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Mathematics, 23.12.2019 19:31 brookieharrisop5n7us
Establishing the properties of materials is an important problem in identifying a suitable substitute for biodegradable materials in the fast food packaging industry. consider the following data on product density (g/cm3) and thermal conductivity k-factor (w/mk) published in materials research and innovation (1999, pp 2-8). thermal conductivity, y product density, x 0.049000 0.185000 0.053500 0.23 0.055000 0.235000 0.054500 0.236000 0.058000 0.26 0.062000 0.286500 (a) create a scatter diagram of the data. what do you anticipate will be the sign of the sample correlation coefficient? (b) compute to 4 decimal places the sample correlation. hint: carry all calculations out to six (6) significant digits.
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Mathematics, 22.06.2019 02:00, AnastasiaJauregui
If p(x) is the total value of the production when there are x workers in a plant, then the average productivity of the workforce at the plant is a(x) = p(x) x . (a) find a'(x). a'(x) = xp'(x) − p(x) x a'(x) = xp'(x) − p(x) x2 a'(x) = p'(x) − p(x) x a'(x) = xp'(x) − p'(x) x2 a'(x) = p'(x) − xp(x) x2 why does the company want to hire more workers if a'(x) > 0? a'(x) > 0 ⇒ a(x) is ; that is, the average productivity as the size of the workforce increases. (b) if p'(x) is greater than the average productivity, which of the following must be true? p'(x) − xp(x) > 0 p'(x) − xp(x) < 0 xp'(x) − p'(x) > 0 xp'(x) − p(x) < 0 xp'(x) − p(x) > 0
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