the graph represents the normal distribution of recorded weights, in pounds, of cats at a veterinary clinic…

Explanation:

Step1: Recall normal - distribution property

In a normal distribution, weights within 2 standard deviations of the mean are in the interval $(\mu - 2\sigma,\mu + 2\sigma)$. If we assume the mean $\mu = 10$ and standard - deviation $\sigma = 0.5$ (by observing the graph where the peak is at $x = 10$ and the spread). The interval is $(10-2\times0.5,10 + 2\times0.5)=(9,11)$.

Step2: Check each option

For 8.4 lbs: $8.4<9$, so it is not within 2 standard deviations. For 8.9 lbs: $8.9<9$, so it is not within 2 standard deviations. For 9.5 lbs: $9<9.5<11$, so it is within 2 standard deviations. For 10.4 lbs: $9<10.4<11$, so it is within 2 standard deviations. For 10.9 lbs: $9<10.9<11$, so it is within 2 standard deviations.

Answer:

9.5 lbs, 10.4 lbs, 10.9 lbs