Let's think about the information in the problem. The problem tells us a few key points:
- The number of rabbits grows exponentially
- We start with 20 rabbits (
, 
) - After 6 months (
), we have 100 rabbits (
)
Since we know we are going to be working with an exponential model, we can start with a base exponential model:
is the principal, or starting amount
is the growth/decay rate (in this case, growth)
is the number of months
is the number of rabbits
Based on the information in the problem, we can create two equations:
The first equation tells us that 
, or that we start with 20 rabbits. Thus, we can change the second equation to:
Now, we don't know , but we want to, so let's solve for it.
![r = \sqrt[6]{5}](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5B6%5D%7B5%7D)
Now, the problem is asking us how many rabbits we are going to have after one year (
), so let's find that:
![a = 20 \cdot (\sqrt[6]{5})^{12}](https://tex.z-dn.net/?f=a%20%3D%2020%20%5Ccdot%20%28%5Csqrt%5B6%5D%7B5%7D%29%5E%7B12%7D)
After one year, we will have 500 rabbits.
That 2 means we multiply 4 by itself 2 times, and -4 x -4 = positive 16.
~Deceptiøn
Answer:
Red: y=(x+6)^2-1
Blue: y=-(x+3)^2+1
Green: y=(x^2-1)
Orange: y=-(x-3)^2+1
Purple: y=(x-6)^2-1
Step-by-step explanation:
Use Desmos to check
A binomial distribution has the following properties;
1. There is a fixed number of trials.
2. Each trial is independent of the others.
3.Each trial has a constant probability of success.
4. There are only two possible outcomes, 'success' and 'failure'.
Statements B and D meet the requirements for the variable X to have a binomial distribution.
Answer:
1/18 (5.5%)
Step-by-step explanation:
You have a 1/3 chance to get red the first time and a 1/6 to get blue the second. So to find the compound probability of this you multiply 1/3*1/6.
