14/99
Select 1 marble; the chance that it is white is 4/12. Select a 2nd marble; the chance that it is white is 3/11. Select a 3rd; the chance it is white is 2/10. Select a 4th; the chance it is red is 8/9. Select a 5th; the chance it is red is 7/8. The chance of getting this specific set of 5 marbles in this order is (4/12)×(3/11)×(2/10)×(8/9)×(7/8)=(2×7)/(11×10×9).
This specific set could occur in the permutation of 5 things taken 5 at a time where 3 are identical (white), and the other 2 are also identical (red). The formula for this is 5!/(3!2!)=10.
Combining the chance of getting white, white, white, red, red with the number of ways 3 white and 2 red could have been distributed in the draw of 5 marbles gives the answer:
{(2×7)/(11×10×9)}×10=14/99
A similar process will show that the chance of getting 5 red marbles is 7/99; 4 white and 1 red is 1/99; 2 white and 3 red is 42/99; and 1 white and 4 red is 35/99.
I guess this will be good example of how to do it
The answer is 51.3
Explanation:
You’re finding angle Y, so write the SOH CAH TOA. the two sides your are given are the adjacent side to Y and the opposite side so you use tangent. You then get the equation tanY=10/8 Since you’re finding an angle you use inverse tangent so you get y=tan^-1(10/8) and then put that into the calculator!
Y = x + 7
<span>y = -2x - 11
x + 7 = -2x - 11
3x + 7 = -11
3x = -18
x = -6
The x-coordinate of the solution is
-6.
I have attached a graph of the two equations since the question really wanted you to graph it and then find the answer.</span>
