Given:
The expression: (1 + x)^n
The Binomial Theorem is used to predict the products of a binomial raised to a certain power, n, without multiplying the terms one by one.
The following formula is used:
(a + b)^n = nCk * a^(n-k) * b^k
we have (1 +x)^n,
where a = 1
b = x
let n = 4
First term, k = 1
4C1 = 4
first term: 4*(1^(4-1))*x^1
Therefore, the first term is 4x. Do the same for the next three terms.
2nd term: k =2
3rd term: k = 3
4th term: k = 4
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Compute the slope of the line through (-2, -9) and (-4, -17):
Any line perpendicular to this line will have slope -1/4. The one that passes through (0, 10) satisifes
(-3,2) would result in the point moving over to the left and up 2. (2,-3) would be represented by going to the right 2 units, and down 3.
The total is equal to 57+24+41 = 122
Tea's probability 57/122=.47or 47%
Coffee's probability is 41/122 = .34 or 34%
Hopes this helps.
Eighty million, forty thousand, nine hundred sixty.
