9514 1404 393
Answer:
   8.6
Step-by-step explanation:
The growth factor per year is 1.012, so in 500 years is ...
   1.012^500
The number of doublings is the solution to ...
   2^n = 1.012^500
Taking logarithms, we have ...
   n·log(2) = 500·log(1.012)
   n = 500·log(1.012)/log(2) ≈ 8.6046
About 8.6 doublings will take place in 500 years.
 
        
             
        
        
        
Answer: but I need the points sorri
        
             
        
        
        
9514 1404 393
Answer:
   (a)  Not congruent
Step-by-step explanation:
Angles are congruent, which means the triangles are <em>similar</em>. We need to know at least one pair of corresponding sides is congruent in order to say the triangles are congruent. No sides are marked, so we must conclude ...
   Not Congruent
 
        
             
        
        
        
The other person is literally wrong. The answer is D. Supplementary because two angles that add up to 180 are supplementary angles.
        
             
        
        
        
Answer:
(5.4582 ; 6.8618) 
Step-by-step explanation:
Given the data:
6 10 2 6 3 3 3 6 6 6 6 5 8 9 10 10 7 9 3 6 5 10 9 9 10 3 8 6 6 3 3 6 6 5 4 10 9 3 5 7 10 6 3 8 6 8 3 3 5 5
Sample mean, xbar = Σx / n
n = sample size = 50
ΣX = 308
xbar = 308 / 50 = 6.16
Using a Calculator :
The sample standard deviation, s = 2.469
Confidence interval = xbar ± margin of error 
Margin of Error = Tcritical * s/sqrt(n) 
Tcritical at 95% ; df = 50 - 1 = 49 
Tcritical = 2.010
Hence, 
Margin of Error= 2.010 * (2.469/sqrt(50)) = 0.7018
Lower boundary : (6.16 - 0.7018) = 5.4582
Upper boundary : (6.16 + 0.7018) = 6.8618
(5.4582 ; 6.8618)