Answer:
he sum of four consecutive integers is -42.
Step-by-step explanation:
 
        
             
        
        
        
4x -  y + 3 =0 is the equation of the line 
Step-by-step explanation:
Given:
The slope of the line  =  5
The points through with the line passes = (0,3)
To Find:
The equation of the line  =?
Solution:
The equation  y = mx + b 
where m is the slope and (0,b) is the y-intercept.
The slope is given which is m = 4 and a point (0,3)
Then you can use slope-point equation

where  is the given point
 is the given point
y - (3) = 4(x - 0)
y - 3 = 4(x) 
y = 4x - 22
y - 3 = 4x 
4x - y + 3 = 0
 
        
                    
             
        
        
        
Answer:
1/3
Step-by-step explanation:
 
        
                    
             
        
        
        
The survey is biase because it is only surveying shoppers that have registered on the website,.
 
        
             
        
        
        
Answer:
a. 0.689
b. 0.8
c. 0.427
Step-by-step explanation:
The given scenario indicates hyper-geometric experiment because because successive trials are dependent and probability of success changes on each trial. 
The probability mass function for hyper-geometric distribution is 
P(X=x)=kCx(N-k)C(n-x)/NCn
where N=4+3+3=10
n=2
k=4
a.
P(X>0)=1-P(X=0)
The probability mass function for hyper-geometric distribution is 
P(X=x)=kCx(N-k)C(n-x)/NCn
P(X=0)=4C0(6C2)/10C2=15/45=0.311
P(X>0)=1-P(X=0)=1-0.311=0.689
P(X>0)=0.689
b.
The mean of hyper-geometric distribution is 
μx=nk/N
μx=2*4/10=8/10=0.8
c.
The variance of hyper-geometric distribution is 
σx²=nk(N-k).(N-n)/N²(N-1)
σx²=2*4(10-4).(10-2)/10²*9
σx²=8*6*8/900=384/900=0.427