General Math Flashcards
The number that is subtracted in subtraction.
subtrahend
If all of the terms of an equation have even exponents of if all of the terms have odd exponents, the curve is symmetric with respect to the:
origin
Every bounded infinite set has at least one limit point. This is known as ______.
Weierstrass-Bolzano Theorem
If the equation is unchanged by the substitution of –x for x an –y for y simultaneously, its curve is symmetric with respect to the:
origin
Which of the following statements is true for a power series with the general term a_i x^i? Underscore represents subscript.
I. An infinite power series converges for x < 1.
II. Power series can be added together or subtracted within their interval of convergence.
III. Power series can be integrated within their interval of convergence.
II and III
Which type of transformation can change the size of an object?
Dilation
Two planes intersect each other. What is the term for the angle formed perpendicular to the intersection of two planes?
Dihedral angle
Any angle greater than a straight angle but less than two straight angles is known as ______ angle.
reflex
Data about qualitative variables can be summarized by:
proportions
Which of the following statements is true?
The sum of the deviations from the mean is always zero.
A normal to a given plane is _______.
perpendicular to the plane
In probability, what term is used if the probability is 0.10 or less?
Unlikely
What refers to the proportion of times that the event occurs in the simulated repetitions of the random process?
Empirical estimate of probability
To solve for an unknown in an equation, you must always _____.
isolate it on one side.
Which of the following is an example of the Associative Property of Multiplication?
a(bc) = (ab)c
The statement x + y = y + x is an example of what number property?
Commutative Property of Addition
Which of the following statements best describes the vertex of an angle?
The point where the two rays of an angle meet.
Two events are called ________ if they are disjoint and between them contain all possible outcomes of the probability experiment.
complementary
Two events are said to be _______ if they have no outcomes in common.
disjoint
What is defined as an artificial representation of a random process used to study the process’s long-term properties?
Simulation
What is defined as the likelihood that a particular event will occur?
Probability
In probability, what term is used if the probability is 0.05 or less?
Rare
What refers to the listing of possible values of a numerical random process, along with the probabilities for those values?
Probability distribution
What refers to the listing of all possible outcomes?
Sample space
An isolated singularity that is not a pole or removable singularity is called a/an ______.
essential singularity
Which of the following represents a disadvantage of using the sample range to measure spread or dispersion?
The largest or smallest observation (or both) may be an outlier.
Describe the locus represented by Im(z²).
Hyperbola
For a given function, f(t) = f(-t). What type of symmetry does f(t) have?
Even symmetry
Two events are said to be _______ if they have outcomes in common.
non-disjoint
Two events are called _______ if the probability of the occurrence of one event is the same regardless of whether or not the other event occurs.
independent
The larger the sample size, the closer the sample proportions are, on average to the population proportion. This is known as:
Effects of sample size on tests
P(A and B) = P(A)P(B|A). Where P(B|A) means the probability of A happening given that B has already occurred. This is an example of:
Dependent events
What is defined as the long-run average value achieved by a numerical random process?
Expected value
The ratio of the number of equally likely outcomes in an event to the total number of possible outcomes. (probability before you conduct the experiment/activity) is called _______.
theoretical probability
Probability that is based on repeated trials of an experiment. (probability after you conduct the experiment) is called _______.
experimental probability
The proportion of times that an event occurs is the ______ of the event E.
sample relative frequency
Main Street and Broadway are parallel to each other; First Avenue and Second Avenue are also parallel to one another and, in addition, are both perpendicular to Main and Broadway. North Boulevard transverses Main Street. What other street(s) Should North Boulevard cross if it continues throughout the entire city?
Broadway
An outcome or set of outcomes of an experiment or situation is called ______.
an event
A statement of the truth of which is admitted without proof is called ______.
an axiom
The graphical representation of the cumulative frequency distribution in a set of statistical data is called ______.
ogive
The rectangular coordinate system in space is divided into eight compartments, which are known as _______.
octants
“Every bounded infinite set has at least one limit point.” This is known as:
Weierstrass-Bolzano Theorem
