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Question - The populations of two countries, A and B, are assumed to grow according to the Malthusian model, Country A with growth constant k = 0.005 and Country B with growth constant k = 0.01. Let PA(t) and PB(t) denote the sizes of the two populations at time t.
(a) If the initial population sizes at some initial time t = 0 are 10000 for country A, and 2000 for Country B, when will the population sizes be the same?
(b) Give an example of an initial population size for A and an initial population size for B, such that the populations are never going to be the same size for any time t > 0.
(c) Prove that the ratio of the sizes of the populations,
R(t) = PA(t)/PB(t),
also obeys a Malthusian model. What is its growth constant?
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E = z / 2 A sample of the reading scores of 35 fifth-graders has a mean of 82. The standard deviation of the sample is 15. a. Find the 95% confidence interval of the mean reading scores of all fifthgraders.
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