Answer: The answers for both (a) and (b) is YES.
Step-by-step explanation: A polynomial is an algebraic expression containing two or more algebraic terms, i.e., the sum of several terms that contain different powers of the same variable or variables with real coefficients.
For example, p(x) = 4x²+x+2 is a polynomial in variable 'x'.
(a) Yes, the sum of two polynomials is again a polynomial. For example,
if p(x) = ax² + bx + c and q(x) = dx² + ex + f, where, a, b, c, d, e and f are real numbers, then their sum will be
p(x) + q(x) = (a+d)x²+(b+e)x+(c+f), which is again a polynomial in 'x' with real coefficients.
(b) Yes, the difference of two polynomials is again a polynomial. For example,
p(x) - q(x) = (a-d)x²+(b-e)x+(c-f), which is again a polynomial in 'x' with real coefficients.
Thus, the answer is YES.
Answer:
A) 0.1538
Step-by-step explanation:
4 members are going to be chosen:
M1 - M2 - M3 - M4
We have to find the probability that for each member, one without experience is chosen. There is no replacents.
Initially, we have 15 students, of which 10 have none experience. So the probability that M1 is chosen as a student with no experience is
.
Then, there are 14 students, of which 9 have no experience. So the probability that M2 is chosen as a student with no experience is
.
For the third member, there are 13 students, of which 8 have no experience. So the probability that M3 is chosen as a student with no experience is
.
For the last member, there are 12 students, of which 7 have no experience. So the probability that M4 is chosen as a student with no experience is
.
What is the probability that none of the members chosen for the team have any competition experience?
This is

The correct answer is:
A) 0.1538
The first one would be $160 and the second one would be $525