Answer:
A. True
Step-by-step explanation:
The general formula for predicting an outcome in a binomial probability distribution function is: nCx(p)^x(q)^(n-x)
where p is the probability of success and q is the probability of failure
From the above formula; nCx represent the number of ways of obtaining x successes in n trials.
nCx is a combination computation and combination helps to determine in how many ways a certain outcome is possible.
Answer:
112x-420
Step-by-step explanation:
(5x + 9) (8x - 30)
distribute 5x into (8x-30)
then same with 9 into (8x-30)
then combine like terms and u will get da answer
hope this helps with da pic dat i attach
You have 28 meters of fence to make 3 sides.
28/3 = 9.3333
The pen will be 9.3333 by 9.3333 meters
Answer:
<em>There are approximately 114 rabbits in the year 10</em>
Step-by-step explanation:
<u>Exponential Growth
</u>
The natural growth of some magnitudes can be modeled by the equation:

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.
We are given two measurements of the population of rabbits on an island.
In year 1, there are 50 rabbits. This is the point (1,50)
In year 5, there are 72 rabbits. This is the point (5,72)
Substituting in the general model, we have:

![50=P_o(1+r)\qquad\qquad[1]](https://tex.z-dn.net/?f=50%3DP_o%281%2Br%29%5Cqquad%5Cqquad%5B1%5D)
![72=P_o(1+r)^5\qquad\qquad[2]](https://tex.z-dn.net/?f=72%3DP_o%281%2Br%29%5E5%5Cqquad%5Cqquad%5B2%5D)
Dividing [2] by [1]:

Solving for r:
![\displaystyle r=\sqrt[4]{\frac{72}{50}}-1](https://tex.z-dn.net/?f=%5Cdisplaystyle%20r%3D%5Csqrt%5B4%5D%7B%5Cfrac%7B72%7D%7B50%7D%7D-1)
Calculating:
r=0.095445
From [1], solve for Po:



The model can be written now as:

In year t=10, the population of rabbits is:

P = 113.6

There are approximately 114 rabbits in the year 10