A. -f(1)=1,f(2)=2,f(n)=2f(n-1)f(n-2);n>2
Answer:
There is no error
Step-by-step explanation:
He stated with 15 15x and made 10 for each y=15+10
x-2 is a factor so x = 2 is a root of f(x)
This is because f(x) = (x-2)*g(x) for some polynomial g(x). We don't have to worry about what g(x) is equal to as it doesn't affect the status of the root we're after.
So,
f(x) = 0
(x-2)*g(x) = 0
x-2 = 0 or g(x) = 0
x = 2 or g(x) = 0
This shows how the factor x-2 leads to the root x = 2
Therefore, f(2) = 0
Answer: Choice D
Part B is not clear and the clear one is;
P(X ≥ 6)
Answer:
A) 0.238
B) 0.478
C) 0.114
Step-by-step explanation:
To solve this, we will make use of binomial probability formula;
P(X = x) = nCx × p^(x)•(1 - p) ^(n - x)
A) 54% of U.S. adults have very little confidence in newspapers. Thus;
p = 0.54
10 random adults are selected. Thus;
P(X = 5) = 10C5 × 0.54^(5) × (1 - 0.54)^(10 - 5)
P(X = 5) = 0.238
B) P(X ≥ 6) = P(6) + P(7) + P(8) + P(9) + P(10)
From online binomial probability calculator, we have;
P(X ≥ 6) = 0.2331 + 0.1564 + 0.0688 + 0.01796 + 0.0021 = 0.47836 ≈ 0.478
C) P(x<4) = P(3) + P(2) + P(1) + P(0)
Again with online binomial probability calculations, we have;
P(x<4) = 0.1141 ≈ 0.114