She can simplify the 12 and the 3. 
        
             
        
        
        
Absolute value is simply the distance from zero on a number line. -44 is 44 away from zero, so the absolute value of -44 is
44
        
                    
             
        
        
        
Answer:
(a) 0.2707
(b) 0.8576
Step-by-step explanation:
 
        
             
        
        
        
To find the specification limit such that only 0.5% of the bulbs will not exceed this limit we proceed as follows;
From the z-table, a z-score of -2.57 cuts off 0.005 in the left tail; given the formula for z-score
(x-μ)/σ
we shall have:
(x-5000)/50=-2.57
solving for x we get:
x-5000=-128.5
x=-128.5+5000
x=4871.50
        
             
        
        
        
Given, Shelby made 5 quarts of juice for a picnic.
We know that 1 quart of juice = 4 cups of juice.
Here we will have to convert 5 quarts to cups.
As for 1 quart there are 4 cups, to find 5 quarts we have to multiply 4 times 5.
So 5 quarts of juice =  cups of juice.
 cups of juice.
We know that, 
5 quarts of juice = 20 cups of juice.
We have got the required answer here.
Shelby made 20 cups of juice there in the picnic.