Answer:
0.25
Step-by-step explanation:
72% of courses have final exams and 46% of courses require research papers which means probability of 0.72 for courses that have final exams and 0.46 for courses that require research papers.
31% of courses have a research paper and a final exam, which means probability of 0.31 for both courses with exams and research papers, using Venn diagram approach, find picture attached to the solution.
P(R or E) = P(R) + P(E) - P(R and E), which gives:
P(R or E) = 0.15 + 0.41 - 0.31
P(R or E) = 0.25.
 
        
             
        
        
        
Answer:
Recursive formulas give us two pieces of information:
    The first term of the sequence
    The pattern rule to get any term from the term that comes before it
So I think A.Pattern
 
        
                    
             
        
        
        
No guarantee that there will enough hotdogs for the buns, we must find the common multiple between the usual number of hot dogs and buns in each package. 
Since we're looking for the smallest common multiple between 8 and 10, we can use the method shown below to compute for the least common multiple. 
8 = 2³ 
10 = 2 x 5
LCM = 2³ x 5 = 40
To purchase 40 hot dogs and buns, you need to buy 5 packages of buns and 4 packages of hot dogs.
Answer:
Hotdog: 4 packages
Buns: 5 packages
        
             
        
        
        
Answer:
Step-by-step explanation:
Ava had $28.50 to spend at the farmer's market. She bought three pumpkins from the $28.50 that she had to spend. 
After buying the three pumpkins, she had $12 left. This means that the amount that she spent on the pumpkin would be the total amount she had to spend - the amount she had left. This becomes 
28.50 -12 = $16.5
This means that the cost pet pumpkin would be total amount that she spent on pumpkin / the number of pumpkin that she bought. It becomes
The equation that will be used to find the price of pumpkin,P would be 
P = cost of n pumpkins /number of pumpkins
Where n is the number of pumpkins
In this case
Price of one pumpkin, p = cost of 3 pumpkins / 3 pumpkins
P = 16.5/3 = $5.5
 
        
             
        
        
        
Answer: the equations are 
0.02x + 0.07y = 156
y = 300 + x
Step-by-step explanation:
Let x represent the total dollar amount of phone sales that she makes.
Let y represent the the total dollar amount of computer sales that she makes.
Josiah earns a 2% commission on the total dollar amount of all phone sales he makes, and earns a 7% commission on all computer sales. She earned a total of $156 in commission. This means that 
0.02x + 0.07y = 156 - - - - - - - - - - -1
Josiah had $300 more in computer sales than in phone sales. This means that 
y = 300 + x