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While implementing new program to be greener The team implements 2 trash bins One for recyclable and one for nonrecyclable material. From previous data people will ...

Question

While implementing new program to be greener The team implements 2 trash bins One for recyclable and one for nonrecyclable material. From previous data people will dispose nonrecyclable trash correctly in non-recyclable trash correctly 9380 of the time. Recyclable 85_ Trash is 40% recyclable:1)Probability that person throws their piece of trash in the correct bin?2)Assuming the bins are the same size which bin will get filled the quickest?3)What fraction ofthe waste in the recyclable bin is not

While implementing new program to be greener The team implements 2 trash bins One for recyclable and one for nonrecyclable material. From previous data people will dispose nonrecyclable trash correctly in non-recyclable trash correctly 9380 of the time. Recyclable 85_ Trash is 40% recyclable: 1)Probability that person throws their piece of trash in the correct bin? 2)Assuming the bins are the same size which bin will get filled the quickest? 3)What fraction ofthe waste in the recyclable bin is not recyclable?



Answers

Environment A solid waste disposal plan proposes to reduce the amount of garbage each person throws out by $2 \%$ each year. This year, each person threw out an average of 1500 Ib of garbage. The function $y=1500 \cdot 0.98^{x}$ models the average amount of garbage each person will throw out each year after $x$ years. Graph the function.

Question 19 were given a two way table that includes data on the opinions of consumers on whether recycled coffee filters are better, same or lower quality than non recycled filters. So for any to a table, it means that we have two variables that it represented. So one variable in this case is the opinion of the consumers, and that's split into three categories. So some think that recycled filters air of higher quality. Some think they're the same something they were lower and the other variable. The second variable is that of the consumer type. We have buyers, and we have non virus. So if you look at it data that's providing the question. We have 20 buyers who think that recycled filters are of better quality seven to think they're the same nine. You think they're lower and then for non buyers. We have this information. It's a part A s. What are the total number? What is the total number of people that the table represents Now? The quick answer is you can just some of these six cells that we see here because there is no overlap in any of these cells. So if you some of these, you'll get to your answer and these actually some to 133. But just to take this in a slightly more formal direction, any time you're asked to extract information from a two way table, a good starting point is to add up all the rows and add up all the columns. So if we add up the rose, we have 36 here, eight in here. We had 97 I believe, adding up the Collins 49 32 and 52 so we can add up all of the six original cells. Or we can add up the right most column or at a bottom most role. They all come out to 133. So the answer to the first part of a is 133 people represented by the table. And they also asked how many of the buyers of coffee filters how many of how many of the consumers were buyers of coffee filters. So this role here, by definition, are the buyers. The second row are the non virus, so the buyers role was adds up to 36. So therefore you can say that 36 consumers were actually buyers have recycled coffee filters. Now Part B asks as to give the marginal distribution. Ah, for the opinion variable so that marginal districts. So the opinion variable is shown by the three categories at the top hire same and lower, and its marginal distribution is given by the bottom row. So that one easy way to remember that that in marginal distributions are the column and row that are out on the margin of the page. So we made that extra call on way out on the right, which, with some of the rose, then an extra row at the bottom, which has some of the columns. So the marginal distribution of the opinion is this real down here, and a marginal distribution can be expressed in terms of counts, which is what we have here or in terms of percent. Both are correct. It really just depends on what you're asked for in the question. This question doesn't actually specify, so you can say a marginal distribution for the opinion. Very boys. 49 people said that the recycled filters were of higher quality. 32 said they were the same and 52 said they were lower. The other question that's asked, is what percent of consumers think The quality of the recycled recycled coffee filters is of the same or higher quality than compared to non recycled filters. So the number that think that the quality is the same is 32 and the number who have the opinion that the quality is higher is 49. So if we're looking for people who think that it's either the same or higher, we simply have to add those two numbers. 49 plus 32 u equals 81. So 81 is account, but the question asks for percent. So we must say, 81 divided by the total number of consumers, which is 133 and this comes out to 60.9%. So for Part B, you have your two answers. You have the marginal distribution 49 32 52 and you have 2% of consumers to think that recycled coffee filters are of the same or higher quality, compared to non recycle filters. In that 60.9%

So with this question, the first thing we're us to do is to calculate the percentage increase in West recycling from the year 2000 compared to 1960. So we must 67.7 minus 5.6, divided by 5.6 on this will give us a percentage increase off approximately 11.1% now, for part B of the question were asked to draw a graph, which I'm not going to do. But you can do that quite simply yourself. It's just a simple graph that needs to be drawn hotsy you're asked to say whether you agree that recycling has improved a great deal over the last few decades. Now, really, this is an opinion. I would say that yes, recycling has improved a great deal as only 5%. Roughly 5% waas recycled in 1960 compared to 67.7% in 2000. Um, this is a very big increase. So I would say that yes, um, is the answer to this question. Now, for part D

This is a ground based question, and the question is se and the graph shows the composition of a typical American communities trash. Okay, so the lexie total 100% trash is there than the paper. Trash is 35% yard waste is 12% food waste days. Okay, 12% plastic waste is 11% metal waste is 8% glass rest is 5% and other waste is 17%. These air, the total waste. Uh, these data are given in the question itself. Okay, so now we will read the question in the caution. Say that 1 £75 billion million pounds off crash in the form off paper in the form off paper that is thrown of every year. And how many billions of pounds off fresh do we throw every each year? Okay, so we know that paper is thrown at 35% it means and let's suppose access that total amount off total total pounds off presses there, then 35% off X will be 1 75. That is paper washed. Okay, so now we will solve that. I saw that X equals to 1 75 upon 35%. That is 1 75 upon 0.35 After solving that, we will get X equals to 500. That is 500 billion pounds. So we can say that the total amount off crash is once £500 billion. And that is our final answer. Thank you.

Okay, This is a ground based question on the graph. Shows the composition of a typical American community. Trash. Okay, so in the question, given the plastic trash is 35% of the total trash yard, trash is 12%. Food waste is 12%. Plastic waste is 11% metal waste is 8% glass waste is 5% and other waste is 17%. I'm sorry. This is paper waste. Okay. Paper west. And this is plastic west. Okay, so as for the question, the question says that 55 billion billion bones, they stayed off. Yeah, Plastic. Okay, plastic is there? Okay. And we know the plastic percentages. 11%. Okay, let's suppose access the total amount off trash thrown away each year. So 11% off x will be 55. Okay, so now we will solve that X equals to 55 upon 11%. That is 55 upon 0.11 That is X equals to 500 billion pounds. So £500 billion trash will be thrown away each year. And this will be our final answer. Thank you.


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