The length of the diagonal will be 2.
When a translation is performed on a shaped, it simply moves location. The size and shape of the object do not change. Therefore, the length of AC will remain the same at all times.
        
                    
             
        
        
        
Answer:
Step-by-step explanation:
Given:
Scale 
2 inches : 5 feet
Actual dimensions 
Let x be the dimension of the scale drawing (in inches) and y, the corresponding dimension of the actual field (in feet).
Scaled dimension = scale × actual dimension
Actual dimension, x = y × 5 ft/2 in
2 × x = 5 × y
Equation:
2x = 5y
 
        
             
        
        
        
Answer:  0.0918, it is not unusual.
Step-by-step explanation:
Given : The length of time a person takes to decide which shoes to purchase is normally distributed with a mean of 8.54 minutes and a standard deviation of 1.91.
i.e.  minutes and
 minutes and  minutes
 minutes
Let x denotes the length of time a person takes to decide which shoes to purchase.
Formula : 
Then, the probability that a randomly selected individual will take less than 6 minutes to select a shoe purchase will be :-

Thus , the required probability = 0.0918
Since, P-value (0.0918) >0.05 , it means this outcome is not unusual.
[Note : When a outcome is unusual then the probability of its happening is less than or equal to 0.05. ]