Answer:
0.3333 = 33.33% probability that the employee will arrive between 8:15 a.m. and 8:25 a.m. 
Step-by-step explanation:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distributon has two bounds, a and b, and the probability of finding a value between c and d is given by:

A particular employee arrives at work sometime between 8:00 a.m. and 8:30 a.m.
We can consider 8 am = 0, and 8:30 am  = 30, so 
Find the probability that the employee will arrive between 8:15 a.m. and 8:25 a.m. 
Between 15 and 25, so:

0.3333 = 33.33% probability that the employee will arrive between 8:15 a.m. and 8:25 a.m. 
 
        
             
        
        
        
Answer:
25 / 676
Step-by-step explanation:
There are 5 vowels in the alphabets, and there are 26 alphabets in total as a whole. 
The probability of drawing a vowel kb first trial is going to be 
5 / 26, total number of vowels and total number of alphabets as a whole. 
Again, we're told to replace the picked vowel, and pick another vowel, so that will once again be 
5 / 26.
To get the final answer, we multiply both answers by each other
5 / 26 * 5 / 26 = 25 / 676.
Therefore, the probability has been found to be 25 / 676
 
        
             
        
        
        
Answer:
                             
Explanation:
You are comparing irrational numbers.
By inspection, i.e. at first sight you can only compare  because they have the same radicand.
 because they have the same radicand.
You can order: 
You can introduce the 2 inside the radical by squaring it:
        
Since 5 is between 3 and 12, you can order:
Which is:
You must know that π ≈ 3.14.
5 is less than 9 and the square root of 9 is 3; hence,  and
 and 
Now you must determine whether π is less than or greater than 
Using a calculator or probing numbers between 3 and 4 you get 
Hence, the complete order is: