Answer:
A.11
Step-by-step explanation:
sqrt(121)
What number times itself is 121
11*11 = 121
-11*-11 =121
We have two options 11 or -11
Given our choices
A.11
Answer:
i don't see a b in the equation
Step-by-step explanation:
Step-by-step explanation:
Area of rectangle =height×base
4 1/2×3 3/7=9/2×24/7=216/14=15 6/14=15 3/7
Answer:
100° and 80°
Step-by-step explanation:
Ratio means they are sort of multiples of a certain number (which I used X) and A is 5 times X and B is 4 times X. Since they are supplementary they sum 180°. After summing up both angles and equaling them to 180°, solve for X and substitute in the original equations
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)