Numerade

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Question 24 1 pts Conflict theorists argue that placing students in different academic tracks is based primarily on: impartial, unbiased standardized tests random selection of students the social characteristics of students, such as their race, sex, and social class, with minority male students tracked into special education classes the natural, biological abilities of students

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Describe how the glomerular capillary ultrafiltration coefficient, Kf, is dynamically controlled by mesangial cells in renal filtration.

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Evaluate the integral by making an appropriate change of variables.\\ $\iint_R 5 \sin(49x^2 + 4y^2) dA$, where $R$ is the region in the first quadrant bounded by the ellipse $49x^2 + 4y^2 = 1$

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6. The rate constant for the second-order reaction (shown below) is 0.54 M?¹s?¹ at 300°C. 2NO? (g) ? 2NO (g) + O? (g) What is the concentration of NO? after 7.4 s if the initial concentration of NO? is 0.65M?

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Write the polynomial in factored form as a product of linear factors: h(a) = a³ + 4a² + a + 4

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A relay microchip in a telecommunications satellite has a life expectancy that follows a normal distribution with a mean of 90 months and a standard deviation of 3.7 months. When this computer relay microchip malfunctions, the entire satellite is useless. A large insurance company is going to ensure that the satellite for $50 million. Assume that the only part of the satellite in question is the microchip. All other components will work indefinitely. 25. If the satellite is insured for 84 months, what is the probability that it malfunctions before the insurance coverage ends? 0.05 26 26. If the satellite is insured for 84 months, what is the expected loss to the insurance company? 27. If the insurance company charges $3 million for 84 months of insurance, how much profit does the company expect to make?

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The solution to the recurrence relation $T(n) = 32T(n/4) + \frac{n^2 \sqrt{n}}{\log n}$ is $T(n) = \Theta(?)$. a. $n^{2.5} \log \log n$ b. None of the other choices c. $\frac{n^2 \sqrt{n}}{\log n}$ d. $n^8$

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QUESTION 6 (30 Marks) a) Research that investigates an accessible population, whose population parameters are homogenous homogenous population parameters would be a group of isiZulu speaking male employees of the same age (5 marks) same educational background and level, and residing in the same geographical area. Reformulate this description to represent a heterogeneous population. b) Assuming that you want to cross-analyse two variables (e.g. men and women), a larger sample is needed. What this means is that, the size of the sample to be drawn largely depends on both the homogeneity of the accessible population, as well as the objective of the research. Doing a simple random sampling implies that each unit of analysis in the accessible population has got the same chance of being included in the sample.Assuming that the accessible population comprises 8000 employees,each employee has an equal chance of being selected. The extent to which the sample drawn will correspond with the accessible population can be calculated in advance by calculating s (the standard error Based on the data given herein, what would be the standard error, if you are to draw a simple random sample of 100 employees from an accessible population of 8000, of which 4800 are males and 3200 are females? (5 marks) iiIf you double the sample size to 200, what would be the standard error? (2 marks) c) Validity addresses the issue of whether the researcher is actually measuring what he/ she has set out to do. There are four specific types of validity - each of which the researcher would ideally want to establish for the research instrument prior to administering it for the actual study. In light of the above, indicate the type of validity that describes the statements given below: (8 marks for i- iv) i) This type includes statistical tests and logical argument i) This type involves a group of people and content related evidence iii) A potential challenge with this type is that one may fail to formulate the criteria to be used before actually checking the scores iv) One challenge with this type is that people may be biased in terms of their judgement d) The validity and reliability of the interviews and surveys can easily be distorted if the measuring instrument is inappropriate. In view of this, highlight the major differences between interviews and self- administered questionnaires (5 marks). In doing so, indicate some of the challenges related to the implementation of these data collection tools (5 marks) (10marks)

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$U = 2V \left( \frac{l+d}{l} \right)$ $P = 2 \frac{m}{l} V^2$ $\frac{\rho}{\rho_0} = \frac{2d+2l}{2d+l}$ $\rho_0 = \frac{m}{l+d}$

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Suppose Nick has a Von Neumann Morgenstern utility of U = I, where U is utility, I is income, and C is wedding costs. Nick has met the woman of his dreams, Priyanka, and plans to marry her. For a beach wedding, Nick knows there is a 0.5 probability that the wedding will be delayed or relocated because of severe weather. If the wedding is not delayed, Nick's income is $810,000. If the wedding is delayed or relocated, it will cost Nick more money and his income will only be $640,000. Recall from problem set 5: Without insurance, Nick's E(U) = 810,000 * 0.5 + 640,000 * 0.5 = 725,000 Let's make it even simpler and just say that Nick's income is $810,000 if the wedding is NOT delayed and $640,000 if the wedding is delayed. If the wedding is not delayed, Nick's income is $810,000. Nick is therefore willing to pay the following to avoid the risk of a wedding delay: 810,000 - P > 725,000 (square both sides) 810,000 - P > 525,625 P < 284,375 What is Nick's certainty equivalent income after wedding costs? That is, what certain income after wedding costs is he willing to accept, rather than accept the uncertain income associated with the risk of wedding delay/relocation? Hint: you almost have it from the answer above. b. If Nick buys insurance at the P you found in part c AND the wedding is NOT relocated or delayed, his income will be (don't forget the premium and show your work): 810,000 - P If Nick buys insurance at the P you found in part c, AND the wedding is relocated or delayed, the insurance company will pay him the difference between the client's income if the wedding is relocated/delayed and his income if it is not relocated/delayed. o What is this difference? (hint: just subtract the two incomes from each other) 810,000 - 640,000 = 170,000 o What is Nick's income if the wedding is delayed? (don't forget the premium) 640,000 + P d. Joe also has a Von Neumann Morgenstern utility of U = 7. Like Nick, Joe has an annual income of $810,000 if the wedding goes as planned, but only $640,000 in the event of inclement weather. However, Joe is willing to pay P = $121,100 to guarantee an income after wedding costs of $810,000 - P no matter whether the wedding is delayed or not, where P is the insurance premium. Intuitively, is Joe's probability of inclement weather higher or lower than Nick's? Explain. e. Let r be the probability that Joe needs wedding insurance. What is r for Joe? Show your work.

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brent v.