We have been given a table of values of a function. We are asked to determine whether the given function is linear or nonlinear.
We know that a function is linear when its rate of change (slope) is constant.
Let us find slope for each of the given points using slope formula. 


Similarly, we will find the slopes using other given coordinates.  


Since the rate of change for each set of points is  , so the rate of change is constant.
, so the rate of change is constant.
Therefore, the given function is linear.
 
        
             
        
        
        
Answer:
I tried my best to explain it, hope it helps!
Step-by-step explanation:
 
        
             
        
        
        
Answer:
Between 38.42 and 49.1.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 43.76, standard deviation of 2.67.
Between what two values will approximately 95% of the amounts be?
By the Empirical Rule, within 2 standard deviations of the mean. So
43.76 - 2*2.67 = 38.42
43.76 + 2*2.67 = 49.1
Between 38.42 and 49.1.
 
        
             
        
        
        
Answer:
x = 30
Step-by-step explanation:
2x + 90° + x = 180°
3x + 90° = 180°
3x = 90°
x = 90/3
x = 30