Answer:
The correct option is (a).
Step-by-step explanation:
The Pearson's correlation coefficient is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i.e. dependent and independent).It ranges from -1 to +1.
Positive correlation is an association amid two variables in which both variables change in the same direction. A positive correlation occurs when one variable declines as the other variable declines, or one variable escalates while the other escalates.
Negative correlation is a relationship amid two variables in which one variable rises as the other falls, and vice versa.
In this case, it is provided that the Pearson correlation coefficient is, <em>r</em> = +0.88.
A correlation coefficient between ±0.70 to ±1.00 are considered as strong positive correlation.
The scatter plot for correlation coefficient between +0.70 to +1.00 shows:
- A straight and upward moving trend of the point
- A straight line can be formed using these points that slopes up to the right
- Points clustered close to this line that slopes up to the right
Thus, the correct option is (a).
Answer: 45,000.
Step-by-step explanation:
The equation of inverse variation is given by:-
, where k is the constant of proportionality.
Given: After owning the car for 3 years, its value is $15,000. After owning the car for 5 years, its value is $9,000.
Here,
Then, 
or 
[answer is same in both cases.]
Hence, the constant of proportionality in this inverse variation is 45,000.
Step-by-step explanation:
A straight line has an angle of 180
132+(2x+3)=180
2x+3=48
2x=45
x=45/2
PLEASE GIVE BRAINLY
Step-by-step explanation:
square of x is x2
Inverse of square of x is 1 / x2
So the equation would be:
y = k / x2
where k is a proportionality constant.
To find the value of k, plug in the known values for x and y: x=3, y=45
45 = k / 32 = k / 9
k=405
Now you have the full equation with proportionality factor.
y = 405 / x2
then, for x=5:
y = 405 / 52 = 405 / 25
y = 16.2
A disjunction is a statement formed by combining two statements with the word and is FALSE.
Answer: B) False or the second option.
