Answer: each guest gets 4.19 cm²
Step-by-step explanation:
The cake is a circle. The area which he cuts for himself is a sector with a central angle of 120 degrees. The formula for determining the area of a sector is expressed as 
Area of sector = θ/360 × πr²
Where
θ represents the central angle
π is a constant whose value is 3.14
r represents the radius of the circle.
From the diagram,
r = 4cm
Therefore, area of the cake that he cut for himself is 
120/360 × 3.14 × 4²
= 16.75 cm²
The total area of the cake is 
3.14 × 4² = 50.24 cm²
Therefore, the rest of the cake is 
50.24 - 16.75 = 33.49 cm²
The amount that each guest gets would be 
33.49/8 = 4.19 cm²
 
        
             
        
        
        
Answer:
x= -7/4
Step-by-step explanation:
8x= -14 
Divide both sides by 8 
8x/8 = -14/8
Simplify 
x= -7/4
 
        
                    
             
        
        
        
Answer:15 minutes 
Step-by-step explanation: 5/2 * 6 = 30/2 = 15
 
        
                    
             
        
        
        
The probabilities that correctly complete this probability distribution for 50 packages of nuts will be 0.24, 0.2, 0.12, 0.28, and 0.16.
<h3>How to calculate the probability?</h3>
From the information given, we have to find the probability for each fruit. This will be:
Almond = 12/50 = 0.24
Cashew = 10/50 = 0.2
Mixed = 6/50 = 0.12
Peanut = 14/50 = 0.28
Pecan = 8/50 = 0.16
Therefore, the probabilities that correctly complete this probability distribution for 50 packages of nuts will be 0.24, 0.2, 0.12, 0.28, and 0.16.
Learn more about probability on:
brainly.com/question/24756209
#SPJ1
 
        
             
        
        
        
Answer:
The bottom left one 
Step-by-step explanation:
They are the only graph that has one output for each x value