What is 3/5+3/8 in simplest form
1 answer:
You might be interested in
<u>Answer:</u>
(x - 2) is not a factor of f(x) = 3x^5 - 7x^3 - 11x^2 + 2
<u>Step-by-step explanation:</u>
According to the Remainder Theorem, when a polynomial f(x) is divided by a term (x - r), then the remainder must be f(r).
So first we will divide f(x) by (x - 2) using long division to get:
(3x^5 - 7x^3 - 11x^2 + 2) / (x - 2)
= 3x^4 + (6x^4 - 7x^3 - 11x^2 + 2) / (x-2)
= 3x^4 + 6x^3 + (5x^3-11x^2+2) / (x - 2)
= 3x^4 + 6x^3 + 5x^2 (-x^2 + 2) / (x - 2)
= 3x^4 + 6x^3 + 5x^2 -x -2 - (2) / (x -2)
=
Therefore the remainder is -2.
Now check x = 2 for 3x^5 - 7x^3 - 11x^2 + 2:
3(2)^5 - 7(2)^3 - 11(2)^2 + 2 = -2
The Remainder Factor theorem also states that if (x - r) is a factor of f(x) then f(r) must be 0.
So we found that f(2) = -2, therfore (x - 2) is not a factor of f(x) .
Answer:
There is a 13.61% probability that exactly 4 of the jobs were not completed within the bid time.
Step-by-step explanation:
For each job, there are only two possible outcomes. Either they are completed on time, or they are not. This means that we use the binomial probability distribution to solve this problem.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
Looking at a random sample of 8 jobs that it has contracted, calculate the probability that exactly 4 of the jobs were not completed within the bid time.
There are 8 jobs, so .
30% of them are finished on time, which means that 70% are not completed within the bid time. This means that
The problems asks for P(X = 4). So
There is a 13.61% probability that exactly 4 of the jobs were not completed within the bid time.