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1. can someone help?

... of n people chosen k at a time. C(n,k) = n! / (k! (n-k)!) C(10,3) = 10! / (3! 7!) = 120 I have trouble remembering the formula, so...

4 Answers · Science & Mathematics · 07/10/2019

2. Statistics Basic Probability Help?

... general formula for exactly k successes is: P(X = k) = C(n,k) * p^k * q^k n : number of trials (e.g. 5 flips) k...

1 Answers · Science & Mathematics · 14/09/2019

3. Prove (n, k) = (n, n - k)?

...n - k)! k!] That would mean: C(n, n - k) = n! / [(n - (n-k))! (n - k)!] C(n, n - k) = n! / [k! (n - k)!] C(n, n - k) = n! / [(n - k)! k!] Hence...

6 Answers · Science & Mathematics · 12/09/2019

4. Developing ODE from data?

...atm is the atmospheric concentration, we would model this as: dC(t)/dt = -k*(C(t) - C_atm) where k is some positive rate constant. Note that the...

2 Answers · Science & Mathematics · 06/08/2019

5. How do I show that this sequence satisfies the given recurrence relation?

... that it's not true. Maybe you mistyped things? k c(k) 4c(k-1) 0 0 1 1 0 2 3 4 3 7 12 4 15 28 5 31 60

1 Answers · Science & Mathematics · 25/07/2019

6. Write the equation of an ellipse centered at the origin with foci at (0, -3) and (0, 3) and a major axis of 10.?

...k±a)  length of major axis = 2a  co-vertices (h±b,k)  foci (h,k±c), c² = a²-b² Apply your given information...

4 Answers · Science & Mathematics · 29/05/2019

7. What are the vertices, covertices, and foci of the ellipse (x-5)^2/64 + (y-10)^2/100 = 1?

...k)  vertices (h,k±a)  co-vertices (h±b,k)  foci (h,k±c), c² = a²-b²   (y-10)²/10² + (x-5)²...

4 Answers · Science & Mathematics · 21/05/2019

8. Find k For Quadratic Equation?

x^2 - kx + 4 = 0 apply the discriminant formula a = 1 , b = - k, c = 4 b^2 - 4ac = 0 (-k)^2 - 4(1)(4) = 0 k^2 - 16 = 0 k^2 = 16 k = √(16) k = 4 answer// x^2 - 4x + 4 = 0 (x - 2)(x - 2) = 0 x = 2

8 Answers · Science & Mathematics · 19/05/2019

9. Hyperbolas?

Rules (−k)^2/a^2 - (x-h)^2/b^2 = 1 , c = √(a^2+b^2) vertices (h , k+a) and (h , k-a) Foci (h , k + c) and (h , k - c) the asymptotes y - k = ±(a/b)(x-h)

1 Answers · Science & Mathematics · 13/05/2019

10. Calculate the given quantity if a = i + j − 2k b = 4i − 2j + k c = j − 4k.?

14i - 4j - k

2 Answers · Science & Mathematics · 02/05/2019