Each year, Fortune Magazine publishes an article titled "The International 500" that provides a ranking by sales of the top 500 firms outside the United States. Suppose that you want to examine various characteristics of successful firms. Further suppose that, for your study, you decide to take a simple random sample of 10 firms from Fortune Magazine's list of "The International 500." Use the table linked below to obtain 10 random numbers that you can use to specify your sample. Start at the three-digit number in line number 03 and column numbers 30-32 and read down the columns. After reaching the bottom of those three columns, move to the bottom of the next three columns, read up those columns, and so on. 1 Click the icon to view the table of random numbers. What are the 10 random numbers? (Use 1 Table of random numbers - X Column number 20-29 90346 97869 40525 Line number 00-09 10–19 30-39 40-49 00 11728 65465 03110 69817 76061 68492 66081 26960 40299 46163 01937 17358 56242 01 02 03 13385 81265 88745 31644 62379 28702 26441 94262 67015 20468 18310 90951 71559 08548 08740 83382 85467 08172 56895 07387 46961 06067 96914 41777 11200 04 90646 71724 52235 64439 47788 88364 79714 37949 35868 05 06 07 57350 76979 86867 35969 85543 25373 72582 78594 46497 14114 82515 52381 61464 86819 36960 80953 52327 20664 29676 22675 82195 74626 28363 86831 11713 25052 70799 83838 01116 40284 08 98748 38389 26941 78218 74150 17007 13034 91866 41852 93611 49647 09 20438 04071 30277 54213 74269 34949 44715 11355 88555
Family of Curves
A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.
XZ Plane
In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.
Euclidean Geometry
Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.
Lines and Angles
In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.
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