Answer:
6
Step-by-step explanation:







From the calculations above, we learn that line l and the curve intersect at (2, -6) and (1, -12). Next, we will set up a system of linear equations to solve for the slope and the y-intercept of line l.






Therefore, the slope of line l is 6.
Answer:
12.4 ft
Step-by-step explanation:
Everything is done right so far.
Now to calculate the height of the tree, 12tan46, put the equation into a calculator.
Either a graphing calculator (make sure it is in degrees, not radians),
or the one on your phone (turn your phone landscape in the calculator app to get the trig functions.))
12tan46= 12.4 ft
Answer:
The Pearson's coefficient of correlation between the is 0.700.
Step-by-step explanation:
The 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.
The formula to compute correlation between two variables <em>X</em> and <em>Y</em> is:

The formula to compute covariance is:

The formula to compute the variances are:

Consider the table attached below.
Compute the covariance as follows:


Thus, the covariance is 75.
Compute the variance of X and Y as follows:

Compute the correlation coefficient as follows:



Thus, the Pearson's coefficient of correlation between the is 0.700.