we know that
<u>The correlation coefficient</u> is a number between
and
that represent the linear dependence of two variables or sets of data
Using the function CORREL in a excel tool, calculate the correlation coefficient (r)
see the attached table
the correlation coefficient for the data in the table is equal to 
therefore
<u>the answer is</u>

K is equal to 4 because g(x) is a parrallel line to f(x)
Answer:
Only A, E, and F are correct.
Step-by-step explanation:
The difference between two points is
, thus the difference between the height of the Pelican and the height of the Heron is
, and between the Pelican and the trout it is
.
The distance between two points is just the absolute value of the difference between them. Between the Pelican and the Heron it is
, and the distance between the Pelican and the Trout is
.
Therefore,
A is correct;
B is incorrect (difference is not positive);
C is incorrect (distance cannot be negative);
D is incorrect (difference is not positive);
E is correct;
F is correct;
Answer:
16
Step-by-step explanation:
Subtracting the 2 expressions
3b² - 8 - b(b² + b - 7) ← distribute parenthesis
= 3b² - 8 - (b³ + b² - 7b) ← distribute parenthesis by - 1
= 3b² - 8 - b³ - b² + 7b ← collect like terms
= - b³ + 2b² + 7b - 8 ← substitute b = - 3 into the expression
= - (- 3)³ + 2(- 3)² + 7(- 3) - 8
= - (- 27) + 2(9) - 21 - 8
= 27 + 18 - 21 - 8
= 16