Answer:
Select the correct answer.
Scientists studying biodiversity of amphibians in a rain forest have discovered that the number of species is decreasing by 2% per year. There are currently 74 species of amphibians in the rain forest. Which logarithmic function models the time, , in years, it will take the number of species to decrease to a value of n?
The answer is D.
Step-by-step explanation:
The expected length of code for one encoded symbol is
where 
is the probability of picking the letter 
, and 
is the length of code needed to encode . is given to us, and we have
so that we expect a contribution of
bits to the code per encoded letter. For a string of length 
, we would then expect ![E[L]=1.375n](https://tex.z-dn.net/?f=E%5BL%5D%3D1.375n)
.
By definition of variance, we have
![\mathrm{Var}[L]=E\left[(L-E[L])^2\right]=E[L^2]-E[L]^2](https://tex.z-dn.net/?f=%5Cmathrm%7BVar%7D%5BL%5D%3DE%5Cleft%5B%28L-E%5BL%5D%29%5E2%5Cright%5D%3DE%5BL%5E2%5D-E%5BL%5D%5E2)
For a string consisting of one letter, we have
so that the variance for the length such a string is
"squared" bits per encoded letter. For a string of length , we would get ![\mathrm{Var}[L]=1.859n](https://tex.z-dn.net/?f=%5Cmathrm%7BVar%7D%5BL%5D%3D1.859n)
.
Answer:
24 es la b espero que te sirva
By solving an absolute value equation, we will see that the two solutions are:
x = 49 and x = -41
<h3>
How to solve the equation for x?</h3>
First, we need to write the equation, we will get:
(1/5)*|x - 4| - 3 = 6
That is an absolute value equation, first let's isolate the absolute value part on the left side, so we get:
(1/5)*|x - 4| = 6+ 3 = 9
|x - 4| = 9*5 = 45
Now we have the simpler equation:
|x - 4| = 45
Which can be written in two ways:
x - 4 = 45
x - 4 = -45
So we will have two solutions for x:
x = 45 + 4 = 49
x = -45 + 4 = -41
These are the two possible values of x.
If you want to learn more about absolute value equations:
brainly.com/question/5012769
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