Answer:
The required equation of the line is:

Step-by-step explanation:
Given the equation

comparing the equation with the slope-intercept form

Here,
so the slope of the line is -4.
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so
The slope of the perpendicular line will be: 1/4
Therefore, the point-slope form of the equation of the perpendicular line that also intersects the point (8, 1) is:


add 1 to both sides


Answer:
bii) 
Please see the attached pictures.
*x represents the estimated distance on Map A
Answer:
Residual = -2
The negative residual value indicates that the data point lies below the regression line.
Step-by-step explanation:
We are given a linear regression model that relates daily high temperature, in degrees Fahrenheit and number of lemonade cups sold.

Where y is the number of cups sold and x is the daily temperature in Fahrenheit.
Residual value:
A residual value basically shows the position of a data point with respect to the regression line.
A residual value of 0 is desired which means that the regression line best fits the data.
The Residual value is calculated by
Residual = Observed value - Predicted value
The predicted value of number of lemonade cups is obtained as

So the predicted value of number of lemonade cups is 23 and the observed value is 21 so the residual value is
Residual = Observed value - Predicted value
Residual = 21 - 23
Residual = -2
The negative residual value indicates that the data point lies below the regression line.
Answer:
I don’t know about the last part but what I do know id the answer to the equation.
Answer: 1 1/3
Step-by-step explanation:
1. Remove the paranthesis
Removing the paranthesis will make it much easier to solve the equation.
We now have 4 1/6 + -2 5/6.
2. Rearrange the equation
We can’t have two symbols next to each other. We need to cross out one symbol so we can have only one. + and - = -. So let’s keep the "-" symbol.
We now have 4 1/6 - 2 5/6.
3. Solve the remaining equation
Now that we have a proper equation which we can solve, let’s do it.
We should then end up with 1 1/3.
Answer: 1 1/3
Well 8 times 15 is 120 so once you know that 8 times 8 is 64 plus 45 witch is 109 so u would have to atleast take 8 classes for the member ship to be worth it. 8