Answer:
x = 6
Step-by-step explanation:
 
 
 
        
             
        
        
        
Answer:
Independent events
Step-by-step explanation:
They are independent events because by "lands on yellow" and "lands on green", we're assuming that we're doing something like spinning a spinner, because then we're not taking anything and not replacing it. When we're replacing something, then that's an independent event, and by spinning a spinner once, for Event A, and again for Event B, then we're already replacing everything.
 
        
             
        
        
        
Answer:
The  90 % confidence  interval  for the mean population is (11.176  ; 20.824 )
Rounding to at least two decimal places would give 11.18 , 20.83 
Step-by-step explanation:
Mean = x`= 16 miles per hour
standard deviation =s= 4.1 miles per hour
n= 4
 =  4.1/√4= 4.1/2= 2.05
  =  4.1/√4= 4.1/2= 2.05
1-α= 0.9
degrees of freedom =n-1=  df= 3
∈ ( estimator  t with 90 % and df= 3 from t - table ) 2.353
 Using Students' t - test 
x`±∈ * 
Putting values 
16 ± 2.353 * 2.05
= 16 + 4.82365
20.824  ;        11.176
The  90 % confidence  interval  for the mean population is (11.176  ; 20.824 ) 
Rounding to at least two decimal places would give 11.18 , 20.83
 
        
                    
             
        
        
        
Answer:
See explanation 
Step-by-step explanation:
A.  P(top)=top outcomes/all kinds of outcomes=4/30=2/15=13.33333333333...%
P(bottom)=bottom outcomes/ all kinds of outcomes=1/30=3.33333333....%
P(side)=25/30=5/6=83.33333333333...%
B. No. If were equally likely, the probabilities for A would have been roughly the same. It seems like the side event is more probable.