Answer:
 .
.
Step-by-step explanation:
How many unique combinations are possible in total?
This question takes 5 objects randomly out of a bag of 50 objects. The order in which these objects come out doesn't matter. Therefore, the number of unique choices possible will the sames as the combination
 .
.
How many out of that 2,118,760 combinations will satisfy the request?
Number of ways to choose 2 red candies out a batch of 28:
 .
.
Number of ways to choose 3 green candies out of a batch of 8:
 .
.
However, choosing two red candies out of a batch of 28 red candies does not influence the number of ways of choosing three green candies out of a batch of 8 green candies. The number of ways of choosing 2 red candies and 3 green candies will be the product of the two numbers of ways of choosing
 .
.
The probability that the 5 candies chosen out of the 50 contain 2 red and 3 green will be:
 .
.
 
        
             
        
        
        
5x - 5 = x + 11
5x = x + 16
4x = 16
x = 4
        
                    
             
        
        
        
Answer:
10.5 is the answer
Step-by-step explanation:
4(5y−8−2)=185−15
(4)(5y)+(4)(−8)+(4)(−2)=185+−15(Distribute)
20y+−32+−8=185+−15
(20y)+(−32+−8)=(185+−15)(Combine Like Terms)
20y+−40=170
20y−40=170
20y−40+40=170+40
20y=210
20y/20=210/20
y=21/2
y=10.5
 
        
             
        
        
        
Answer: 320°
Step-by-step explanation:
This is a circle geometry. 
The arc length of the circle is given to be 8πcm and the radius is 4.5cm.
Now the length of an arc of a circle is
Arc length = πr0°/180° or 2πr0°/360°
To find the angle 0° subtend at the center we equate the arc length with the formula and solve for 0°.Now we go
πr0°/180 = 8π, convert to a simple linear equal and solve for the angle.
πr0° = 8π × 180
0°. = 8π × 180
 -----------
 π × r
 = 8 × 180. 8 × 180
 -------- or ---------
 9/2. 4.5
 = 8 × 180 × 2
 ------------
 9
 = 8 × 20 × 2
 = 320°
or 8 × 180/4.5
 = 1440/4.5
 = 320°
 
  
        
             
        
        
        
Answer:
96
Step-by-step explanation:
96 -01
500-10 = 49