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853. eann has 23 IW one 1 M (Figure 4Figure1 Feedback Submit L 1 Again; 11 Part B Find the directon L Correct Hlntie) 8 anale 8 1...

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853. eann has 23 IW one 1 M (Figure 4Figure1 Feedback Submit L 1 Again; 11 Part B Find the directon L Correct Hlntie) 8 anale 8 1

853. eann has 23 IW one 1 M (Figure 4 Figure 1 Feedback Submit L 1 Again; 1 1 Part B Find the directon L Correct Hlntie) 8 anale 8 1



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Answer the following questions in reference to the above figure. Fraction of the total octahedral voids occupied will be (a) $\frac{1}{2}$ (b) $\frac{1}{4}$ (c) $\frac{1}{8}$ (d) $\frac{1}{6}$

This problem for right here we want to find the values um and the accompanying figure. So we want to find excellent next to, so knowing that Y equals one over X. And that our X. one yeah X one is corresponding to AY equals 1 -0.1. All we need to do is take one divided by 1 -0.1. And that means that 1.1 repeating is our X not And then Rx one is going to be 0.9 approx. Um So based on this we now want to find our delta value. So the way that we can do this is by Um considering the gap that they have. So the one uh there's a gap of .01 on both sides. That means our delta is 0.09.

In this problem. We're wondering about the length that I'm highlighting in red in order to solve this. Let's set up a proportion. The proportion of 4.4 over 6.3 equals ex My unknown over 3.2. This is because we know these put these positions are similar. Now it's solved well, since I have a proportion, I can use cross products. So I have 4.4 times 3.2 equals 6.3 x 4.4 times 3.2 is 14 point. Oh, wait. Do you have 14.8 equals six and 3/10 x going to get X alone. We're gonna divide both sides by 6.3. When I do this, X will be isolated on one side when we multi When we divide 14 point away by 6.3, we get 2.23 with some extra numbers. So it's about X. However, it's asking it to the nearest 10th. Well, the nearest 10th would be 2.2. So let's compare this to answer choices. A has an answer of 2.2. So your answer for this problem is a

Hi, everybody. This is section 8.1. We're up to number 42 on their giving information on two figures A and B and then tells us that figure A has an area of 18 square feeds, while figure B is gonna have an area of 98 square feet. It also tells us that figure be one of the sides like this 14 feet and for figure A the side length again, we don't now, so we're going to pull it well. The ratio of areas is equal to the scale factor. So first, let's find the ratio of the areas the ratio of the areas will pay. Let's just do the smaller one over the larger one or figure a over figure B. We get 18 over 98. If we reduce that divided by two, we get nine over 49. So that's the ratio of the area. How do we find the scale factor? Well, we have to square root it. Since the ratio of the areas is a scale factor squared. We're gonna take the nine over 49 square root the numerator we get three square the denominator, we get seven. So our scale factor is three over seven, so that should equal the ratio of the sides. So the smaller figure a over figure B so that should equal X over 14 on. We can cross, multiply and divide, or just see that seven times two is 14 and three times too will be six and we end up with six feet. Is that missing side length?

Okay. So first with this the data it's 80 78 84 73 84. And this problem, the sample size is one. So actually the sample mean is the sample and it's also the data itself. So we have four samples and the main value of this sample is just itself. And now we're going to calculated average of dissemble mean, So these are the sample mean? And we want to calculate the sample mean. So it's gonna be so we have five of them and we just some some of those values. Yeah, because the number is not large. We can just write them down every use the calculator, we can get the result is 79.8. Yeah, so this one is it's not that convenient because we need to list all of the possible sample means and take the average of them. We have easier way which is directly using the formula. That average of the sample mean is excluded is equal to the average of the population mean, so this one get 79.8. Well then this is good. Um We can get the same answer but doing far less things.


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