Answer:
The expression is equivalent to 4 square root 6 divided by 3 root 2 is:
8/3
Step-by-step explanation:
Given expression:
4 square root 6 divided by 3 root 2
 
 

square root of 2² = 2 hence, 
 
 
Common terms in the numerator and denominator cancels each other out

By solving the expression using simple mathematical rules, we got an equivalent expression of 

 
        
                    
             
        
        
        
Answer:
209.4 mm³
Step-by-step explanation:
V = (πr²h)/3
V = (200π)/3
Plug it into a calculator to get  209.4.
 
        
             
        
        
        
To solve this, you can set up an equation. Make the length of the shortest side x, so the 2 sides double the length will equal 2x. Since they all equal the perimeter of 36, do x + 2x + 2x =36. These values all represent the sides(2 longer, one short). Combine like terms to get 5x=36 then divide by 5 to find the value of x. x=7.2in meaning the shorter side is 7.2 inches while the longer sides are both 14.4 inches each since they are double in size.
        
             
        
        
        
Answer:
The 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 is (-8.04, 0.84).
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for the difference between population means is:

The information provided is as follows:

The critical value of <em>z</em> for 98% confidence level is,

Compute the 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 as follows:

      
Thus, the 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 is (-8.04, 0.84).
 
        
             
        
        
        
Answer:
503 $1 tickets sold.
Step-by-step explanation:
Use two equations  
Let x = number of $1 tickets sold  
Let y = number of $1.50 tickets sold  
x + y = 739  
1x + (1.5)y = 857  
First equation ==> y = 739 - x  
Plug this into the second equation  
x + (1.5)(739 - x) = 857  
x + 1108.5 - 1.5x = 857  
- 0.5x = -251.5  
x = 503  
There were 503 $1 tickets sold.  
To find the number of $1.50 tickets, just plug this value of x into either one of the equations.  
(503) + y = 739       (739 - 503 = 236)
y = 236  
There were 236 $1.50 tickets sold.