Answer: 0.0228
Step-by-step explanation:
Given : The  mean and the standard deviation of finish times (in minutes) for this event are respectively as :-

If the distribution of finish times is approximately bell-shaped and symmetric, then it must be normally distributed.
Let X be the random variable that represents the finish times for this event.
z score : 

Now, the probability of runners who finish in under 19 minutes by using standard normal distribution table :-

Hence, the approximate proportion of runners who finish in under 19 minutes = 0.0228
 
        
             
        
        
        
Answer:
Step-by-step explanation:
Use Pythagorean theorem.
c^2 = a^2+b^2
c^2 = 4^2+6^2
c^2 = 16+36
c^2 = 52
c = √52 = 7.21
 
        
             
        
        
        
Answer:
The answer is C.
Step-by-step explanation:
The simplest form is C.
 
        
                    
             
        
        
        
<span>f(x+5/4) means that f(x) is translated 5/4 units left.
f(x-5/4) means that f(x) is translated 5/4 units right.
f(x)-5/4 means that f(x) is translated 5/4 units down.
f(x)+5/4 means that f(x) is translated 5/4 units up.
f(x*5/4) means that f(x) is compressed by a factor of 5/4.
f(x/5/4) means that f(x) is stretched by a factor of 5/4.</span>
        
                    
             
        
        
        
Answer:
Yes (3.71428571429)
Step-by-step explanation:
all mixed numbers and fractions can be changed into decimals. The line in a fraction that separates the numerator and denominator can be rewritten using the division symbol. So, to convert a fraction to a decimal, divide the numerator by the denominator. If required, you can use a calculator to do this. This will give us our answer as a decimal.