Answer:
126
Step-by-step explanation:
There are 9 city council members.
We have to choose 4 of them.
We have to use the combination as :
where, 9 is the population size
4 is the sample size.
Therefore, the total number of possible samples without replacement is given as :



= 126
Answer:
$1.53
Step-by-step explanation:
The computation of the change in the bill is shown below:
Total money he has to pay is
= $8.33 + $2.25
= $13.47
And, he have
= $10 + $5
= $15
So, the change would be
= $15 - $13.47
= $1.53
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: 60.5
Step-by-step explanation:
The forecast for the next period using the simple exponential smoothing method is given by:
, where D= actual demand for the recent period,
smoothing factor, F= forecast for the recent period .
Given: D= 64,
, F= 59
The forecast for the next period = 

Hence, the forecast for the next period = 60.5