How Family Income Predicts Children's College Chances 100 SSO 70 60 50 4O 30 20 10 20th 60th 7oth 50th Parent's Income Percentile 1st 10th 30th 40th 80th 90th 10Oth
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.
Hello, Please help me navigate this because I don't even know how to
start answering these questions based on the graph attached. Thanks
1.) Estimate the equation of the line.
2.) Use the slope of the line in a meaningful sentence or two.
3.) What observations can you interpret from the graph?
4.) A recent survey found that in a particular city of all poor children born in 1980, 11,500 enrolled in college, and 1024 graduated from college by age 24. Scale this rate to 100.
5.) From the information in the article, in a town consisting of 2,300 rich students born in 1980, how many would you expect to graduate college by the age of 24? Use the 95th percent income percentile as constituting rich (note: what % of children attend college based upon the parents 95th income percentile). Scale this rate to 100.
6.) From a random sample: Out 1,000 rich kids born in 1980, how many will attend college and how many will graduate from college by the age of 24?
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