1. Below is a graph that shows the of sediment rocky gransthat have a partide di
ID: 3224324 • Letter: 1
Question
1. Below is a graph that shows the of sediment rocky gransthat have a partide diameter finer than a Grain (uml Approximately what percentage of grains arefiner than 1000 um? b) What is the median grain size? 2. At precisely 1200 pm, a single bacterium was placed into a magical botte that provides al the requirements for life. The bacterium immediately began growing dividing into two bacteria after only one minute lat time 1201 pm) These two bacteria grew until they, too, divided after one minute (so, there are now4bacteria at 1202 pm. This continues until 1200 pm, at which time the bottle is full a)At what time was the bottle halffull? Suppose instead that, at the time the bottle was hal-ful researcher intervened and distributed the bacteria equaly among four new bottles of the same size as the original botte. At what time wil al the bottes become full?Explanation / Answer
1a. The graph is too small to make an approximation. You have to enlarge and see where the lines 1000 um line crosses the graph, but as I see you mention 82, I think 82 is a good approximation. Even 80 can be a good approximation too.
1b. The horizontal axis is a logarothmic scale, so the tick marks are not uniform. The first minor tick on the horizontal axis after 100 um is 200 um. To find the median, we need to find the 50% point,i.e., the value of grain size at 50% cumulative level. From the picture, it seems to be somewhere between 100 and 200. The graph needs to be enlarged to see a better approximation, but 150 um seems to be a good approximation.
2.
(a) It takes one minute for each bacterium to divide into two. Since the bottle becomes full in one hour (60 minutes), it was half-full one minute prior to becoming full. So the bottle was half full at 12.59 p.m. (it takes 59 minutes for the bottleto become half full).
(b) At 12.59 p.m., the researcher intervened and distributed the bacteria equally among four new bottles of the same size as the original one. So now, each new bottle is 1/8th full, since the original bottle was 1/2 at the time the researcher intervened.
So, each bottle would become 1/4th full in 1 minutes, 1/2 full in 2 minutes and full in 3 minutes. Thus, all the bottles would become full in 3 minutes, i.e., at 1.02 p.m.
P.S. Please post bigger, legible and clearer images
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