The answer is 1/3...I got this question on I-ready and I hate when I don't pass a lesson...hope this will help you guys out.
Answer:
0.50
Step-by-step explanation:
The individuals that do and do not wear glasses are evenly split, it is 2/4, therefore the probability that a teenager wears glasses AND watched TV is 0.50.
The Answer is C, my good friend.
Answer:
Facts.
Step-by-step explanation:
Answer:
![s(t)=(ln|7|+ln|2|)\,ft](https://tex.z-dn.net/?f=s%28t%29%3D%28ln%7C7%7C%2Bln%7C2%7C%29%5C%2Cft)
Step-by-step explanation:
Acceleration is second derivative of distance and are related as:
![a(t)=\frac{d^2s}{dt^2}\\\\\frac{d^2s}{dt^2}=\frac{-1}{(t+2)^2}\\](https://tex.z-dn.net/?f=a%28t%29%3D%5Cfrac%7Bd%5E2s%7D%7Bdt%5E2%7D%5C%5C%5C%5C%5Cfrac%7Bd%5E2s%7D%7Bdt%5E2%7D%3D%5Cfrac%7B-1%7D%7B%28t%2B2%29%5E2%7D%5C%5C)
Integrating both sides w.r.to t
![v(t)=\frac{ds}{dt}=\frac{1}{t+2} +C\\](https://tex.z-dn.net/?f=v%28t%29%3D%5Cfrac%7Bds%7D%7Bdt%7D%3D%5Cfrac%7B1%7D%7Bt%2B2%7D%20%2BC%5C%5C)
Using initial value
![v(0)=\frac{1}{2}\\\\\frac{1}{2}=\frac{1}{0+2} +C\\\\C=0\\\\\frac{ds}{dt}=\frac{1}{t+2}](https://tex.z-dn.net/?f=v%280%29%3D%5Cfrac%7B1%7D%7B2%7D%5C%5C%5C%5C%5Cfrac%7B1%7D%7B2%7D%3D%5Cfrac%7B1%7D%7B0%2B2%7D%20%2BC%5C%5C%5C%5CC%3D0%5C%5C%5C%5C%5Cfrac%7Bds%7D%7Bdt%7D%3D%5Cfrac%7B1%7D%7Bt%2B2%7D)
We have to calculate the distance covered in time interval [0,5], so:
![\int\limits^5_0 \frac{ds}{dt}=\int\limits^5_0 {\frac{1}{t+2}} \, dt\\\\s(t)=[ln|t+2|]^5_0\\\\s(t)=ln|5+2|+ln|0+2|\\\\s(t)=(ln|7|+ln|2|)\,ft](https://tex.z-dn.net/?f=%5Cint%5Climits%5E5_0%20%5Cfrac%7Bds%7D%7Bdt%7D%3D%5Cint%5Climits%5E5_0%20%7B%5Cfrac%7B1%7D%7Bt%2B2%7D%7D%20%5C%2C%20dt%5C%5C%5C%5Cs%28t%29%3D%5Bln%7Ct%2B2%7C%5D%5E5_0%5C%5C%5C%5Cs%28t%29%3Dln%7C5%2B2%7C%2Bln%7C0%2B2%7C%5C%5C%5C%5Cs%28t%29%3D%28ln%7C7%7C%2Bln%7C2%7C%29%5C%2Cft)