\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Suppose \(X\) represents the weight (in kilograms) of backpacks carried by students, and it follows a normal distribution with a mean of 8 kg and a standard deviation of 1.5 kg. The school sets a minimum weight limit for a strength training program such that 95\(\pourcent\) of students carry at least this weight. Find this weight (i.e., the 5th percentile, since it’s the lower tail). Round your answer to one decimal place.
\(x \approx\)