The population Pa of insect A after t years is given by the equation
Pa = 1.3(1-0.038)^t
while the population Pb of insect B after t years is
Pb = 2.1(1-0.046)^t
We equate the above expressions to find the number of years t it will take the two populations to be equal:
Pa = Pb
1.3(1-0.038)^t = 2.1(1-0.046)^t
1.3(0.962)^t = 2.1(0.954)^t
These are the equations that can be used to determine how long it will be before the populations of the two species are equal.
We can now solve for t:
(0.962)^t / (0.954)^t = 2.1/1.3
(0.962/0.954)^t = 2.1/1.3
After taking the log of both sides of our equation, number of years t is
t = log (2.1/1.3) / log (0.962/0.954)
t = 57 years
Therefore, it will take 57 years for the population of insect A to equal the population of insect B.
Answer:
One: Median = 2
Two: Mean = 3.25
Step-by-step explanation:
One
Put the dots in order
1 1 1 2 2 3 3
There are seven groups altogether.
The middle one is a 2.
The median is 2.
Two
The mean is the average.
The average of the 4 groups is
1 3 6 3 = 13
The average is the sum of the dots.
13/4 = 3.25
Answer:
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Step-by-step explanation:
