Answer:
1) x - 4 is greater than or equal to 18
x is greater than or equal to 22
2) 12 + x is less then or equal to 17
x is less the or equal to 5
3) 23 is less than x + 16
7 is less than x
4) -6 + x is greater than or equal to -7
x is greater than or equal to -1
 
        
                    
             
        
        
        
Answer:
correct.
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
The correct statement is:
On average, the height of a garden gnome varies 3.2 inches from the mean of 6 inches.
Step-by-step explanation:
We are given a data of 11 gardens as:
 2   9    1    23    3    7    10    2    10    9     7
Now on removing the outlier i.e. 23 (since it is the very large value as compared to other data points) the entries are as follows:
x         |x-x'|         
2          4               
9          3              
1           5              
3          3               
7           1                
10         4               
2           4              
10          4              
9           3              
7            1               
Now mean of the data is denoted by x' and is calculated as:
 
 
Hence, Mean(x')=6
Now,
∑ |x-x'|=32
Now mean of the absolute deviation is:

This means that , On average, the height of a garden gnome varies 3.2 inches from the mean of 6 inches.
 
        
             
        
        
        
Answer: 
- Let p be the population at t be the number of years since 2011.  Then,  
- The projected population of the high school in 2015=1800
- In <u>2019</u> the population be 1600 students
Step-by-step explanation:
Given: The population at Bishop High School students in 2011 =2000
Also,  Every year the population decreases by 50 students which implies the rate of decrease in population is constant.
So, the function is a linear function.
Let p be the population at t be the number of years since 2011.
Then, 
So at t=0, p=2000
In year 2015, t=4, substitute t=4 in the above equation ,we get

Hence, the projected population of the high school in 2015=1800
Now, put p=1600 in the function , we get

Now, 2011+8=2019
Hence, in <u>2019</u> the population be 1600 students
 
        
             
        
        
        
Part A: 
We see that this pair of equations has 1 solution. On a graph, the solutions of 2 (or more) lines is where the lines intersect. In this case, since these lines intersect 1 time, they have 1 solution. 
Part B:
As previously mentioned, the solutions of multiple lines is where the lines intersect. In this case, since they intersect at (4,4), that is the solution.