The sequence below shows a certain company’s expected net worth, in millions of dollars, after 1, 2, 3, and 4 years (and so on). 14.5, 13.1, 11.7, 10.3, …

Which function models the n^th term of this sequence, for n= 1,2,3,4, …?

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An equation of the line tangent to y=x^3+3x^2+2 at its point of inflection is

The probability that a college student belongs to a health club is 0.3. the probability that a college student lives off-campus is 0.4. the probability that a college student belongs to a health club and lives off-campus is 0.12. find the probability that a college student belongs to a health club or lives off-campus. tip: p(a or b) = p(a) + p(b) - p(a and b) 0.54 0.58 0.70 0.82

An optical inspection system is used to distinguish among different part types. the probability of a correct classification of any part is 0.92. suppose that three parts are inspected and that the classifications are independent. let the random variable x denote the number of parts that are correctly classified. determine the probability mass function of x. round your answers to four decimal places (e.g. 98.7654). x f(x) 0 1 2 3