To determine the number of squirrels in a conservation area a researcher cashers tags and releases 114 squirrels you later catch
1 answer:
Answer:
336 squirrels
Step-by-step explanation:
-This is a Mark-Recapture method.
-The population is estimated using the formula:
where:
- N-is the estimated population size.
- M-is the number of individuals tagged
- C- is the total number captured the second time(both tagged and untagged)
- R-is the total number of tagged individuals recaptured.
#We substitute our values as follows to estimate N:
Hence, there are approximately 336 squirrels in the conservation area.
*population is always rounded up to the next whole number.
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Answer:
Step-by-step explanation:
In order to solve this exercise it is important to remember the multiplication of signs. Notice that:
In this case you have the following expression given in the exercise:
Where the variable is "j".
When you multiply signs, you get:
Now you need to identify that like terms and then you need to add them (or combine them). So, applying this procedure you get that the simplified form of the expression is the shown below:
As you can observe, you get a 2nd degree binomial.
2 times what = -4?
-2 does
-2 x 2 = -4
-4 time what = 8?
Again, -2.
-2 x -4 = 8
You could do this over and over again or make a table, or you can make a function.
f(n) = f(1) • r
f(1) in this case is 2.
f(n) = 2 • r
r is rate of change, which is -2.
f(n) = 2 • -2
To find the 12th number in the sequence, just substitute n for 12.
f(12) = 2 • -2
f(12) = 2 • -2
-2^11 = -2048
2 x -2048 = -4096
So the 12th number in the sequence will be -4096.
-2 does
-2 x 2 = -4
-4 time what = 8?
Again, -2.
-2 x -4 = 8
You could do this over and over again or make a table, or you can make a function.
f(n) = f(1) • r
f(1) in this case is 2.
f(n) = 2 • r
r is rate of change, which is -2.
f(n) = 2 • -2
To find the 12th number in the sequence, just substitute n for 12.
f(12) = 2 • -2
f(12) = 2 • -2
-2^11 = -2048
2 x -2048 = -4096
So the 12th number in the sequence will be -4096.