Identify the 19th term of a geometric sequence where a1 = 14 and a9 = 358.80. round the common ratio and 19th term to the nearest hundredth.
a. a19 ≈ 9,195.53
b. a19 ≈ 31,035.73
c. a19 ≈ 13,185.66
d. a19 ≈ 20,690.

Thompson and thompson is a steel bolts manufacturing company. their current steel bolts have a mean diameter of 127 millimeters, and a variance of 36. if a random sample of 35 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 0.5 millimeters? round your answer to four decimal places.