The remainder of f(x) = 7
Step-by-step explanation:
f(x) =
Here 2x - 1 is a factor.
We will apply Factor theorem ( states that if (x-a) is a factor of f(x) then f(a) is the remainder)
Putting x = 1/2 in f(x) we will get the remainder.
f(1/2) = 2(1/2)^3 -5(1/2)^2 +8(1/2) +4
=7
Answer:
10
Step-by-step explanation:
By Basic Proportionality Theorem:
Using the binomial distribution, it is found that there is a 0.125 = 12.5% probability of observing exactly 3 tails.
<h3>What is the binomial distribution formula?</h3>The formula is:
The parameters are:
In this problem, considering 3 tosses of a fair coin, the parameters are n = 3 and p = 0.5.
The probability of 3 tails is P(X = 3), hence:
0.125 = 12.5% probability of observing exactly 3 tails.
More can be learned about the binomial distribution at brainly.com/question/24863377