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Roberta has collected a set of data and calculated the mean to be 34. The set contains 75 numbers, but Roberta gets an email tel
2 answers:
Answer:
C) New Mean = 33.8
Step-by-step explanation:
Mean of collected set of data = 34
Total number of observations = 75
Mean =
Thus, we can calculate the sum of observations as : Mean × Total number of observations = 2550
5 new numbers were added to data: 23, 26, 32, 33, 40
New sum of observations = 2550 + 23 + 26 + 32 + 33 + 40 = 2704
New total number of observations = 75 + 5 = 80
New Mean = =
= 33.8
Thus, option C) 33.8 is the new mean.
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Answer:
D = L/k
Step-by-step explanation:
Since A represents the amount of litter present in grams per square meter as a function of time in years, the net rate of litter present is
dA/dt = in flow - out flow
Since litter falls at a constant rate of L grams per square meter per year, in flow = L
Since litter decays at a constant proportional rate of k per year, the total amount of litter decay per square meter per year is A × k = Ak = out flow
So,
dA/dt = in flow - out flow
dA/dt = L - Ak
Separating the variables, we have
dA/(L - Ak) = dt
Integrating, we have
∫-kdA/-k(L - Ak) = ∫dt
1/k∫-kdA/(L - Ak) = ∫dt
1/k㏑(L - Ak) = t + C
㏑(L - Ak) = kt + kC
㏑(L - Ak) = kt + C' (C' = kC)
taking exponents of both sides, we have
When t = 0, A(0) = 0 (since the forest floor is initially clear)
So, D = R - A =
when t = 0(at initial time), the initial value of D =