12.5% = .125
32 x .125 = 4
32 + 4 = $36
        
                    
             
        
        
        
Answer:
B) Independent; the 1st marble selection will not affect the 2nd marble selection.
Step-by-step explanation:
When finding the probability of events in mathematics, we have both independent and dependent events.
Independent events are events that occur when the results of selection of the first events does not affect the results or outcomes of the second events.
Dependent events are the opposite of Independent events. They are events that occur when the results or outcomes obtained from the second events is affected by the results or outcomes from the selection of the first events. 
From the question, we can see that the first event is she picked one marble from the bag. The second event is she replaced the marble before picking another marble. By doing this, the total number of possible outcomes for the probabilities of both events remains the same and they are unaffected.
Therefore, we can say that the two events are Independent because the 1st marble selection will not affect the 2nd marble selection.
 
        
                    
             
        
        
        
Answer:
Step-by-step explanation:
The domain of the function y=tan(x) ) is all real numbers except the values where cos(x) is equal to 0 , that is, the values π2+πn for all integers n . The range of the tangent function is all real numbers.
 
        
             
        
        
        
if the given point satisfies this equation then it would be its solution 
(-1)=2(5)-11
-1=10-1
-1=-1
lHS=RHS
Hence (/,-1) is the solution of y=2x-11