<span>The best answer to this problem is 0.0823.
np = 48 * 1/4 = 12
The exactly 15 would be written as 14.5 to 15.5. You then plug those into you equation separately.
e1= (14.5-12)/3 = 0.833 and e2 =(15.5 - 12)/3 = 1.167)
p(0.833<e<1.167)= 0.0808</span>
        
             
        
        
        
Answer:
8.4 or 6.2 
Step-by-step explanation:
 
        
             
        
        
        
For this case we use the following formula
 Area of Sector = Area * radians of sector / 2 * pi radians
 Where,
 Area: it is the area of the complete circle.
 We have then:
 Area = pi * r ^ 2
 Area = pi * (6) ^ 2
 Area = 36pi
 Substituting values:
 5pi = 36pi * radians of sector / 2 * pi
 Clearing:
 radians of sector = ((5pi) * (2pi)) / (36pi)
 radians of sector = (10pi ^ 2) / (36pi)
 radians of sector = (10pi) / (36)
 radians of sector = (10/36) pi
 radians of sector = (5/18) pi
 in degrees:
 (5/18) pi * (180 / pi) = 50 degrees
 Answer:
 The measure of the central angle is:
 50 degrees
        
             
        
        
        
A. 20% because you paid $21 out of $105 so 21/105 =.2 and to make it a percent you move the decimal over to places, making it 20%
        
             
        
        
        
You have a bunch of interesting figures there (check the diagram):
- square (in red)
- parallelogram (in green)
- Isosceles trapezoid (in yellow)
- Isosceles triangles (blue, and purple)
Notice that you have more than one of the same figures: a bunch of small isosceles triangles, tow isosceles trapezoids, two big isosceles triangles... etc.