answer:To compute the mean, we first need to find the sum of the given numbers: frac{3}{sqrt{5}} + frac{7}{sqrt{5}} + 2 sqrt{5} - frac{17}{sqrt{5}} = left(frac{3}{sqrt{5}} + frac{7}{sqrt{5}} - frac{17}{sqrt{5}}right) + 2 sqrt{5} = frac{-7}{sqrt{5}} + 2 sqrt{5} = frac{-7}{sqrt{5}} cdot frac{sqrt{5}}{sqrt{5}} + 2 sqrt{5} cdot frac{sqrt{5}}{sqrt{5}} = frac{-7 sqrt{5}}{5} + frac{10 sqrt{5}}{5} = frac{3 sqrt{5}}{5} Then, we divide the sum by the number of numbers to get the mean: frac{frac{3 sqrt{5}}{5}}{4} = frac{1}{4} left(2 sqrt{5} - frac{7}{sqrt{5}}right) Therefore, the mean of the given numbers is frac{1}{4} left(2 sqrt{5} - frac{7}{sqrt{5}}right). The answer is frac{1}{4} left(2 sqrt{5} - frac{7}{sqrt{5}}right)

answer:Direct material used: 50,000 Direct labor: 26,000 Indirect labor: 4,800 Manufacturing supplies used: 3,000 Manufacturing depreciation: 15,000 Manufacturing overhead applied: 21,000 Miscellaneous manufacturing overhead: 3,900 Total manufacturing costs incurred: 50,000 + 26,000 + 4,800 + 3,000 + 15,000 + 21,000 + 3,900 = 123,700

answer:The conversion of 0.56 to base 35 is represented as text{0.jl}_{35}. Here, the digit 'j' corresponds to the value 10 in base 35, and 'l' represents 11 since we are using letters to denote numbers beyond 9 in this base.

answer:The probability of a person entering the library being a cute boy, denoted as 'p', is 0.50. This means the probability of a person not being a cute boy, denoted as 'q', is 0.50 (since q = 1 - p). Alysha's bet involves 20 people, with exactly 12 of them being cute boys. We can calculate the probability (P) of this event using the binomial probability formula: {eq}begin{align*} P(X=12) &= _{20}^{n}textrm{C} cdot p^{12} cdot q^{n-12} quad text{where } n = 20 &= _{20}^{20}textrm{C} cdot (0.5)^{12} cdot (0.5)^{20-12} &= 125970 cdot (0.5)^{12} cdot (0.5)^{8} &= 125970 cdot (0.5)^{20} &approx 0.120134 end{align*} {/eq} The probability that Alysha will win the bet is approximately 0.120134, or 12.0134%.