2) The probability that you pass your Art class alone this semester is 78%. The probability that you will pass your Biology class alone this semester is 56%. a) Given that you passed your Art class, the probability that you will pass your Biology class is 63%. Is passing your Biology class dependent or independent of your Art class? Explain your answer. b) Given that you passed your Biology class, the probability that you will pass your Biology class is 78%. Is passing your Art class dependent or independent of your Biology class? Explain your answer.
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.
I need some explanation on 2 A and B.
![2) The probability that you pass your Art class alone this semester is 78%. The
probability that you will pass your Biology class alone this semester is 56%.
a) Given that you passed your Art class, the probability that you will pass your Biology
class is 63%. Is passing your Biology class dependent or independent of your Art
class? Explain your answer.
b) Given that you passed your Biology class, the probability that you will pass your
Biology class is 78%. Is passing your Art class dependent or independent of your
Biology class? Explain your answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4ed273bd-5894-42a8-997f-a647a11c14dc%2F001508fc-3339-4b49-b60f-f0b7ecf42bc0%2F3y027h8.png&w=3840&q=75)
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