Mathematics, 20.02.2020 17:45 talia43
A shipping company handles containers in three different sizes: (1) 27 ft3 (3 Ý 3 Ý 3), (2) 125 ft3, and (3) 512 ft3. Let Xi (i = 1, 2, 3) denote the number of type i containers shipped during a given week. With?1 = 230 ?2 = 240 ?3 = 120?1 = 11 ?2 = 12 ?3 = 7(a) Assuming that X1, X2, X3 are independent, calculate the expected value and variance of the total volume shipped. [Hint: Volume = 27X1 + 125X2 + 512X3.]expected value ft3variance ft6(b) Would your calculations necessarily be correct if the Xi's were not independent?
Answers: 1
Mathematics, 22.06.2019 00:50
The students in a class were asked how many siblings they have. the data obtained is represented in the dot plot. the number of students who have no siblings is . the number of students who have three or more siblings is .
Answers: 1
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) − 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
Answers: 2
Mathematics, 22.06.2019 02:30
The volume of a spherical hot air balloon v(r) = 4 3 ? r3 changes as its radius changes. the radius is a function of time given by r(t) = 3t. find the instantaneous rate of change of the volume with respect to t at t = 2.
Answers: 3
A shipping company handles containers in three different sizes: (1) 27 ft3 (3 Ý 3 Ý 3), (2) 125 ft3,...
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