Answer:The answer is 50
Step-by-step explanation:
The first step is to add up the numbers in order to get the outcome
5 red + 20 blue +25 green =5+20+25 =50
Step 2
Probability =no of events /no of outcome
We were asked to find the probability of red
Where red represent event
And the summation of red ,green and blue represents outcome .
So probability of red =5/50 = 1/10
Step 3
Recall in the question ,we were told that the card was selected 500 times ,so we multiply the probability of getting red by 500
1/10 *500 =50
Therefore the probability of drawing a red card from the special deck 500 times is 50 .
Answer:
Step-by-step explanation:
When the circle is fill in it means theres more than one answer so it can be greater than or equal to or less than or equal to. When theres only a circle is means greater then or less than
I hope this helps you to get the right answers.
well, we know it's a rectangle, so that means the sides JK = IL and JI = KL, so
![\stackrel{JK}{3x+21}~~ = ~~\stackrel{IL}{6y}\implies 3(x+7)=6y\implies x+7=\cfrac{6y}{3} \\\\\\ x+7=2y\implies \boxed{x=2y-7} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{JI}{6y-6}~~ = ~~\stackrel{KL}{2x+20}\implies 6(y-1)=2(x+10)\implies \cfrac{6(y-1)}{2}=x+10 \\\\\\ 3(y-1)=x+10\implies 3y-3=x+10\implies \stackrel{\textit{substituting from the 1st equation}}{3y-3=(2y-7)+10} \\\\\\ 3y-3=2y+3\implies y-3=3\implies \blacksquare~~ y=6 ~~\blacksquare ~\hfill \blacksquare~~ \stackrel{2(6)~~ - ~~7}{x=5} ~~\blacksquare](https://tex.z-dn.net/?f=%5Cstackrel%7BJK%7D%7B3x%2B21%7D~~%20%3D%20~~%5Cstackrel%7BIL%7D%7B6y%7D%5Cimplies%203%28x%2B7%29%3D6y%5Cimplies%20x%2B7%3D%5Ccfrac%7B6y%7D%7B3%7D%20%5C%5C%5C%5C%5C%5C%20x%2B7%3D2y%5Cimplies%20%5Cboxed%7Bx%3D2y-7%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cstackrel%7BJI%7D%7B6y-6%7D~~%20%3D%20~~%5Cstackrel%7BKL%7D%7B2x%2B20%7D%5Cimplies%206%28y-1%29%3D2%28x%2B10%29%5Cimplies%20%5Ccfrac%7B6%28y-1%29%7D%7B2%7D%3Dx%2B10%20%5C%5C%5C%5C%5C%5C%203%28y-1%29%3Dx%2B10%5Cimplies%203y-3%3Dx%2B10%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Bsubstituting%20from%20the%201st%20equation%7D%7D%7B3y-3%3D%282y-7%29%2B10%7D%20%5C%5C%5C%5C%5C%5C%203y-3%3D2y%2B3%5Cimplies%20y-3%3D3%5Cimplies%20%5Cblacksquare~~%20y%3D6%20~~%5Cblacksquare%20~%5Chfill%20%5Cblacksquare~~%20%5Cstackrel%7B2%286%29~~%20-%20~~7%7D%7Bx%3D5%7D%20~~%5Cblacksquare)
Step-by-step explanation:
start with x which is 6
then plot it
then do y which is 2
and plot
Hey there!!
Steps to get into equation which is perpendicular:
- The slope of a perpendicular line is always negative reciprocal.
- Take the point and get that into point-slope form.
- y - y = m ( x - x )
- Convert this equation into slope-intercept form.
'm' is the slope.
We have the slope as 1/3
The perpendicular slope would be -3.
Point slope:
The point = (-2,2)
y - 2 = -3( x - (-2) )
y - 2 = -3(x+2)
y - 2 = -3x -6
Adding 2 on both sides:
y = -3x - 4
<em>Hence, the equation would be : </em>
<u><em>y = -3x - 4 </em></u>
Hope it helps!
