Answer:
a) P(Y > 76) = 0.0122
b) i) P(both of them will be more than 76 inches tall) = 0.00015
    ii) P(Y > 76) = 0.0007
Step-by-step explanation:
Given - The heights of men in a certain population follow a normal distribution with mean 69.7 inches and standard deviation 2.8 inches.
To find - (a) If a man is chosen at random from the population, find 
                     the probability that he will be more than 76 inches tall. 
               (b) If two men are chosen at random from the population, find 
                     the probability that 
                     (i) both of them will be more than 76 inches tall;
                     (ii) their mean height will be more than 76 inches.
Proof -
a)
P(Y > 76) = P(Y - mean > 76 - mean)
                  = P(  ) >
) >  )
)
                  = P(Z >   )
)
                  = P(Z >  )
)
                  = P(Z > 2.25)
                  = 1 - P(Z  ≤ 2.25)
                  = 0.0122
⇒P(Y > 76) = 0.0122
b)
(i)
P(both of them will be more than 76 inches tall) = (0.0122)² 
                                                                            = 0.00015
⇒P(both of them will be more than 76 inches tall) = 0.00015
(ii)
Given that,
Mean = 69.7, 
 = 1.979899,
 = 1.979899,
Now,
P(Y > 76) = P(Y - mean > 76 - mean)
                  = P(  )) >
)) >  )
)
                  = P(Z >  )
)
                  = P(Z >  ))
))
                  = P(Z > 3.182)
                  = 1 - P(Z ≤ 3.182)
                  = 0.0007
⇒P(Y > 76) = 0.0007
 
        
             
        
        
        
There are 2 pints in 1 quart
You have, for example, 6 pt of liquid
Since there are 2 pints in 1 quart, divide 6 and 2 together to get the qt amount you have
6/2 = 3
You have 3 qts
C is your answer
hope this helps
        
                    
             
        
        
        
Answer:
3x(2+n)+[7+n]
Step-by-step explanation:
The answer is kind of self-explanatory, but think of it this way.  If n=5, then the equation would be 3x(2+5)+[7+5]. First we would solve 2+5 which is 7. Then we would do 7+5 which is 12. We are now left with 3x7+5. 
 
        
             
        
        
        
Yes, since 17 is larger than 1 and 0.17 is less than 1.