Shouldn't each of the individual factors in your product have this form?
(n-sub-i C k-sub-i) · (n minus n-sub-i C k minus k-sub-i) / n C k
If you have 3^-2, this means that you need to take the reciprocal; make it 1 / 3^2 = 1/9.
(When you take the reciprocal, turn the negative exponent into a positive exponent.)
So, 4^-3 means 1 / 4^3 = 1/64.
Etc.
Just what is the question?
Since g( x ) = f( 2x ) ---> g( x - 4 ) = f( 2(x - 4) ) = f( 2x - 8 )
Since h( x ) = g( x - 4 ) ---> h( x ) = f( 2x - 8 ) = f( 2(x - 4) )
Multiply the number of glasses of water you drink in a day
times the number of days in a year
times the number of years.
The coefficients to be used are 1 4 6 4 1
So: 1(2x)^4 + 4(2x)^3(-y)^1 + 6(2x)^2(-y)^2 + 4(2x)^1(-y)^3 + (-y)^4
a) 18nCr3 · (0.2)^4 · (0.8)^(19 - 4) = 0.046
b) 19nCr3 · (0.2)^4 · (0.8)^(20 - 4) = 0.044
c) 20nCr3 · (0.2)^4 · (0.8)^(21 - 4) = 0.041
The only way that the product operates is if all of the individual circuits work.
The probabilty that any circuit works is 0.99.
The probability that all 40 circuits works is (0.99)^40 = 0.669
If the problem is: (y² - 11y + 24) / (y² - 13y + 40)
= [ (y - 8)(y - 3) ] / [ (y - 8)(y - 5) ]
= (y - 3) / (y - 5)
179 087 875 / 1 000 000 000
which can be reduced by dividing both the numerator and the denominator by 5 (three times).
Because so few pairs are given, there can be many answers; one answer is: 1.5x² + 2.5x + 5.
There is a neat way to determine if the set of values is quadratic and how to find the formula. If your problems are quadratic, post back and we can tell you how to find the formula.
