Answer:
<em>(f+g)(x) </em>= 5x + 3
Step-by-step explanation:
 
        
             
        
        
        
Answer:
(a) There are outliers
(b) 
 and 
Step-by-step explanation:
Given







Solving (a): Check for outliers
This is calculated using:
 --- lower bound of outlier
 --- upper bound of outlier
Where

So, we have:


The lower bound of outlier becomes




The upper bound of outlier becomes




So, we have:
 --- the range without outlier
Given that:
  --- This represents the lowest data
   --- This represents the highest data
-24 and 64 are out of range of 
.
Hence, there are outliers
Solving (b): The outliers
The outliers are data less than the lower bound (i.e. less than -14) or greater than the upper bound (i.e. 62)
So, the outliers are:
 and 
 
        
             
        
        
        
Find the cost for one ticket for the science center.
36.75 ÷ 3 = 12.25
Multiply the product with 12 to get the cost of 12 tickets.
12.25 × 12 = 147
Find the cost of 1 zoo ticket.
51 ÷ 4 = 12.75
Find the cost of 12 tickets by multiplying the product and 12
12.75 × 12 = $153
12 Science Center Tickets cost $147
12 zoo tickets cost $153
The Zoo costs more than the Science Center.
To find out how much more the Zoo costed, subtract 147 from 153.
153 - 147 = 6
The zoo only costs $6 more for 12 students.
So, you're answers are Zoo and $6
        
             
        
        
        
Variance of a continuous random variable X is defined as
 
Standard deviation is defined as

Hence standard deviation is the positive square root of variance.