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1. ### prove nCk = n-2Ck + 2(n-2Ck-1) + n-2Ck-2 Please explain and show all steps. Thanks!?

...be considered a double application of Pascal's rule: C(n,k) = C(n-1,k-1) + C(n-1,k) = C(n-2,k-2) + C(n-2,k-1) + C...

2 Answers · Science & Mathematics · 28/03/2016

... first roll. Binomial probability formula: P(X=k) = C(n,k) * p^k * q^(n-k) p = 1/6 q = 5/6 n = number of dice ...

2 Answers · Science & Mathematics · 28/03/2018

3. ### Data Management: Binomial Distributions?

...*. The binomial probability formula is: P(X = k) = C(n,k) * p^k * q^(n-k) n : number of trials (10) k : number...

3 Answers · Science & Mathematics · 09/01/2019

4. ### HELP find k for quadratic equation?

...x-intercepts. You have y = 9x^2 +3kx +k, so a = 9, b = 3k, and c = k b^2 -4ac = (3k)^2 - 4(9)(k) = 9k^2 - 36k a) b^2 - 4ac = 0 9k^2 - 36k = 0 9k...

1 Answers · Science & Mathematics · 25/11/2007

5. ### Statistics probability question? (max points)?

... to use the notation of C(n,k), where: C(n,k) = n! / ((n-k)! k!) C(40,4) = 40 x 39 x 38 x 37 / (4 x 3 x 2 x 1) = 91390 ways PART...

2 Answers · Science & Mathematics · 04/10/2014

6. ### A fair coin is tossed 14 times. What is the probability of each event?

I'll write C(n,k) for the binomial coefficient "n choose k". There...e.g. algebraically, from the binomial coefficient identity C(n,k) = C(n,n-k), or from the intuition associated to the fundamental...

2 Answers · Science & Mathematics · 24/07/2011

7. ### determine the period ,amplitude and phase shift of f(x)=3cos2(x-pi/4)+1?

y= A cos (θ -d ) K + c A= amplitude , d horizontal shift, c= vertical shift, k = frequency per 2π or 360...

1 Answers · Science & Mathematics · 20/03/2011

8. ### Find 'k' value?

...0 or 3k + 1 < 0 and k - 1 < 0 => k > 1 or k < -1/3 c) no roots => -1/3 < k < 1

2 Answers · Science & Mathematics · 05/01/2017

9. ### Math probability question?

Use the binomial probability formula. P(X = k) = C(n,k) * p^k * q^(n-k) n : number of trials (10) k : number...

3 Answers · Science & Mathematics · 31/12/2016

10. ### Please Explain this Trig Function Formula?

For y = a*sin [k (x-d)] + c "absolute value of a" is the amplitude. c is the y value of... from a. d is the phase shift - the horizontal shift of the curve. k is the frequency - the number of cycles completed as...

1 Answers · Science & Mathematics · 30/12/2010