The tortoise moves for 2min. & 30seconds.
The answer is B. 120
nCr = n! / ((r! * (n - r)!)
n = 10
r = 3
10C3 = 10! / ((3! * (10 - 3)!)
= 10! / ((3! * 7!)
= (10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1) / (3 * 2 * 1 * 7 * 6 * 5 * 4 * 3 * 2 * 1)
= 3628800 / 30240
= 120
ANSWER: The equation of a line in slope-intercept form looks like the following: y = mx + b
where m is the slope of the line and b is the y-intercept.
Given any 2 points (x1, y1) and (x2, y2) on a line, the slope (m) = (y2-y1)/(x2-x1).
So, Whenever the slope (m) is undefined it means that when you try to
calculate the slope given any 2 points on the line you'll end up with a
zero in the denominator, which is undefined. That is, with an undefined
slope you end up with a vertical line, which has the equation "x=some
number".
m = (y2-y1)/(x2-x1) = (y2-y1)/0 = undefined. This implies that x2=x1. So x is the same for any value of y on the line, which is why the equation is "x=some number" and the line is vertical.
So the equation of a line, in slope-intercept form, with an undefined
slope (m=undefined) crossing through the point (-3, 5) is: x= -3 ,
which is a vertical line.
Hope this helps you
The answer to (7+x)=7x is equal to 8x+7.
Well, first in total there are 16 marbles. So the change of getting a black is 7/16. Now we have 15 marbles. The chance is 6/15. Now we have 14 marbles. The chance is 9/14. When you multiply 7/16 x 6/15 x 9/14 = 9/80
Hope this works
