A scientist believes that the length of a newly discovered species of fish can be assumed to follow a normal distribution with a mean of 16.3 inches. If their belief is correct, which of the following length ranges will have the largest proportion of this species of fish? Select one: O a. 19.3 to 21.3 inches O b. It is impossible to say without the standard deviation. Oc. 17.3 to 19.3 inches O d. 15.3 to 17.3 inches O e. 13.3 to 15.3 inches
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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![A scientist believes that the length of a newly discovered species of fish can be assumed to follow a
normal distribution with a mean of 16.3 inches. If their belief is correct, which of the following length
ranges will have the largest proportion of this species of fish?
Select one:
O a. 19.3 to 21.3 inches
Ob. It is impossible to say without the standard deviation.
O c. 17.3 to 19.3 inches
O d. 15.3 to 17.3 inches
Oe. 13.3 to 15.3 inches
Adult Great Basin rattlesnakes have a mean length of 32.9 inches and a standard deviation of 7.1
inches; the length of adult Southern Pacific rattlesnakes is also 32.9 inches on average, but with a
standard deviation of 10.65 inches. Both species have lengths that follow a normal distribution.
You randomly select one Great Basin rattlesnake and one Southern Pacific rattlesnake. Which is more
likely be longer than 36.45 inches?
Select one:
O a. Not enough information is provided; it depends.
Ob. The Southern Pacific rattlesnake.
Oc. Both are equally likely to be more than 36.4 inches long
O d. The Great Basin rattlesnake.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffa731f89-71e6-4343-893d-5e6283c6b2ea%2F7ddba6c8-2eda-45e9-9187-983b14e62110%2F3nqrdef_processed.png&w=3840&q=75)
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