Answer:
BC = 2
Step-by-step explanation:
We first need to use triangle BAD to find BD,
BD is the hypotenuse, so use pythagorean theorem...
       (√23)² + (√13)² = (BD)²
             23 + 13 = (BD)²
                36 = (BD)²
                   6 = BD
Now BD is the hypotenuse of triangle BCD, so use pythagorean theorem agian to find BC
      (4√2)² + (BC)² = 6²
             32 + (BC)² = 36
                    (BC)² = 4
                         BC = 2
 
        
             
        
        
        
Answer: 3,140 radians per minute.
Step-by-step explanation:
We know that the wheel does 500 revolutions per minute.
This is called the frequency of the wheel, and this is written as:
f = 500 rev/min = 500 RPM
The angular speed (or Angular velocity) is written as
ω = 2*pi*f 
And this quantity is in radians/unit of time.
where pi = 3.14 
then:
ω = 2*3.14*500 (rev/min)*(rad/rev) = 3,140 rad/min
This means that the angular velocity  (or angular speed) is 3,140 radians per minute.
 
        
                    
             
        
        
        
Since they reduced the markup price, or higher price, by 10%, the new markup price is 20% over the manufacturer price.
 
        
             
        
        
        
Answer:
The correct options are:
Interquartile ranges are not significantly impacted by outliers.
Lower and upper quartiles are needed to find the interquartile range. 
The data values should be listed in order before trying to find the interquartile range.
The option Subtract the lowest and highest values to find the interquartile range is incorrect because the difference between lowest and highest values will give us range.
The option A small interquartile range means the data is spread far away from the median is incorrect because a small interquartile means data is nor spread far away from the median