Final answer:
To round 14.9065 to the nearest hundredth, we increase the hundredths place by one because the thousandths place is 6, which results in x = 14.91.
Step-by-step explanation:
The student is asking to round the number x which is given as 14.9065 to the nearest hundredth. To round to the nearest hundredth, we look at the third decimal place (which is in the thousandths). If this digit is 5 or greater, we round up. If it is less than 5, we keep the hundredths place as it is. Since the third decimal place in 14.9065 is a 6, we round up. Thus, x = 14.91 when rounded to the nearest hundredth.