Answer:
6
Step-by-step explanation:







From the calculations above, we learn that line l and the curve intersect at (2, -6) and (1, -12). Next, we will set up a system of linear equations to solve for the slope and the y-intercept of line l.






Therefore, the slope of line l is 6.
Answer:
1. 280/11
2. 1700/11
3. 280/11
4. 3600
5. 360
Step-by-step explanation:
Let n = sides of a regular polygon
For these problems, n = 22 because there are 22 sides.
I am going to write the formulas needed for each question below.
- 360/n
- 180 - 360/n
- 360/n
- 180(n-2)
- 360 (isn't affected by n)
To solve, just plug in N with 22.
These formulas are very easy to prove and I recommend if you have time try to prove these.
Answer: 0.14
Step-by-step explanation:
Given: Mean : 
In minutes , Mean : 
The exponential distribution function with parameter
is given by :-
The probability of waiting more than 30 seconds i.e. 0.5 minutes is given by the exponential function :-
![P(X\geq0.5)=1-P(X\leq0.5)\\\\=1-\int^{0.5}_{0}4e^{-4t}dt\\\\=1-[-e^{-4t}]^{0.5}_{0}\\\\=1-(1-e^{-2})=1-0.86=0.14](https://tex.z-dn.net/?f=P%28X%5Cgeq0.5%29%3D1-P%28X%5Cleq0.5%29%5C%5C%5C%5C%3D1-%5Cint%5E%7B0.5%7D_%7B0%7D4e%5E%7B-4t%7Ddt%5C%5C%5C%5C%3D1-%5B-e%5E%7B-4t%7D%5D%5E%7B0.5%7D_%7B0%7D%5C%5C%5C%5C%3D1-%281-e%5E%7B-2%7D%29%3D1-0.86%3D0.14)
Hence, the probability of waiting more than 30 seconds = 0.14
2/3 6/9 9/12 are three fractions with different numerator
Observe.
6/2(1+2)
6/2(3)
6/6
1
Thus, the answer is: 1