Answer:
a) The probability of selling less than 100 gallons (x≤1) is P=0.16.
b) The mean number of gallons is M=80 gallons.
Step-by-step explanation:
The probability of selling x, in hundred of gallons, on any day during the summer is y(x)=0.32x, in a range for x from [0;2.5].
The probability of selling less than 100 gallons (x≤1) is then:

The mean number of gallons can be calculated as:

 
        
             
        
        
        
Log(2)/log(1.064) ≈ 11.17 . . . . hours
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The population can be given by
  p(n) = p₀×1.064ⁿ . . . . where n is the number of hours
You want to find n whe p(n) = 2*p₀.
  2p₀ = p₀×1.064ⁿ . . . . . . . . . . . . substitute the given information
  2 = 1.064ⁿ . . . . . . . . . . . . . . . . . divide by p₀
  log(2) = n×log(1.064) . . . . . . . . take logs to make it a linear equation
  log(2)/log(1.064) = n . . . . . . . . divide by the coefficient of n
        
             
        
        
        
Fractions they are easy REALLY!!
        
                    
             
        
        
        
So what we're dealing with here is a similar triangle situation. Since ML is a midsegment, that means that IL and LJ are congruent. So, IL=LJ=13. This means that the whole side IJ is 26 (13+13=26). We also know that triangle IML and triangle IKJ are similar triangles, so their sides are proportional. This means that we can set up the ratio:
12/13 = x/26
and solve for x.
After multiplying 26 to both sides of the equation, we find that x=24, so KJ=24.
        
                    
             
        
        
        
Answer:
1. 
2. 13.5 + 
3. 
6. 
These four options are rational;
Step-by-step explanation:
1.  equals to 10 * 10 = 100 which is rational
 equals to 10 * 10 = 100 which is rational
2. 13.5 +  equals 13.5 + 9 = 22.5
 equals 13.5 + 9 = 22.5
3.  -- 3+27 = 30
 -- 3+27 = 30
6. 
Option 4 and 5 are irrational because they include   and
  and  which are not a perfect square and their answers will be non recurring and non terminating decimal fraction.
 which are not a perfect square and their answers will be non recurring and non terminating decimal fraction.