Take 2.25 and multiply by each answer, then use 750 and record the total. Next, multiply 3.25 with each answer in ascending order, adjusting the figures until you reach the precise amount. For example, D indicates that for 760, 2.25 times 760 yields 2460, and multiplying by 3.25 gives you 2570. You save 10 dollars, enabling you to cover the costs for food and the band.
A.) P(t) = P0e^(kt)
P(20/60) = 40 e^(20k/60)
80 = 40 e^(k/3)
e^(k/3) = 80/40 = 2
k/3 = ln(2)
k = 3ln(2)
b.) P(8) = 40(2)^24 = 40(16777216) = 671088640 cells
d.) Rate of change = e^(8k) = e^(8(3ln(2))) = e^(24ln(2)) = e^(16.6355) = 16777216 cells/hour
e.) P(t) = 40(2)^(3t); t in hours
1,000,000 = 40(8)^t
25,000 = 8^t
ln(25,000) = t ln(8)
t = ln(25,000)/ln(8) = 4.87 hours
Answer:
Step-by-step explanation:
Imagine having a collection of n biased coins, and you draw m<n of them without replacement, subsequently measuring each coin i for its parameter pi∈[0,1], indicating that each coin behaves as Bernoulli(pi). Now, I am curious to determine the most probable pm+1 for the next coin I choose. The only method I can think of is calculating the average of the parameters of the m coins sampled thus far, which can be expressed as: p^m+1=p1+…+pmm.
