Answer:
See below
Step-by-step explanation:
If a proposed value is outside the confidence interval, it is not a plausible value because the interval never catches it. So B is your best choice.
 
        
                    
             
        
        
        
Answer: x = 1/16
Step-by-step explanation: 
Since the inverse of a Logarithm is an exponential function, we know that the final solution has to involve an exponential function somewhere in it. 
 1. log B(2) {x} = -4  || given
 2. x = 2 ^ -4  || Logarithm rule that allows you to move the base of the logarithm to the base of the exponent on the other side. For example, if you had log B(5) {x} = 3, the base of 5 would move over to the other side and it would be raised to 3; x = 5^3.
 3. x = (1) / (2^4) || Simplify. Use the negative exponent rule. This rule always leaves a numerator of 1, and a denominator of your exponent. In this case, it will be 2 ^ -4, so you will do 2^4 which is 16 and you will put that over 1. Resulting in your final answer of x = 1/16
 
        
             
        
        
        
Answer:
y = -5
x = 2
Step-by-step explanation:
The computation is show below:
Given that 
-6x - 6y = 18
6x - 3y = 27
Now if we solved both equation so
-9y = 45
y = -5
And, x is 
-6x - 6(-5)  = 18
-6x + 30 = 18
-6x = 18 - 30
-6x = -12
x = 2
 
        
             
        
        
        
The first one is similar to the triangle