V1 - velocity first train
v2 - velocity second train
v2 > v1
v2 - v1 = 17 mph
We know, that:
![s_1+s_2=210 \ [miles] \\ \\ t_1=t_2=2h](https://tex.z-dn.net/?f=s_1%2Bs_2%3D210%20%5C%20%5Bmiles%5D%20%5C%5C%20%5C%5C%20t_1%3Dt_2%3D2h)
So:
NOw we've got simple system of equations:
![+\begin{cases} v_2-v_1=17 \\ v_2+v_1=105\end{cases} \\ \\ 2v_2=122 \qquad /:2 \\ \\ v_2=61 \qquad [mph] \\ \\ v_2-v_1=17 \\ \\ 61-v_1=17 \\ \\ v_1=44](https://tex.z-dn.net/?f=%2B%5Cbegin%7Bcases%7D%20v_2-v_1%3D17%20%5C%5C%20v_2%2Bv_1%3D105%5Cend%7Bcases%7D%20%5C%5C%20%5C%5C%202v_2%3D122%20%5Cqquad%20%2F%3A2%20%5C%5C%20%5C%5C%20v_2%3D61%20%5Cqquad%20%5Bmph%5D%20%5C%5C%20%5C%5C%20v_2-v_1%3D17%20%5C%5C%20%5C%5C%2061-v_1%3D17%20%5C%5C%20%5C%5C%20v_1%3D44)
Velocities of these trains are 61mph and 44mph
Less than 3 is about 10.75% and greater than 13 is about 6.18%.
To find these percents, you need to find the z-score for each value. Then, use your table to find the correct percent. Be sure to find the side above 13 when you use your chart.
For less than 3:
(3 - 7.45) / 3.6 = -1.24 = The percent below this is 0.1075
For greater than 13:
(13 - 7.45) / 3.6 = 1.54 = The percent above this is 0.0618
Answer: (2,-2)
Step-by-step explanation:
Rotating 90 degrees counterclockwise (about the origin) maps (x,y) onto (-y,x), so the answer is <u>N'(2,-2)</u>
<h3>
Answer: B) 2/3</h3>
====================================
Explanation:
The order is important for ABC and XYZ so we can see what letters pair up.
- A pairs with X since they are the first letters
- B pairs with Y since they are the second letters
- C pairs with Z since they are the third letters
Based on that, we can see that AB pairs with XY as they are the first two letters of ABC and XYZ respectively.
Divide the length XY over AB and reduce
XY/AB = 10/15 = 2/3
We could also divide XZ over AC
XZ/AC = 14/21 = 2/3
and we get the same ratio
