Answer:
Slope:  1/4
Step-by-step explanation:
 
        
                    
             
        
        
        
The missing coordinate r is 11.
Solution:
Given points are (–15, 1) and (–7, r).

Slope (m) = 
<u>To find the missing coordinate r:</u>
Slope formula:
 
Substitute the given values in the formula.



Do cross multiplication.

40 = 4r – 4
Add 4 on both side of the equation.
44 = 4r
Divide by 4 on both side of the equation.
11 = r
⇒ r = 11
Hence the missing coordinate r is 11.
 
        
             
        
        
        
Answer:
The minimum guaranteed mileage is  
Step-by-step explanation:
From the question we are told that 
    The mean is  
      The standard deviation is  
Generally for the probability to be 4% the minimum guaranteed mileage is evaluated as 
     

      
=>  
=>    
From the z table, the critical value corresponding to 0.96 to the left of the curve is  
          
So 
         
=>     
 
        
             
        
        
        
Answer:
y=-5x+17
Step-by-step explanation:
 
        
                    
             
        
        
        
Two complementary angles: α,β
Definition of complementary angles:
α+β=90
β=4α
4α+α=90
5α=90 /:5
α=18
Measure of smallest angle is 18 degrees.