I don't really get the question but if you mean 11x-14 it's 52
Answer:
(-1, -1/2)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates and divide by 2
( -11+9)/2 = -2/2 = -1
To find the y coordinate of the midpoint, add the y coordinates and divide by 2
(0+-1)/2 = -1/2
(-1, -1/2)
Answer:
See verification below
Step-by-step explanation:
We can differentiate P(t) respect to t with usual rules (quotient, exponential, and sum) and rearrange the result. First, note that
![1-P=1-\frac{ce^t}{1+ce^t}=\frac{1+ce^t-ce^t}{1+ce^t}=\frac{1}{1+ce^t}](https://tex.z-dn.net/?f=1-P%3D1-%5Cfrac%7Bce%5Et%7D%7B1%2Bce%5Et%7D%3D%5Cfrac%7B1%2Bce%5Et-ce%5Et%7D%7B1%2Bce%5Et%7D%3D%5Cfrac%7B1%7D%7B1%2Bce%5Et%7D)
Now, differentiate to obtain
![\frac{dP}{dt}=(\frac{ce^t}{1+ce^t})'=\frac{(ce^t)'(1+ce^t)-(ce^t)(1+ce^t)'}{(1+ce^t)^2}](https://tex.z-dn.net/?f=%5Cfrac%7BdP%7D%7Bdt%7D%3D%28%5Cfrac%7Bce%5Et%7D%7B1%2Bce%5Et%7D%29%27%3D%5Cfrac%7B%28ce%5Et%29%27%281%2Bce%5Et%29-%28ce%5Et%29%281%2Bce%5Et%29%27%7D%7B%281%2Bce%5Et%29%5E2%7D)
![=\frac{(ce^t)(1+ce^t)-(ce^t)(ce^t)}{(1+ce^t)^2}=\frac{ce^t+ce^{2t}-ce^{2t}}{(1+ce^t)^2}=\frac{ce^t}{(1+ce^t)^2}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%28ce%5Et%29%281%2Bce%5Et%29-%28ce%5Et%29%28ce%5Et%29%7D%7B%281%2Bce%5Et%29%5E2%7D%3D%5Cfrac%7Bce%5Et%2Bce%5E%7B2t%7D-ce%5E%7B2t%7D%7D%7B%281%2Bce%5Et%29%5E2%7D%3D%5Cfrac%7Bce%5Et%7D%7B%281%2Bce%5Et%29%5E2%7D)
To obtain the required form, extract a factor in both the numerator and denominator:
![\frac{dP}{dt}=\frac{ce^t}{1+ce^t}\frac{1}{1+ce^t}=P(1-P)](https://tex.z-dn.net/?f=%5Cfrac%7BdP%7D%7Bdt%7D%3D%5Cfrac%7Bce%5Et%7D%7B1%2Bce%5Et%7D%5Cfrac%7B1%7D%7B1%2Bce%5Et%7D%3DP%281-P%29)
<h3>
Answer:</h3>
or 25.71%.
Probability is the likelihood of an event occurring. The desired outcomes are known as successful outcomes. In this scenario, the successful outcomes are when a junior is selected. The sample size is the total number of students.
<h3>
Probability as a Fraction</h3>
Simple probability (the probability of 1 event) can easily be found as a fraction. For the fraction, the number of successful outcomes should be the numerator and the sample size is the denominator.
This means that the probability of selecting a junior is
.
<h3>
Probability as a Percentage</h3>
In this case, it is easiest to first find the probability as a fraction, but we can then convert it to a percentage if desired.
To convert to the fraction divide the numerator and denominator (I'm rounding to 4 decimal places).
Then, multiply this decimal by 100, which is the equivalent of moving the decimal point 2 digits to the left.