age and health expenditure. d. There is no significant relationship between age and total expenditure. e. Health expenditure of male is not significantly different from female. Q 6. What is the impact of income and age on education expenditure, health expenditure and total expenditure? Explain with the help of regression analysis.
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2,3,4,7). If it lands tails, a fair six-sided die is thrown (with values 3,4,5,6,7,9). Regardless of which die is used, Alice eats n grains of rice, where n is the largest prime factor of the die result (for example, the largest prime factor of 9 is 3). (a) What is the conditional probability that the coin lands heads, given that Alice eats three grains of rice? (b) Suppose that the entire experiment is conducted twice on the following day (starting with a new coin toss on the second run-through). What is the conditional probability that the coin lands heads on both run-throughs, given that Alice eats a total of five grains of rice during the two run-throughs? (Do not count the two grains from part (a) in part (b); we assume two brand new experiments, each with a new coin toss. Start your solution by defining a suitable partition of the sample space. Please use an appropriate notation and/or justification in words, for each value that you give as part of your solution.) Exercise 5) Alice and Bob throw an unfair coin repeatedly, with probability 2/5 of landing heads. Alice starts with £2 and Bob starts with £3 . Each time the unfair coin lands heads, Alice gives Bob £1 . Each time the unfair coin lands tails, Bob gives Alice £1 . The game ends when one player has £5 . (a) Draw a labelled Markov chain describing the problem, and write down a transition matrix P. Write down the communication classes, and classify them as either recurrent or transient. (b) Using the transition matrix, calculate the probability that Alice loses all of her money in exactly four tosses of the unfair coin. (c) Calculate the (total) probability that Alice loses all of her money (before Bob loses all of his). (d) Calculate the expected (mean) number of tosses of the unfair coin, for the game to end.
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BASED ON POSTED NOTES AND CLASS LECTURE ONLY. IF YOU USE/CITE OTHER SOURCES, POINTS WILL BE DEDUCTED. Most responses should be at least four sentences. 1. Summarize the "Solitary Confinement" video. After watching this video, do you believe that this form of punishment is appropriate and/or effective in rehabilitating criminals? 2. Based on class lecture/notes, summarize Ross Chambers theory regarding “unexamined" individuals in society. 3. How are gender, race and aging interrelated? 4. What are the strengths and drawbacks of capitalism? What are the strengths and drawbacks of socialism? How are politics and economics interrelated? 5. Summarize any section of the class lecture/notes that resonated most with you (and that you were not asked about on any formal assessment such as the mid-term examination or other assignment).
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u decide that you should sell at least thirty items, but do not want to exceed 120 items. Based on a small survey of students, you also decide that the number of T-shirts should be at least twice the number of sweatshirts. A. Assign variables to the unknown quantities and write a system of inequalities that model the given restrictions. B. Graph the system, indicating an appropriate window and scale and shading the feasible region. C. Determine the vertices of the polygonal feasible region. D. Assume the profit on each sweatshirt is \$5 and the profit on each T-shirt is \$2. What is the maximum profit you can obtain? E. How many sweatshirts and how many T-shirts should you sell to maximize your profit?
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