the equation of the line is y= x-4
Step-by-step explanation:
so so the first thing that you're going to do is get y alone
-x-5=y
next you're going to find your slope which in this case is negative one.
after that in order to find the equation of a parallel line you're going to find the reciprocal of the slope.
so in this case the reciprocal is one.
next you're going to substitute in the cordinates to find the y intercept
x+b=y. (-1)+b= -5. (. b is the y intercept)
b= -4
Answer:
13.75 or 13 3/4
Step-by-step explanation:
Answer:
![\dfrac{1}{3,357,900}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B3%2C357%2C900%7D)
Step-by-step explanation:
There are
![C^{42}_4=\dfrac{42!}{4!(42-4)!}=\dfrac{42!}{4!\cdot 38!}=\dfrac{38!\cdot 39\cdot 40\cdot 41\cdot 42}{2\cdot 3\cdot 4\cdot 38!}=39\cdot 10\cdot 41\cdot 7=111,930](https://tex.z-dn.net/?f=C%5E%7B42%7D_4%3D%5Cdfrac%7B42%21%7D%7B4%21%2842-4%29%21%7D%3D%5Cdfrac%7B42%21%7D%7B4%21%5Ccdot%2038%21%7D%3D%5Cdfrac%7B38%21%5Ccdot%2039%5Ccdot%2040%5Ccdot%2041%5Ccdot%2042%7D%7B2%5Ccdot%203%5Ccdot%204%5Ccdot%2038%21%7D%3D39%5Ccdot%2010%5Ccdot%2041%5Ccdot%207%3D111%2C930)
different ways to select the four numbers between 1 and 42. Only one of this ways is correct (successful to win).
There are 30 different ways select the single number between 1 and 30. Only one of them is correct.
The probability of winning the jackpot is
![\dfrac{1}{111,930}\cdot \dfrac{1}{30}=\dfrac{1}{3,357,900}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B111%2C930%7D%5Ccdot%20%5Cdfrac%7B1%7D%7B30%7D%3D%5Cdfrac%7B1%7D%7B3%2C357%2C900%7D)