Memory (RAM) usage in 64-bit After Effects
Learn the advantages of a 64-bit After Effects application, including longer RAM previews and the ability to render larger frames. See how to allocate memory to After Effects and other applications for optimum performance.
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The USA workforce data in Table 2 were usefully summarised in Figure 6,
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The data in Table 3 are the birth weights (in kg) of 50 infants suffering from severe idiopathic respiratory distress syndrome. There are two groups of infants: those who survived the condition (there were 23 of these) and those who, unfortunately, did not. The data have not been sor
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In this section you have met some real data sets and briefly considered some of the questions you might ask of them. They will be referred to and investigated in the remaining sections of this course. Some general principles that govern the efficacy and quality of data summaries and displays will be formulated. As you will discover, the main requirements of any good statistical summary/display are that it is informative, easy to construct, visually appealing and readily assimilated by a non-e
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The final data set in this section is different from the others in that the data are not numerical. So far you have only seen numerical data in the form of measurements or counts. However, there is no reason why data should not be verbal or textual. Table 7 contains clinical data fro
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When calculating an answer it is important that you give careful consideration to the order of operations used in the calculation. If you are using a mixture of operations remember that certain operations take priority in a calculation. Consider the following, apparently, simple sum.

Â Â Â 1 + 2 Ã— 3 = ?

Did you give 7 as your response, or 9?

The correct answer is 7 but can you explain why?

If you have a calculator handy, check that it
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## Activity 19

In a supermarket the bill comes to Â£8.70, and you have discount coupons worth Â£3.50. The assistant says â€˜that will be Â£12.20 pleaseâ€™. Is she right?

Once you have done a calculation, with or without the aid of a calculator, it is important that you pause for a moment to check your calculation.

You need to ask yourself some questions.

1. Have I done the right calculation in the right order?

2. Have I given due consideration to units of measurement?

4. Did I make a rough estimate to act as a check?

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You will probably think to yourself that the coat shown costs about Â£300. Â£290 is considerably closer to Â£300 than it is to Â£200, so Â£300 is a reasonable approximation. In this case, 290 has been rounded up to 300. Similarly, 208 would be rounded down to 200 because it is closer to 200 than it is to 300. Both numbers have been rounded to the nearest hundred pounds.

When rounding to the nearest hundred, anything below fifty rounds down. So 248 rounds to 200. Anything o
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## Exercise 51

Evaluate the following sums and products in modular arithmetic.

• (a)Â Â 21 +26 15, Â Â Â Â 21 Ã—26 15.

• (b)Â Â 19 +33 14, Â Â
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The Division Algorithm tells us that all the possible remainders on division by an integer n lie in the set

We denote this set by Author(s): The Open University

The content acknowledged below is Proprietary (see terms and conditions) and is used under licence.

Course image: Stuart Rankin in Flickr made available under Creative Commons Attribution-NonCommercial 2.0 Licence.

All materials included in this course are
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## Question 1

Find the volumes of these objects.

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An important idea when calculating volumes of simple shapes is that of a cross-section. In the case of the rectangular box considered above, it is possible to slice through the box horizontally so that the sliced area is exactly the same as the area of the base or top; in other words, the areas of the horizontal cross-sections are equal.

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What is a volume? The word usually refers to the amount of three-dimensional space that an object occupies. It is commonly measured in cubic centimetres (cm3) or cubic metres (m3).

A closely related idea is capacity; this is used to specify the volume of liquid or gas that a container can actually hold. You might refer to the volume of a brick and the capacity of a jug â€“ but not vice versa. Note that a container with a particular volume will not nec
Author(s): The Open University

## Question 1

Find the area of a circle of (a) radius 8 cm, and (b) radius 15 m.