Answer:
5
Step-by-step explanation:
Rental = $40
Catering = $12 per person
Budget = $100
Amount left after paying for the rental
= 100 - 40
= $60
Maximum number of guests
= 60 ÷ 12
= 5
 
        
             
        
        
        
Answer:
Why is 3 an integer?
They are the numbers you usually count and they will continue on into infinity. Whole numbers are all natural numbers including 0 e.g. 0, 1, 2, 3, 4… Integers include all whole numbers and their negative counterpart e.g. … -4, -3, -2, -1, 0,1, 2, 3, 4
 
        
             
        
        
        
Answer:
0.0838 (8.62%)
Step-by-step explanation:
defining the event G= an out-of-state transaction took place in a gasoline station , then the probability is
P(G) = probability that the transaction is fraudulent * probability that took place in a gasoline station given that is fraudulent + probability that the transaction is not fraudulent * probability that took place in a gasoline station given that is not fraudulent =  0.033 * 0.092 + 0.977 * 0.034 = 0.0362
then we use the theorem of Bayes for conditional probability. Defining also the event F= the transaction is fraudulent  , then
P(F/G)=P(F∩G)/P(G) =  0.033 * 0.092 /0.0362 =  0.0838 (8.62%)
where
P(F∩G)= probability that the transaction is fraudulent and took place in a gasoline station
P(F/G)= probability that the transaction is fraudulent given that it took place in a gasoline station
 
        
                    
             
        
        
        
Answer:
Condition 1:
four times the sum of X and Y = 4(X + Y)
Condition 2:
the sum of four times X and Y=  4X + Y
         In condition 1, both the variables are first added and then multiplied by        four. This can be simplified as:
                     4X +4Y
I condition 2, only the variable X is multiplied with 4 and then added to Y.
          With positive integers, condition 1 will always give a greater value.
          With negative integers, condition 2 will have greater value.
I hope it will help you!
 
        
             
        
        
        
The circumference is 113.04 and multiple that by 7.50 to get 847.8 and i believe that’s the answer.