Answer:
a) 
Step-by-step explanation:
She forgot to multiply 14 with -13
 
        
                    
             
        
        
        
The percentage error is 23%
Explanation:
The estimated total cost of the groceries = $50
The actual cost of the groceries = $65
To find the error value, we need to subtract the value of actual cost and total cost of the groceries.
Thus,
error value = actual cost - total cost
error value 
Hence, error value = $15
The formula to determine the percent error is given by

Substituting the values in the formula, we get,

Rounding off the value, we have, 23%
Thus, the percentage error is 23%
 
        
             
        
        
        
Answer: 6.25 yards
Step-by-step explanation: 
75 inches = 4 bows
To get 12, you have to multiply 4 by 3. Therefore, you also have to multiply 75 by 3. 
75*3 is 225. 
225 inches = 12 bows
225 inches is 6.25 yards. Hope this helps :)
 
        
             
        
        
        
Answer:
Step-by-step explanation:
Leaving leap years, a year contains 365 days.
For a group of 100 people, each person is independent of the other and probability of any day being his birthday has a chance of

a) Probability that  exactly 3 people have same birthday = 
Each day is independent of the other
And hence no of days having exactly 3 persons birthday out of 100 persons is binomial with n = 365 and p = 
Expected value of days = np = 
b) Distinct birthdays is binomail with p =1/365 and n = 365
Hence 
expected value = np =1
 
        
             
        
        
        
We have been given that Layana’s house is located at  on a map. The store where she works is located at
 on a map. The store where she works is located at  .
. 
We are asked to find the distance from Layana’s home to the store
We will use distance formula to solve our given problem.
Let us convert our given coordinates in improper fractions.



Now we will use distance formula to solve our given problem.

Upon substituting coordinates of our given point in above formula, we will get:






Therefore, the distance from Layana's home to the store is 4 units and option A is the correct choice.