What is the true solution to ln 20 + ln 5 = 2 ln x ?
x=5
x=10
x=50<...
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Mathematics, 06.06.2020 10:58 dirtridersteve65
What is the true solution to ln 20 + ln 5 = 2 ln x ?
x=5
x=10
x=50
x=100
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Answers: 3
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Aprisoner is trapped in a cell containing three doors. the first door leads to a tunnel that returns him to his cell after two days of travel. the second leads to a tunnel that returns him to his cell after three days of travel. the third door leads immediately to freedom. (a) assuming that the prisoner will always select doors 1, 2 and 3 with probabili- ties 0.5,0.3,0.2 (respectively), what is the expected number of days until he reaches freedom? (b) assuming that the prisoner is always equally likely to choose among those doors that he has not used, what is the expected number of days until he reaches freedom? (in this version, if the prisoner initially tries door 1, for example, then when he returns to the cell, he will now select only from doors 2 and 3.) (c) for parts (a) and (b), find the variance of the number of days until the prisoner reaches freedom. hint for part (b): define ni to be the number of additional days the prisoner spends after initially choosing door i and returning to his cell.
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Mathematics, 22.06.2019 01:10
Evaluate 8x2 + 9x β 1 2x3 + 3x2 β 2x dx. solution since the degree of the numerator is less than the degree of the denominator, we don't need to divide. we factor the denominator as 2x3 + 3x2 β 2x = x(2x2 + 3x β 2) = x(2x β 1)(x + 2). since the denominator has three distinct linear factors, the partial fraction decomposition of the integrand has the formβ 8x2 + 9x β 1 x(2x β 1)(x + 2) = correct: your answer is correct. to determine the values of a, b, and c, we multiply both sides of this equation by the product of the denominators, x(2x β 1)(x + 2), obtaining 8x2 + 9x β 1 = a correct: your answer is correct. (x + 2) + bx(x + 2) + cx(2x β 1).
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