A correlation coefficient is always a value in between -1 and 1
The closest a coefficient to -1, the correlation is a strong negative correlation
The closest a coefficient to 1, the correlation is a strong positive correlation
The closest a coefficient to 0, there is no correlation at all
The coefficient -0.61 shows a strong negative correlation
This means that the relationship between the age and the violation is an inverse relationship; as age increases, violation decreases
Answer: option C
Answer:

Step-by-step explanation:
step 1
Determine the slope of the dashed line
The formula to calculate the slope between two points is equal to

we have
(-3,1) and (0,3)
substitute


step 2
Find the equation of the dashed line in slope intercept form

we have

---> given problem
substitute

step 3
Find the equation of the inequality
we know that
Is a dashed line and everything to the left of the line is shaded
so

see the attached figure to better understand the problem
Answer:
Step-by-step explanation:
<h3>Given</h3>
- Area of rectangle = 2x^2 - 7x - 15
<h3>To find</h3>
<h3>Solution</h3>
<u>Since the area is the product of the sides, let's try to factorize the given:</u>
- 2x^2 - 7x - 15=
- 2x^2 - 10x + 3x - 15 =
- 2x(x - 5) + 3(x - 5) =
- (x - 5)(2x + 3)
<u>So the dimensions are:</u>
Given the equation of the parabola

The vertex of this parabola is placed at point (4,3).
If the equation of the parabola is
then

The coordinates of the parabola focus are

Therefore, the focus is placed at point (4,3,75).
Answer: option D, 0.75 in. above the vertex