Answer:
X = 6
Step-by-step explanation:
See Attachment
 
        
             
        
        
        
<u>Given</u>:
Let the random variable x is normally distributed with mean  and
 and 
We need to determine the probability of 
<u>Probability of </u> <u>:</u>
<u>:</u>
The formula to determine the value of  is given by
 is given by

Thus, we have;

Simplifying, we get;


Using the normal distribution table, the value of -2 is given by 0.0228

Thus, the value of  is 0.0228
 is 0.0228
 
        
             
        
        
        
Answer:
A and C are proportional relationships.
Step-by-step explanation:
Recall that a "proportional relationship" has no constant term.  Thus, we eliminate Answers B and D immediately.
Answer A represents a proportional relationship:  y varies directly with the square of x.
Answer C also represents a proportional relationship:  y varies directly with x.
 
        
             
        
        
        
Answer:
x = 2
Step-by-step explanation:
5x + 3 = 7x - 1
Subtract 3 to both sides
5x = 7x - 4
Subtract 7x to both sides
-2x = -4
Divide by -2 to both sides.
x = 2
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