Answer:

or

Step-by-step explanation:
The expression  can be simplified by first writing the fraction under one single radical instead of two.
 can be simplified by first writing the fraction under one single radical instead of two.

5/15 simplifies because both share the same factor 5.
It becomes 
This can simplify further by breaking apart the radical.

A radical cannot be left in the denominator, so rationalize it by multiplying by √3 to numerator and denominator.

 
        
             
        
        
        
Where is the table? You could potentiallysolve this by deconstructing the function.
 
        
             
        
        
        
This will give us

That is the second option. 
Please mark me as brainliest.
 
        
        
        
Answer:
71.123 mph ≤ μ ≤ 77.277 mph
Step-by-step explanation:
Taking into account that the speed of all cars traveling on this highway have a normal distribution and we can only know the mean and the standard deviation of the sample, the confidence interval for the mean is calculated as:
 ≤ μ ≤
 ≤ μ ≤ 
Where m is the mean of the sample, s is the standard deviation of the sample, n is the size of the sample, μ is the mean speed of all cars, and  is the number for t-student distribution where a/2 is the amount of area in one tail and n-1 are the degrees of freedom.
 is the number for t-student distribution where a/2 is the amount of area in one tail and n-1 are the degrees of freedom.
the mean and the standard deviation of the sample are equal to 74.2 and 5.3083 respectively, the size of the sample is 10, the distribution t- student has 9 degrees of freedom and the value of a is 10%.
So, if we replace m by 74.2, s by 5.3083, n by 10 and  by 1.8331, we get that the 90% confidence interval for the mean speed is:
 by 1.8331, we get that the 90% confidence interval for the mean speed is:
 ≤ μ ≤
 ≤ μ ≤ 
74.2 - 3.077 ≤ μ ≤ 74.2 + 3.077
71.123 ≤ μ ≤ 77.277