The volume of cylinder shaped trash can is 4698 cubic inches, if the trash can has a height of 24.90 inches and a diameter of 15.50 inches.
Step-by-step explanation:
The given is, 
                   Trash can has a height of 24.90 inches
                   Diameter of 15.50 inches
Step:1
                 Formula to calculate the volume of cylinder,
                               
.............................(1)
                Where, r - radius of cylinder
                            h - Height of cylinder
                From given,
                           h - 24.90 inches
                           D - 15.50 inches
                 Diameter to radius conversion,
                                    
                                                    
                                                  r = 7.75 inches
               Equation (1) becomes,
                                                 
                                                     
 
                                                     
                                                     
           (∵ 
 )
                                                     = 4698.42
                                                    ≅ 4698 cubic inches
             Volume of trash can, V = 4698 cubic inches
Result:
              The volume of cylinder shaped trash can is 4698 cubic inches, if the trash can has a height of 24.90 inches and a diameter of 15.50 inches.                                
                                      
 
        
             
        
        
        
Answer:
Step-by-step explanation:
the formula for the circumference of a circle is 2rπ
the formula for the area of a circle is (r^2)π
the formula for the diameter of a circle is 2r
π=3.14
---------------------------------------------------------------
1. diameter =2r.    since diameter=24, r=12
2. circumference=2rπ.     since circumference = 314.     314=2rπ       r=49.9746
3. circumference=2rπ                                           area=(r^2)π
    since r=7, circumference=14π=43.98229      since r=7, area is 49π=153.9380
4. Since the diameter is 20 the radius is 10. so just insert it into the formulas as before:    circumference=20π=62.8318 and area=100π=314.15926
5.  the formula for the diameter is 2r=d        2(18)=d,    36=d
6. 2rπ=circumference = 2(5)π=10π=31.415926
Hope that helps :)
 
        
             
        
        
        
Answer: X = 5
Step-by-step explanation:
The correct formula to solve the problem is:
11x - 8 = 47
First, add 8 to each side.
11x = 55
Solve it by dividing both sides by 11:
X = 5
 
        
             
        
        
        
<span>In math notation, we've done this: z = (X - μ) / σ = (940 - 850) / 100 = 0.90
where z is the z-score
X is Vivian's score (940)
µ is the mean (850)
σ is the standard deviation (100)
As you may know, in a normal distribution it's expected that about 68% of all observations will fall within 1 standard deviation of the mean, 95% will fall within 2 standard deviations, and 99% will fall within 3 standard deviations. 
940 lie before the first standard deviation, in which 16.5% is above it
since 940 is 0.9 from the mean and 0.1 from the first standard deviation
so above it is 17.5 % = 0.175 or about 0.18 </span>
        
             
        
        
        
Answer:
-4
Step-by-step explanation:
(4-2)^3 - 3*4
PEMDAS
P arentheses
(2)^3 - 3*4
E xponents
8 -3*4
MD  multiply and divide from left to right
8 - 12
AS add and subtract from left to right
-4