Answer:
y intercept is 0
Step-by-step explanation:
y=2/3x+b
if x=0 y=0           (0,0)
if x=3, y=2          (3,2)
y=2/3x+b
2=2+b
b=0
 
        
             
        
        
        
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: x° = 20
Steps:
100 + x + 3x = 180
x + 3x = 80
4x = 80
x = 80/4
x = 20
Check: 
100 + x + 3x = 180
100 + 20 + 3(20) = 180
100 + 20 + 60 = 180
180 = 180 ✅
        
             
        
        
        
Answer:
11. 736080 cars //   12. 5397920 cars
Step-by-step explanation:
given total number of cars produced : 6,134,000
100% -->6,134,000
1%--> 6,134,000 /100
1% --> 61340
given big cars of America is 12%
so to find this 12% = 12 * 61340 = 736080 cars produced by America
by other manufactures =  total cars - big cars of America
                                        = 6,134,000 - 7,36,080
                                        = 5397920 cars