Answer g(x)=x2 + 2
Step-by-step explanation:
We have to calculate the area of the box.
area (box)=2(lenght x width) + 2(lenght x height) +2(width x height)
area (box)=2(15 in x 7 in) + 2(15 in x 9 in) + 2(7 in x 9 in)=
=2(105 in²)+2(135 in²)+2(63 in³)=210 in²+270 in²+126 in²=606 in².
Answer: she need 606 in² of wrapping paper.
-40
Explanation:
(-7+2) would equal -5, then you multiply -5 by 8 and you get -40.
Answer: The expected waiting time is ![1\dfrac{2}{3}\ min](https://tex.z-dn.net/?f=1%5Cdfrac%7B2%7D%7B3%7D%5C%20min)
Step-by-step explanation:
Since we have given that
Average waiting time for slow elevator = 3 min
Average waiting time for fast elevator = 1 min
probability that a person choose the fast elevator = ![\dfrac{2}{3}](https://tex.z-dn.net/?f=%5Cdfrac%7B2%7D%7B3%7D)
Probability that a person choose the slow elevator = ![\dfrac{1}{3}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B3%7D)
So, the expected waiting time would be
![E[x]=\sum xp(x)=3\times \dfrac{1}{3}+1\times \dfrac{2}{3}\\\\=1+\dfrac{2}{3}\\\\=\dfrac{3+2}{3}\\\\=\dfrac{5}{3}\\\\=1\dfrac{2}{3}\ min](https://tex.z-dn.net/?f=E%5Bx%5D%3D%5Csum%20xp%28x%29%3D3%5Ctimes%20%5Cdfrac%7B1%7D%7B3%7D%2B1%5Ctimes%20%5Cdfrac%7B2%7D%7B3%7D%5C%5C%5C%5C%3D1%2B%5Cdfrac%7B2%7D%7B3%7D%5C%5C%5C%5C%3D%5Cdfrac%7B3%2B2%7D%7B3%7D%5C%5C%5C%5C%3D%5Cdfrac%7B5%7D%7B3%7D%5C%5C%5C%5C%3D1%5Cdfrac%7B2%7D%7B3%7D%5C%20min)
Hence, the expected waiting time is ![1\dfrac{2}{3}\ min](https://tex.z-dn.net/?f=1%5Cdfrac%7B2%7D%7B3%7D%5C%20min)