For this case we must find the value of the variable "p" of the following equation:

We apply distributive property on the left side of the equation taking into account that
and
:

We add similar terms:

We subtract
from both sides of the equation:

We subtract 8 from both sides of the equation:

We divide by -6 on both sides of the equation:

Answer:

Answer:
The area of the figure is 7.5 m².
Step-by-step explanation:
Given the lengths of diagonals
The area of the given figure can be computed by multiply the lengths of the diagonals and then divide by 2.
so
Area = (2.5 × 6 ) ÷ 2
= 15 ÷ 2
= 7.5 m²
Therefore, the area of the figure is 7.5 m².
Answer:
There is a linear correlation between chest size and weight,0.8482
Step-by-step explanation:
Given that for a sample of eight bears, researchers measured the distances around the bears' chests and weighed the bears.
the value of the linear correlation coefficient is r = 0.921.
i.e. there is a strong positive correlation from the value of r.

(Two tailed test at 5% level for correlation coefficient)
Test statistic t = 
p value <0.00001
Since p is less than 0.05 we reject H0
a) There is a linear correlation between chest size andweight
b)-- R^2 = 0.8482 proportion of the variation in weight can be explainedby the linear relationship between weight and chest size
Answer:
AC is four times longer than DF
Step-by-step explanation:
AC is the diameter of the circle E and DE is the radius of the circle E
AC = 2 x DE
DE is the diameter of the circle F and DF is the radius of the circle F
DE = 2 x DF
AC = 2 x DE
AC = 2 x (2 x DF)
AC = 4 x DF
So AC is four times longer than DF