Answer:
y = 3
Step-by-step explanation:
The 2 right triangles inside the right triangle are similar, then ratios of corresponding sides are equal, that is
 =
 =  ( cross- multiply )
 ( cross- multiply )
y² = 63 ( take the square root of both sides )
y =  = 3
 = 3
 
        
             
        
        
        
14^2 is the same as saying 14x14
=196
        
                    
             
        
        
        
Answer: y=1/2x-1
Step-by-step explanation:
To find the equation of the line that passes through the points, we need to find out slope, m.

We plug our points into this formula to find slope.

Our slope is 1/2. To find our y-intercept, b, we would plug any point into the equation for slope-intercept form.
y=mx+b
y=1/2x+b
1=1/2(4)+b
1=2+b
b=-1
Now that we know b, our equation is y=1/2x-1.
 
        
             
        
        
        
Answer: $4.20
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
Null hypothesis; H0: µ ≥ 52 mpg
Alternative hypothesis; Ha: µ < 52 mpg
Step-by-step explanation:
We are told that the newest model gets an average of 52 miles per gallon and that the buyers believe that the average mpg was overstated. 
This means the alternative hypothesis will have an average less than 52. Thus;
Null hypothesis; H0: µ ≥ 52 mpg
Alternative hypothesis; Ha: µ < 52 mpg