The person above me is correct
Answer:
A
Step-by-step explanation:
The function is ![\frac{1620}{1+1.15e^{-0.042t}}](https://tex.z-dn.net/?f=%5Cfrac%7B1620%7D%7B1%2B1.15e%5E%7B-0.042t%7D%7D)
To find the maximum population, we need to set t towards infinity to get our answer.
So, we replace time with maximum (
). Let's check:
![\frac{1620}{1+1.15e^{-0.042t}}\\=\frac{1620}{1+\frac{1.15}{e^{0.042t}}}\\=\frac{1620}{1+\frac{1.15}{e^{0.042(\infty)}}}\\=\frac{1620}{1+\frac{1.15}{\infty}}\\=\frac{1620}{1+0}\\=\frac{1620}{1}\\=1620](https://tex.z-dn.net/?f=%5Cfrac%7B1620%7D%7B1%2B1.15e%5E%7B-0.042t%7D%7D%5C%5C%3D%5Cfrac%7B1620%7D%7B1%2B%5Cfrac%7B1.15%7D%7Be%5E%7B0.042t%7D%7D%7D%5C%5C%3D%5Cfrac%7B1620%7D%7B1%2B%5Cfrac%7B1.15%7D%7Be%5E%7B0.042%28%5Cinfty%29%7D%7D%7D%5C%5C%3D%5Cfrac%7B1620%7D%7B1%2B%5Cfrac%7B1.15%7D%7B%5Cinfty%7D%7D%5C%5C%3D%5Cfrac%7B1620%7D%7B1%2B0%7D%5C%5C%3D%5Cfrac%7B1620%7D%7B1%7D%5C%5C%3D1620)
The population of birds approaches 1620 as t goes towards infinity. So we can say the max population of the species is 1620.
Correct answer is A
Answer:
84 days
Step-by-step explanation:
You would use the LCM to solve this.
12 and 7 don't share any common factors other than 1,
so you would multiply 12 x 7, which gets you 84.
After 84 days they would have raised the same amount.
Answer:
D.No, because some models of cell phones will have a larger market share than others. Measures from different models should be weighted according to their size in the population.
Step-by-step explanation:
(a) Range is the difference between the smallest and largest observation.
Here Smallest observation = 0.63
and Largest observation = 1.48
⇒ Range = 0.85
(b) Standard Deviation is calculate by,
![Standard deviation(\sigma) = \sqrt{\frac{1}{n}\sum_{i=1}^{n}{(x_{i}-\bar{x})^{2}} }](https://tex.z-dn.net/?f=%20Standard%20deviation%28%5Csigma%29%20%3D%20%5Csqrt%7B%5Cfrac%7B1%7D%7Bn%7D%5Csum_%7Bi%3D1%7D%5E%7Bn%7D%7B%28x_%7Bi%7D-%5Cbar%7Bx%7D%29%5E%7B2%7D%7D%20%7D)
where,
is mean of the observation.
Here, Mean = 0.988
⇒ Standard Deviation = 0.313
(c) Variance is the square of Standard deviation.
Thus, Variance = (Standard Deviation)² = 0.098
(d) Here last option(D) is true i.e. No, because some models of cell phones will have a larger market share than others. Measures from different models should be weighted according to their size in the population.