Answer:
10.20% probability that a randomly chosen book is more than 20.2 mm thick
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean  and standard deviation
 and standard deviation  , the zscore of a measure X is given by:
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
250 sheets, each sheet has mean 0.08 mm and standard deviation 0.01 mm.
So for the book.

What is the probability that a randomly chosen book is more than 20.2 mm thick (not including the covers)
This is 1 subtracted by the pvalue of Z when X = 20.2. So



 has a pvalue of 0.8980
 has a pvalue of 0.8980
1 - 0.8980 = 0.1020
10.20% probability that a randomly chosen book is more than 20.2 mm thick
 
        
             
        
        
        
Step-by-step explanation:
The square root of 3 is the positive real number that, when multiplied by itself, gives the number 3. It is denoted mathematically as √3. It is more precisely called the principal square root of 3, to distinguish it from the negative number with the same property. The square root of 3 is an irrational number. 
 
        
             
        
        
        
check the picture below.
notice, the sum of u+v yields the red vector, and its magnitude is smaller than the sum of the other two green ones.
 
        
                    
             
        
        
        
Answer:
a)g: 3x + 4y = 10   b) a:x+y = 5           c) c: 3x + 4y = 10
h: 6x + 8y = 5         b:2x + 3y = 8         d: 6x + 8y = 5
Step-by-step explanation:
a) Has no solution 
g: 3x + 4y = 10
h: 6x + 8y = 5
Above Equations  gives  you  parallel lines refer attachment
b) has exactly one solution
a:x+y = 5
b:2x + 3y = 8 
Above Equations  gives  you  intersecting lines refer attachment
c) has infinitely many solutions
c: 3x + 4y = 10
d: 6x + 8y = 5
Above Equations  gives  you  collinear lines refer attachment
i) if we add   x + 2y = 1 to equation x + y = 5 to make an inconsistent system.
ii) if we add   x + 2y = 3 to equation x + y = 5 to create infinitely system.
iii) if we add  x + 4y = 1 to equation x + y = 5 to create infinitely system.
iv) if we add to x + y =5 equation x + y = 5  to change the unique solution you had  to a different unique solution