Charles--
The chart indicates the temp and the time a food item needs to remain at that temp to achieve the equivalent reduction in bacteria. For instance, a food item cooked to a temp of 130 and
maintained at 130 for 112 minutes will achieve the same level of bacterial reduction as food cooked to 140 (and maintained there) for 12 minutes, or cooked to and maintains at 165 for 2 seconds.
Getting a bit technical (but answering your question upthread--sorry I missed it), not every bacterium is killed during cooking. Bacterial reduction is discussed technically as '-log cycles' often referred to as 'D', (e.g.,1-log10 [the 10 is expressed below the line which I can't do here] or 1D), which means a factor of 10 reduction in bacteria. The chart above represents temps and times required to achieve a 7-log10 (7D)factor reduction of bacteria (a factor reduction of 10,000,000). The FDA standard for foods to be cooked and held for a period of time before service is 6.5D for beef products, e.g., 7D for fowl; most just use 7D as the target). Many experts feel a 5D factor reduction (100,000 factor reduction) is sufficient for cook and serve applications but the 7D standard is what most people refer to. The longer the food is to be held or stored before eating the the more necessary the reduction in bacteria (to a higher D) because any bacteria remaining can grow back. Foods cooked and held for a longer period, such as canned products--are processed to 12D.
Looking at my first paragraph again just to recap--to achieve a 7D reduction in bacteria food must be cooked (and held) at 130 for 112 minutes or 140 for 12 minutes or 165 for 2 seconds. In all cases a 7D reduction is achieved. (I will note here that the times are a bit different when salmonella is considered, such as for chicken and turkey. In this case a 7D reduction in salmonella is achieved at 25.2 minutes @ 140 for chicken (28.1 minutes, turkey), 13.7 seconds @ 160 for chicken (25.6 seconds, turkey).
That is where the bacteria in your question come from: those that were not killed during cooking. We're not talking lots here and the number depends on finish temp and time at that temp, but bacteria can re-establish during holding.
Because time is such a huge factor in potential contamination situations care must be taken when food is held at a lower temps. More time, more risk. There are charts that delineate holding times for various foods at various temps (you see, the 40-140 is not actually carved in stone--the USDA makes this recommendation, and recommends finish temps, but it is the FDA that is actually charged with determining the data--they also do the enforcing!). Conversely, less time, less risk. This is why you can cook a steak rare (120) and eat it without issue. Pulling the steak from the fridge, prepping it on the counter, cooking it, plating and serving usually does not take all that long so you are well within a safe range time-wise. (Using similar criteria to the FDA code suggests the total time you'd have for this steak would be 5.6 hours but most of us would consider that stretching it--and most of us would take nowhere near that long.)
For info geared to the home chef (with a bunch of technical-esque stuff that is not at all daunting)
this .pdf is worth downloading.
Hope this helps.