<h3>
Answer: 2.325</h3>
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Work Shown:
The shortcut way to do this is to plug a = 1.2, r = 0.5 and n = 5 into the formula below. 

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The longer way is to generate the first five terms, then add them up. To generate the terms, we multiply each term by 0.5 to get the next one.
a1 = first term = 1.2
a2 = second term = 0.6, result of multiplying 0.5 and 1.2
a3 = third term = 0.3
a4 = fourth term = 0.15
a5 = fifth term = 0.075
Now add up the five terms
a1+a2+a3+a4+a5 = 1.2+0.6+0.3+0.15+0.075 = 2.325
This method isn't too tedious since n = 5 isn't too large. For large values of n, it is better to use the formula shown in the previous section.
 
        
        
        
Answer:
8% probability that Anthony will soon be playing on the Acme golf team
Step-by-step explanation:
We have these following probabilities:
10% probability that he is hired by the corporation.
If he is hired by the corporation, an 80% probability that he will earn a spot on the golf team.
Given this information we can estimate that the likelihood that Anthony will soon be playing on the Acme golf team to be:
80% of 10%
So
P = 0.8*0.1 = 0.08
8% probability that Anthony will soon be playing on the Acme golf team
 
        
             
        
        
        
It would be 67 because its the same decrease as the other.
        
             
        
        
        
Answer:
(x+1)² + y² = 36
Step-by-step explanation:
<u>Equation of a circle:</u>
(x-h)² + (y-k)² = r²
Center: (h,k)
Radius: r
Given a center of (-1,0) and a radius of 6, we have for our equation:
(x-(-1))² + (y-0)² = 6²
(x+1)² + y² = 36