Answer: it’s C
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
  simplified: 3x^2+7x+5y-4
Step-by-step explanation:
all you gotta do is you add -5x and 12x
 
        
                    
             
        
        
        
Answer:
a) 
b) 
Step-by-step explanation:
The proportion of defective gadgets for this factory is p=0.2.
If a sample of n=100 gadgets is taken from the production, we can model the amount of defectives gadgets in this sample as a binomial random variable.
The probability of having k defectives in the sample can be written as:

Then, we can write the expression to calculate the probabilities of A: "less than 15 gadgets are mildly defective":

If we approximate this binomial distribtution to a normal distribution, we can calculate the new parameters as:

The continuity factor is applied for the change from a discrete distribution (binomial) to a continous distribution (normal). Then we have:

Now, we can calculate the probability P(A):

 
        
             
        
        
        
Answer:
82.5
Step-by-step explanation:
Step 1: We make the assumption that 200 is 100 % since it is our output value.
Step 2: We next represent the value we seek with x.
Step 3: From step 1, it follows that 100 % = 200.
Step 4: In the same vein, x % = 165 .
Step 5: This gives us a pair of simple equations:
100 % = 200(1).
x % = 165(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
100 % / x % = 200/165
Step 7: Taking the inverse (or reciprocal) of both sides yields
x/100 = 165/200
x = 82.5 %