So it took an hour an 15 minutes which means the distance traveled is their speed+1/4 of their speed, also any answers that have northbound going faster than 6km/h above south is not right so B and D seems to be out of the picture
Answer: -$0.5
Step-by-step explanation:
event Probability
+ $2 1/6
+ $4 1/6
+ $6 1/6
- $5 3/6
E(X) = (2*1/6)+(4*1/6)+(6*1/6)+(-5*3/6) = -$0.5
Answer:
A
Step-by-step explanation:
The inscribed angle ABC is half the measure of its intercepted arc AB, then
arc AB = 2 × ∠ ABC = 2 × 72° = 144° → A
Answer:
The number of distinguishable arrangements are 1,663,200.
Step-by-step explanation:
The word is: CONNECTICUT
The number of ways to arrange a word when no conditions are applied is:
![\frac{n!}{k_{1}!\cdot k_{2}!\cdot k_{3}!...\cdot k_{n}!}](https://tex.z-dn.net/?f=%5Cfrac%7Bn%21%7D%7Bk_%7B1%7D%21%5Ccdot%20k_%7B2%7D%21%5Ccdot%20k_%7B3%7D%21...%5Ccdot%20k_%7Bn%7D%21%7D)
Here <em>k</em> is the number of times a word is repeated.
In the word CONNECTICUT there are:
3 Cs
2 Ns
2 Ts
And there are a total of <em>n</em> = 11 letters
So, the number of distinguishable arrangements are:
![\frac{n!}{k_{1}!\cdot k_{2}!\cdot k_{3}!...\cdot k_{n}!}=\frac{11!}{3!\times 2!\times 2!}](https://tex.z-dn.net/?f=%5Cfrac%7Bn%21%7D%7Bk_%7B1%7D%21%5Ccdot%20k_%7B2%7D%21%5Ccdot%20k_%7B3%7D%21...%5Ccdot%20k_%7Bn%7D%21%7D%3D%5Cfrac%7B11%21%7D%7B3%21%5Ctimes%202%21%5Ctimes%202%21%7D)
![=\frac{39916800}{6\times 2\times 2}\\\\=1663200](https://tex.z-dn.net/?f=%3D%5Cfrac%7B39916800%7D%7B6%5Ctimes%202%5Ctimes%202%7D%5C%5C%5C%5C%3D1663200)
Thus, the number of distinguishable arrangements are 1,663,200.