Answer:
0.7633
Step-by-step explanation:
Proportion of the population that is contaminated = P = (4/17) = 0.235
We now need to find the probability that not more than 1 of the 4 bottles tested is contaminated. This is a binomial distribution problem.
Binomial distribution function is represented by
P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ
n = total number of sample spaces = number of bottles to be tested = 4
x = Number of successes required = 0, 1
p = probability of success = probability that a bottle is contaminated = 0.235
q = probability of failure = probability that a bottle is NOT contaminated = 1 - 0.235 = 0.765
P(X ≤ 1) = P(X=0) + P(X=1) = 0.34248830063 + 0.4208352975 = 0.7633235981 = 0.7633 to 4 d.p
Hope this helps!!!
540 points,
15 points for the first, 30 for the second, 45, 60, 75, 90, 105, 120 for the eighth, added up it equals 540
Answer:
f(g(7)) = 22
Step-by-step explanation:
First find the general form of the new equation, f(g(x)):
f(x)=3x + 2
g(x)=x - 1/3
f(g(x)) = 3(x - 1/3) + 2
You can simplify that, or alternatively just plug in 7 now and solve:
f(g(7)) = 3(7 - 1/3) + 2
f(g(7)) = 3(20/3) + 2
f(g(7)) = 20 + 2
f(g(7)) = 22
Answer:
25.5
Step-by-step explanation:
first find angle E.
remember, all angles in a triangle always add up to 180 degrees.
E = 180 - 90 - 20 = 70 degrees
now we use the law of sines.
ED/sin(20) = DC/sin(70) = EC/sin(D)
EC = x
sin(D) = sin(90) = 1
24/sin(70) = x/1 = x
x = 25.5
Answer:
Step-by-step explanation:
