Answer: 
Step-by-step explanation:
We know that the total number of outcomes for fair dice {1,2,3,4,5,6} = 6
Given : Favorable outcome = 5
i.e. Number of favorable outcomes =1
We know that the formula to find the probability for each event is given by :-

Then, the probability that the six  faces cube will land with the number 5 face up will be :_

Hence, the required probability = 
 
        
             
        
        
        
Answer:
(C) 18
Step-by-step explanation:
We can create a systems of equations. Assuming  is Michelle's age,
 is Michelle's age,  is Joan's age, and
 is Joan's age, and  is Ryan's age, the equations are:
 is Ryan's age, the equations are:



We can use substitution, since we know the "values" of m and j.


So we know that Joan is 18 years old.
Hope this helped!
 
        
             
        
        
        
Answer: The distance between Fort Collins and Greeley is 35.84 km.
Step-by-step explanation:
Since we have given that 
Distance travelled due south of Fort Collins = 18 km
Distance traveled due west of Greeley = 31 km
So, using the pythagorous theorem, we will find the distance between Fort Collins and Greeley.
So, it becomes,

So, the distance between Fort Collins and Greeley is 35.84 km.
 
        
             
        
        
        
3(8-4x) < 5(x-5)
24-12x < 5x-25
-12x-5x < -25 -24
-17x < -49
x > ⁴⁹/₁₇