Answer:
The answer is x = -6
Step-by-step explanation:
 
        
                    
             
        
        
        
The equation of line that passes through the points (-3,-1) and
(-6,3) is:

Step-by-step explanation:
Given points are:
(-3,-1) =(x1,y1)
(-6,3)=(x2,y2)
The slope-intercept form of equation of line is:

We have to find the slope first
 
 
Putting the value of slope in the slope intercept form

To find the value of b, putting the point (-3,-1) in the equation

Putting the values of b and m 

The equation of line that passes through the points (-3,-1) and
(-6,3) is:

Keywords: Equation of line, slope intercept form
Learn more about equation of line at:
#LearnwithBrainly
 
        
             
        
        
        
9514 1404 393
Answer:
   -7x -3
Step-by-step explanation:
(f -g)(x) = f(x) -g(x) = (-3x -5) -(4x -2)
(f -g)(x) = -3x -5 -4x +2 = (-3-4)x +(-5+2)
(f -g)(x) = -7x -3
 
        
             
        
        
        
Answer:
The 90% confidence interval for the mean usage of electricity is between 17.4 kwH and 17.6 kwH
Step-by-step explanation:
We have that to find our  level, that is the subtraction of 1 by the confidence interval divided by 2. So:
 level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of 
So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645
Now, find the margin of error M as such

In which  is the standard deviation of the population and n is the size of the sample.
 is the standard deviation of the population and n is the size of the sample.
So

The lower end of the interval is the mean subtracted by M. So 17.5 - 0.14 = 17.4 kwH
The upper end of the interval is M added to the mean. So 17.5 + 0.14 = 17.6 kwH
The 90% confidence interval for the mean usage of electricity is between 17.4 kwH and 17.6 kwH