Answer:  a. 5/12     b. 10 hours
Step-by-step explanation:
5/8 x 2/3 = 10/24 = 5/12
she spends 5/12 of the day awake at home
if a day has 24 hours then 5/12 of that is 5/12 x 24 = 10
so she spends 10 hours awake at home
 
        
             
        
        
        
Answer:
B. 2nd Play and B. 2nd Play
Step-by-step explanation:
#1) Going negative means going backwards. 
-8<10.5
#2) Absolute value means making all numbers INSIDE the two lines positive.
I-8I = 8
I10.5I = 10.5
 
        
                    
             
        
        
        
Answer:
a) 47.55
b) 58
c) 47.88
Step-by-step explanation:
Given that the size of the orders is uniformly distributed over the interval 
$25 ( a ) to $80 ( b )
<u>a) Determine the value for the first order size generated based on 0.41</u>
parameter for normal distribution is given as ;  a = 25,  b = 80
size/value of order  = a + random number ( b - a )
                                 = 25 + 0.41 ( 80 - 25 ) 
                                 =  47.55
<u>b) Value of the last order generated based on random number (0.6)</u>
= a + random number ( b - a )
= 25 + 0.6 ( 80 - 25 )
= 25 + 33 = 58 
<u>c) Average order size </u>
= ∑ order 1 + order 2 + ----- + order 10  ) / 10 
= (47.55 + ...... + 58 ) / 10
= 478.8 / 10 = 47.88 
 
        
             
        
        
        
Well it sounds like you mean smaller, not greater. 3/300 = 1/100 while 3/30 = 1/10. So 3 out of 300 is 10 times SMALLER than 3 out of 30. 
        
                    
             
        
        
        
The only things you can factor out of here is a 3 so you are left with:
3(y-6)
Hope that helps.