Answer:
Step-by-step explanation:
Polynomial f(x) has the following conditions: zeros of -4 (multiplicity 3), 1 (multiplicity 1), and with f(0) = 320.
The first part zeros of -4 means (x+4) and multiplicity 3 means (x+4)^3.
The second part zeros of 1 means (x-1) and multiplicity 1 means (x-1).
The third part f(0) = 320 means substituting x=0 into (x+4)^3*(x-1)*k =320
(0+4)^3*(0-1)*k = 320
-64k = 320
k = -5
Combining all three conditions, f(x)
= -5(x+4)^3*(x-1)
= -5(x^3 + 3*4*x^2 + 3*4*4*x + 4^3)(x-1)
= -5(x^4 + 12x^3 + 48x^2 + 64x - x^3 - 12x^2 - 48x - 64)
= -5(x^4 + 11x^3 + 36x^2 + 16x -64)
= -5x^3 -55x^3 - 180x^2 - 80x + 320
Answer:x=-20
Step-by-step explanation:
Answer:
30 more students
Step-by-step explanation:
690 + 30 = 720
720 / 9 = 80
Answer:
0.497
Step-by-step explanation:
Using the binomial probability formula :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
From the question :
n = 6 ; x = 3 ; p = 0.42
P(x = 3) +... P(x = 6)
P(x = 3) = 6C3 * 0.42^3 * (1 - 0.42)^(6-3)
P(x = 3) = 20 * 0.074088 * 0.195112
P(x = 3) = 0.28910915712
Then find p(x = 4).. + p(x = 6)
Using a calculator :
P(X >= x) = 0.497
Answer:
x = 12.5
Step-by-step explanation:
17 = 2(x - 4)
17 = 2x - 8
17 + 8 = 2x - 8 + 8
25 = 2x
12.5 = x
