Dear Student,
Answer to your query is provided below:
The length of segment AB = 8
Explanation to answer is provided by attaching image.
 
        
             
        
        
        
Answer:
65.45
Step-by-step explanation:
Zscore = (x - mean) / standard deviation
x = score
Percentage below C :
D = 18% ; F = 12% 
Sum = 30%
Obtain the Zscore for the proportion below D
P(Z < 0.30) = -0.524
Hence, Zscore = -0.524
Put Zscore = -0.524 in the equation :
-0.524 = (x - 72) / 12.5
-0.524 * 12.5 = x - 72
-6.55 = x - 72
-6.55 + 72 = x
x = 65.45
To receive a grade of C or better, score must be atleast 65.45
 
        
             
        
        
        
Answer:
The slope is 0, then the line is horizontal.
y = 6
Step-by-step explanation:
 
        
             
        
        
        
Answer:
           The input  have to be -9 to get output 214 with the rule y=-15x+79
Step-by-step explanation:
x is the input, y is the output so:
214 = -15x + 79
214 - 79 = -15x
15x = -135 
  x = -9