Answer:
no solutions
Step-by-step explanation:
Since the two terms have the same base, we are able to use the rule for subtracting logarithms:

Therefore, the equation can be written as:

By using the definition of a logarithm we can say that:

When plugging this solution in, you find that the term  has x-6 evaluate to a number less than 0. This is not included in the domain of log functions, so
 has x-6 evaluate to a number less than 0. This is not included in the domain of log functions, so  is not a valid solution. This means that there are no solutions.
 is not a valid solution. This means that there are no solutions.
 
        
             
        
        
        
Your answer is x = 3 because if you take 150 and subtract it by both sides: 
 150 - 35x = 45
-150           -150
you have to cross out both 150 and -150, take 45 and subtract 150 which will give you -105. 
  -35x = -105 
take -35 and divide by both sides. Cross out the two -35's. Take -105/-35 which your answer is x = 3. Hopes this helps. :)
~Shadow
        
             
        
        
        
Answer:
The individual has 36.09 pounds of body fat.
Step-by-step explanation:
Given that an individual has a body fat percentage of 19.3% and weighs 187 pounds, to determine how many pounds of her weight is made up of fat the following calculation must be performed:
(187 x 19.3) / 100 = X
3.609.1 / 100 = X
36.091 = X
Therefore, the individual has 36.09 pounds of body fat.
 
        
             
        
        
        
M2 is 180-97.54 which equals 102.46
        
                    
             
        
        
        
Answer:
a) S = {1, 2, 3}
b) P(odd number) = 
c) No
d) Yes
Step-by-step explanation:
a) The sample space is the set of all possible outcomes. By definition, the elements of a set should not be repeated. Hence, the sample space S = {1, 2, 3}
However, the sample is not equiprobable because each element has different probabilities.
b) P(odd number) = 
Note that the odd numbers are 1 (on three faces) and 3 (on one face).
c) The fact the die has been biased does not change the possible outcomes. It only changes the probability of getting any given number.
d) Because the 3-face has been loaded, this probability changes. In fact, it is calculated thus:
Let's assume the probability for 1 or 2 is  . Then that of 3 is
. Then that of 3 is  (because it is twice the others). The sum of probabilities must be 1.
(because it is twice the others). The sum of probabilities must be 1.



P(odd number) =  Prob(1) + Prob(3)
Prob(1) + Prob(3)
=  =
 = 