Overweight 102 198 91 25 About right 49 126 213 159 Underweight 6 3 11 31 (a) Is how often a person worries about their weight independent of how they describe their own personal weight situation? (b) Based on this conclusion, does a person’s personal weight situation affect how often they worry about their weight?
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.
In a recent Gallup poll, a random sample of 1014 adults nationwide were asked “How often do you worry about your weight?” and “How would you describe your own personal weight situation?”. The poll results are presented in the table below.
| How many do you worry about your weight? |
| All of the time | Some of the time | Not too often | Never | ||
| How would you describe your own personal weight situation? | Overweight | 102 | 198 | 91 | 25 |
| About right | 49 | 126 | 213 | 159 | |
| Underweight | 6 | 3 | 11 | 31 |
(a) Is how often a person worries about their weight independent of how they describe their own
personal weight situation?
(b) Based on this conclusion, does a person’s personal weight situation affect how often they
worry about their weight?
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