Answer:
The answer is B, sorry if I'm wrong.
Step-by-step explanation:
Answer:
0.18 i think
Step-by-step explanation:
Answer:
![12C5 *(12C3) = 792*220 =174240 ways](https://tex.z-dn.net/?f=%2012C5%20%2A%2812C3%29%20%3D%20792%2A220%20%3D174240%20ways)
Step-by-step explanation:
For this case we know that we have 12 cards of each denomination (hearts, diamonds, clubs and spades) because 12*4= 52
First let's find the number of ways in order to select 5 diamonds. We can use the combinatory formula since the order for this case no matter. The general formula for combinatory is given by:
![nCx = \frac{n!}{x! (n-x)!}](https://tex.z-dn.net/?f=%20nCx%20%3D%20%5Cfrac%7Bn%21%7D%7Bx%21%20%28n-x%29%21%7D)
So then 12 C5 would be equal to:
![12C5 = \frac{12!}{5! (12-5)!}=\frac{12!}{5! 7!} = \frac{12*11*10*9*8*7!}{5! 7!}= \frac{12*11*10*9*8}{5*4*3*2*1}=792](https://tex.z-dn.net/?f=%2012C5%20%3D%20%5Cfrac%7B12%21%7D%7B5%21%20%2812-5%29%21%7D%3D%5Cfrac%7B12%21%7D%7B5%21%207%21%7D%20%3D%20%5Cfrac%7B12%2A11%2A10%2A9%2A8%2A7%21%7D%7B5%21%207%21%7D%3D%20%5Cfrac%7B12%2A11%2A10%2A9%2A8%7D%7B5%2A4%2A3%2A2%2A1%7D%3D792)
So we have 792 was in order to select 5 diamonds from the total of 12
Now in order to select 3 clubs from the total of 12 we have the following number of ways:
![12C3 = \frac{12!}{3! 9!}=\frac{12*11*10*9!}{3! 9!} =\frac{12*11*10}{3*2*1}=220](https://tex.z-dn.net/?f=%2012C3%20%3D%20%5Cfrac%7B12%21%7D%7B3%21%209%21%7D%3D%5Cfrac%7B12%2A11%2A10%2A9%21%7D%7B3%21%209%21%7D%20%3D%5Cfrac%7B12%2A11%2A10%7D%7B3%2A2%2A1%7D%3D220)
So then the numbers of ways in order to select 5 diamonds and 3 clubs are:
![(12C5)*(12C3) = 792*220 =174240 ways](https://tex.z-dn.net/?f=%20%2812C5%29%2A%2812C3%29%20%3D%20792%2A220%20%3D174240%20ways)
Answer:
-17
Step-by-step explanation:
8x -2y= 12
<em>Divide</em><em> </em><em>the</em><em> </em><em>whole</em><em> </em><em>equation</em><em> </em><em>by</em><em> </em><em>2</em><em>:</em>
4x -y= 6
<em>Rewrite the equation into the slope-intercept form (y=mx+c, where m is the gradient while c is the y-intercept).</em>
-y= -4x +6
y= 4x -6
Thus, gradient of given line= 4.
Since parallel lines have the same gradient, gradient of line= 4.
y= 4x +c
<em>To find the y-intercept of the lone, substitute a pair of coordinates.</em>
When x=5, y=3,
3= 4(5) +c
3= 20 +c
c= 3 -20
c= -17
Thus, the y-intercept of the line is -17.