Answer:
8% likelihood that Anthony may soon join the Acme golf team
Step-by-step explanation:
The probabilities are as follows:
10% chance of being hired by the corporation.
If hired, an 80% probability of making the golf team is expected.
Given this information, we can calculate the probability of Anthony soon playing on the Acme golf team as:
80% of 10%
Thus
P = 0.8*0.1 = 0.08
8% chance that Anthony will soon be part of the Acme golf team
The formula for the sum of an arithmetic series is expressed as:
Sn=n/2(a1+an)
where:
n=total terms
a1=the initial term
an=the final term
given
n=18, an=275, Sn=4185
substituting these values into the equation results in:
4185=18/2(a1+275)
after simplification, we obtain:
4185=9(a1+275)
dividing by 9 yields:
465=a1+275
therefore
a1=465-275
a1=190
Conclusion: the first term is 190