The number and frequency of a certain ocean's hurricanes annually from 1940 through 2015 is shown below This means, for instance, that no hurricanes occurred during 5 of these years, only one hurmicane occurred in 14 of these years, and so on Complete parts a through c below Number 0 12 3 4 5 6 8 11 12 0 Frequency 5 14 20 16 3 5 5 3 21 1 a. Find the probabilities of 0-12 hurricanes each season using these data Number 1 3 4. 7 8 11 12 5. 20 16 3 2. Frequency Probability 067 187 14 267 213 040 067 067 040 0 027 013 013 (Type integers or decimals rounded to three decimal places as needed) b. Find the mean number of hurricanes mean = (Type an integer or decimal rounded to three decimal places as needed.)
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.
11b) solve B (see picture)
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