Answer:
Step-by-step explanation:
1/4 is the coefficient
x and y is the variables
5/6 is the constant but there could be a equal to zero on the end giving you another constant
Therefor the only true statement is The only coefficient is 1/4.
Answer:
Option (D)
Step-by-step explanation:
Given polynomial is,
2x³ - 3x² - 3x + 2
If (x - 2) is the factor of the given polynomial,
By synthetic division we can get the other factor.
2 | 2 -3 -3 2
<u> 4 2 -2 </u>
2 1 -1 0
Therefore, other factor of the given polynomial is (2x² + x - 1)
Now (2x² + x - 1) = 2x² + 2x - x - 1
= 2x(x + 1) -1(x + 1)
= (2x - 1)(x + 1)
Therefore, factors of the given polynomial other than (x - 2) are (2x - 1) and (x + 1)
Option (D) will be the answer.
Answer:
Explanation:
Binomial expansion is:

Here in given expression we have a=x , b=-2y and n = 13
general formula for binomial expansion is:

Since, 
r should be one number less than the term we need to find so it will become the number we need to find like here we have to find 9th term so, r=8
substituting the values in the genral formula we will get

After substituting the values we will get

After simplification we will get
which will be the 9th term of the expansion
Answer:
S = {AB, AC, BC}
Step-by-step explanation:
Answer:
$393.50+/-$19.72
= ( $373.78, $413.22)
Therefore, the 95% confidence interval (a,b) = ($373.78, $413.22)
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = $393.50
Standard deviation r = $50.30
Number of samples n = 25
Confidence interval = 95%
z value(at 95% confidence) = 1.96
Substituting the values we have;
$393.50+/-1.96($50.30/√25)
$393.50+/-1.96($10.06)
$393.50+/-$19.7176
$393.50+/-$19.72
= ( $373.78, $413.22)
Therefore, the 95% confidence interval (a,b) = ($373.78, $413.22)