What is the domain of g?
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Mathematics, 21.06.2019 19:30
He mass of a single atom of carbon can be found by dividing the atomic mass (12.01 g) by 6.022 x 10^23. which is the mass of a single carbon atom, correctly written in scientific notation with the correct number of significant figures?
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Mathematics, 21.06.2019 22:30
Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event aΓ’β Β΅ect the mean and standard deviation of the wait time until success?
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Mathematics, 22.06.2019 02:00
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) β p(x) x a'(x) = xp'(x) β p(x) x2 a'(x) = p'(x) β p(x) x a'(x) = xp'(x) β p'(x) x2 a'(x) = p'(x) β xp(x) x2 why does the company want to hire more workers if a'(x) > 0? a'(x) > 0 β 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) β xp(x) > 0 p'(x) β xp(x) < 0 xp'(x) β p'(x) > 0 xp'(x) β p(x) < 0 xp'(x) β p(x) > 0
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