Answer:
(7, 3)
Step-by-step explanation:
Using the midpoint formula
M(X, Y) = {(ax1+bx2/a+b), ay1+by2/a+b}
X = ax1+bx2/a+b
X = -5(1)+3(11)/1+3
X = -5+33/4
X = 28/4
X = 7
Y = ay1+by2/a+b
Y = 1(12)+3(0)/1+3
Y = 12/4
Y = 3
Hence the coordinate of P is at (7, 3)
 
        
             
        
        
        
The sum of the inner angles of a polygon with n sides is 
Since your polygon has 6 sides, the sum of its inner angles has to be

On the other hand, the sum of its inner angles is

And it has to be 720, so we have

 
        
             
        
        
        
Answer:
110
Step-by-step explanation:
 
        
             
        
        
        
Answer:
Step-by-step explanation:
Use the "vertical line test."  Draw a vertical line through each graph.  If the line intersects the graph in more than one place, the graph does NOT represent a function.  Only the graph in the upper, right-hand corner represents a function, as a vertical line intersects this graph in only one place.
 
        
             
        
        
        
Answer: (0.1658, 0.2742)
Step-by-step explanation:
Formula to find the confidence interval for population proportion is given by :-

, where  n= sample size
z*= Critical value
 = sample proportion.
As per given , we have
Significance level : 
According to z-table, Critical value for 99% confidence interval : z*=2.576
Let p be the proportion of people in the country that have red hair.
n= 388

Now, required confidence interval for proportion of people in the country that have red hair will be :-




The 99% confidence interval for the proportion of people in the country that have red hair= (0.1658, 0.2742)