Answer:
0.2264
0.1795
0.2264
Step-by-step explanation:
Given that:
p = 19% = 0.19
Sample size (n) = 12
Using binomial distribution formula :
p(x = x) = nCx * p^x * (1 - p)^(n-x)
1 - p = 1 - 0.19 = 0.81
Exactly 3:
p(x = 3) = 12C3 * 0.19^3 * 0.81^9
p(x = 3) = 220 * 0.001029499103502116970939
= 0.2264
B.) Atleast 4 :
P( x ≥ 4) = p(4) + p(5) + p(6) + p(7) + p(8) + p(9) + p(10) + p(11) + p(12)
To save time, we can use a binomial probability calculator :
P( x ≥ 4) = 0.1795
C.) Less than 8:
P( x < 8) = p(7) + p(6) + p(5) + p(4) + p(3) + p(2) + p(1) + p(0)
P(x < 8) = 0.9995
Answer:
d = 65
w = 55
Step-by-step explanation:
w + 90 + 35 = 180
w + 125 = 180
w = 55
35 + x = 60 (Vertical angle thm)
x = 25
d + x = 90
d + 25 = 90
d = 65
Answer: 12x² + 11x - 15
fg = (4x - 3)(3x + 5) = 12x² + 20x - 9x - 15 = 12x² + 11x - 15
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given that a bacteria culture initially contains 100 cells and grows at a rate proportional to its size.
i.e. P' = kP where k = constant of proportionality
We separate variables and solve this Differential equation.
When t =0 P(0) = A = 100
So equatin is
to find k
When t=1, P =590
So