Answer:
1 ; 1.25 ; 0.25 ; - 0.75 ; - 1.25 ;- 0.5
Step-by-step explanation:
Given the sample observations : 15, 16, 12, 8, 6, 9
Zscore for each sample Observation :
Zscore = (x - mean) / standard deviation
(15 + 16 + 12 + 8 + 6 + 9) / 6 = 11
Mean value (m) = 11
Standard deviation (s) = 5
Sqrt[(x - m)^2 / (n - 1)]
[(15-11)^2 + (16-11)^2 + (12-11)^2 + (8-11)^2 + (6-11)^2 + (9-11)^2] / (6 - 1)
= 80/5 = 16
Sqrt(16) = 4
Zscore = (x - mean) / standard deviation
x = 15
Zscore = (15 - 11) / 4 = 1
x = 16
Zscore = (16 - 11) / 4 = 1.25
x = 12
Zscore = (12 - 11) / 4 = 0.25
x = 8
Zscore = (8 - 11) / 4 = - 0.75
x = 6
Zscore = (6 - 11) / 4 = - 1.25
x = 9
Zscore = (9 - 11) / 4 = - 0.5
1. Graph using y = mx + b
a) y = 3x - 4 (m = 3, b = -4)
b) y = x + 1 (m = 1, b = 1)
c) y = -2x + 2 (m = -2, b = 2)
d) y = -x - 3 (m = -1, b = -3)
2. Graph using x- and y-intercepts
a) 2x + 3y = 6 (x-intercept is 3, y-intercept is 2)
b) x - 2y = -8 (x-intercept is -8, y-intercept is 4)
c) -3x + y = -3 (x-intercept is 1, y-intercept is -3)
d) -4x - 2y = 6 (x-intercept is -3/2, y-intercept is -3)
3. Graph using a table
a) y = 2x -1
(Make a table using values -1, 0, and 1 in the "x" column. The values in the "y" column will be -3, -1, and 1)
b) 2x + y = 4
(Make a table using values 0, 1, and 2 in the "x" column. The values in the "y" column will be 4, 2, 0)
The GCF is 
Explanation:
The GCF or greatest common factor is the factorization of two or more numbers to determine the greatest number that they have common.
The given terms are
and 
To determine the gcf of these two terms, let us find the greatest number that they have in common.
Comparing the powers of m from both the terms, we have,

Similarly, comparing the powers of n from both the terms, we have,

Also, comparing the powers of p from both the terms, we have,

Thus, the GCF of the terms
and
is 