10 small boxes and 11 large boxes were shipped.
Step-by-step explanation:
Given, 
Total boxes shipped = 21
Total volume of shipped boxes = 342 cubic feet
Volume of each small box = 10 cubic feet
Volume of each large box = 22 cubic feet 
Let, 
Number of small boxes = x
Number of large boxes = y 
According to given statement; 
x+y=21     Eqn 1
10x+22y=342    Eqn 2
Multiplying Eqn 1 by 10 

Subtracting Eqn 3 from Eqn 2

Dividing both sides by 12

Putting y=11 in Eqn 1

10 small boxes and 11 large boxes were shipped.
Keywords: linear equation, subtraction
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A. 2x3=6 and 6x12=72 so 78 is greater than 36
6+72=79 which is less than 90
 
        
                    
             
        
        
        
7x+3+5x²
ax²+bx+c
5x²+7x+3
Hoped this helped!
        
             
        
        
        
Answer:
 
So the answer for this case would be n=94 rounded up to the nearest integer
Step-by-step explanation:
Information given
 represent the sample mean
 represent the sample mean 
 population mean (variable of interest)
 population mean (variable of interest)
 represent the population standard deviation
 represent the population standard deviation
n represent the sample size  
Solution to the problem
The margin of error is given by this formula:
 (a)
    (a)
And on this case we have that ME =120 and we are interested in order to find the value of n, if we solve n from equation (a) we got:
 (b)
   (b)
The confidence2 level is 98% or 0.98 then the significance level would be  and
 and  , the critical value for this case would be
, the critical value for this case would be  , replacing into formula (b) we got:
, replacing into formula (b) we got:
 
So the answer for this case would be n=94 rounded up to the nearest integer
 
        
             
        
        
        
Answer:
Step-by-step explanation:
The mode is the number of most repeated data in the set.
Given set 2, 1, 4, 7, 1 has mode 1 (repeated twice).
If we add 1 to the set the mode will remain 1 as it will repeat three times, so the mode won't change.
There is no change in mode, so the mode decrease is zero.