The answer is 3. 20/2=10 10-7=3
Rewrite the boundary lines <em>y</em> = -1 - <em>x</em> and <em>y</em> = <em>x</em> - 1 as functions of <em>y </em>:
<em>y</em> = -1 - <em>x</em> ==> <em>x</em> = -1 - <em>y</em>
<em>y</em> = <em>x</em> - 1 ==> <em>x</em> = 1 + <em>y</em>
So if we let <em>x</em> range between these two lines, we need to let <em>y</em> vary between the point where these lines intersect, and the line <em>y</em> = 1.
This means the area is given by the integral,

The integral with respect to <em>x</em> is trivial:

For the remaining integral, integrate term-by-term to get

Alternatively, the triangle can be said to have a base of length 4 (the distance from (-2, 1) to (2, 1)) and a height of length 2 (the distance from the line <em>y</em> = 1 and (0, -1)), so its area is 1/2*4*2 = 4.
The total of the faces touching the ground is 15.
<h3 /><h3>What is probability?</h3>
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
Given that:
Four usual dice are thrown
Total of numbers on the top faces of these four dice = 13
we know that in a dice, the sum of the numbers on any two opposite faces is always 7.
So,1 is opposite 6,
2 is opposite 5
and 3 is opposite 4.
Now, when 4,3,1 and 5 are the numbers on the top faces, then 3,4,6 and 2 respectively are the numbers on the face touching the ground as they sum upto 7.
Hence, total o faces touching the ground =3+4+6+2=15.
Learn more about probability here:
brainly.com/question/28203837
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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