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9. Looking Forward, ,Looking ! back For each statement; incorrect units are given, Correct the statement and cxplain why it was wrong a. The average height ofthe ma...

Question

9. Looking Forward, ,Looking ! back For each statement; incorrect units are given, Correct the statement and cxplain why it was wrong a. The average height ofthe males in our class is 69 square inches_b. The average square footage ofhomes in this town is 1,500 feet;

9. Looking Forward, ,Looking ! back For each statement; incorrect units are given, Correct the statement and cxplain why it was wrong a. The average height ofthe males in our class is 69 square inches_ b. The average square footage ofhomes in this town is 1,500 feet;



Answers

Which one of the following statements is incorrect? (a) Direct and indirect methods are used for the measurement of physical quantities. (b) Scientific notation and the prefixes are used to simplify numerical computation. (c) A dimensionally correct equation need not be a correct equation. (d) The SI units is based on six base units.

Uh we're gonna talk about exact numbers and exact numbers result from counting numbers. And it can include unit conversions as well. And so here we have examples of six scenarios or six things here and we want to classify these um if as exact numbers or non exact numbers in terms of how well we would get based on my calculations here. Um So the first one we have the mass of the 905 millimeter coffee cup. Um And so when you do take the mass of a for example, this 905 military coffee, um the scale may fluctuate and you're never gonna get necessarily an exact number. Um So this is not an exact number. For that particular reason, it will fluctuate. Um And for the second one, we have a number of students in a chemistry class. Well we're gonna go ahead and count the number of students in a chemistry class. You're never going to get 36 a half. You're not gonna, you know the half, we have to count everything. You're not going to get 40.3 or 60 point, you know, you're not gonna get a trickling decimal after. Of course. So you're always gonna get a whole number, you always going to know the exact number of students in that particular chemistry class. So this is in fact an exact number, and the results from counting the third one is the sun's surface temperature. And so again, uh we never, we're never really going to know that. We can always approximate the sun's surface temperature. Um Again, it's not gonna be an exact number just because it can be rather difficult to actually even measure that, but we can come close so we can do, the best we can do is approximate. Um and we can be a little bit off, but for that particular reason we is the sun's surface temperature um will not be an exact number. The first one, we do have the postage stamp mass. Um And again, uh if you were to weigh that on this scale, it's not going to be necessarily exact, it's going to fluctuate a little bit. Um You can you can get a little bit of differentiating from scale to scale. Um So it's not gonna be exact, so this will not be an exact number. Mhm. Then our fifth one, we have the number of milliliters in a cubic meter of water. So we do we can't do some unit conversions with this in terms of finding the number of meters and that cubic meter of water. And so because we are able to do unit conversions, this can't be in fact an exact number when we go ahead and do figure that out. And lastly we have the average height of N. B. A basketball players. Um And so when we do determine the height of someone, it's never going to be exact per se. Um we can get, you know, we have feet and inches and uh we can get trickling, we keep not necessarily trickling down so we can get in terms of not an exact high per se. Um And if we do take the average height of all the NBA, NBA basketball players were not going to get necessarily a whole number, um it's not going to be exact whatsoever. We will get an average and that will include decimals. Um And so because of that reason that we this the average height of NBA basketball players is not going to be an exact number.

This question is quite a short question. We are given to statements from a biology student on. We have to say what is wrong with each of their statements? So impart you. They're saying that they're all squared of 90% implies the Alinea model is appropriate or that enable door Patika So that's good. This is wrong because your r squared value is looking at variability in data that is, um, it doesn't really look at whether the model itself is appropriate. It's all about the strength off the linear relationship, and that is that variability Because, remember, we get all ask about you from our correlations. There is all about the relationship between the two variables, whether than the model, So your R squared can never. It's not a good indication of the model itself. Rather, the relationship between the two things. That is the reason that one's wrong on. The second statement is saying that a bird 10 inches tool will have a wingspan of 17 inches. The key but here is they said, will, which you definitely should know, because all of this is predictions and that is the important. Remember here. This is all in statistics were never really stating a fact or absolute truth. It's all about what we think will be her, what we think will happen. So the actual wind span could be very different, and that's where we get our residuals. It could be higher or lower. So never in a judgment or a conclusion say that things will happen or this is what it is. You say. This is the predicted value, so the main butler is, they said.

In this problem, I can give you more direct angular room. The M. V. P is equal to all my application being my application at to carving it further, I can add Will .503 m, multiplication, 10.60 m multiplication, 9.5 m. Which one simplification? I get the volume I. But in my application and to the about to meet you the significant figure. Individuality of mathematical calculation must be seen to give yellowish significant figure in the even daughter. So we can sit at longest calculation. Our Correent option a option 8 to option a is today and said according to the given values. I hope you understand how I solve this problem.

We're going to be discussing exact numbers in this problem. The first example is a temperature reading for a dorm room. So in this example when we get a temperature reading, we're actually taking this reading from a thermometer. So because this is a quantity that we are actually measuring, this is not an exact number. So no, this is not an exact number. Therefore we have to take significant figures into account when we're using this number in calculations. So let's look at example B. So if we look at example B, we're told we are buying quantity of some food items from the farmers market. So in this case these are exact numbers. The reason is exact numbers are counted numbers. So if we are able to count something and say that we have that many of the item, it's an exact number. So in this case we can count six eggs, so that's going to be an exact number. So if we perform calculations with this number, this is not going to affect the significant figures in our answer. Now let's take a look at C and C were asked whether or not this is an exact number. So in this case this is also an exact number. This is because all conversion factors our exact numbers, so if I were to say for example, 107 m are in one m, that would also be an exact number. So conversion factors do not affect the significant figures in our final answer. Either another example would be 1000 mL equals one leader, etcetera.


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