Derivatives
Logic
Probability
History
Random
100
d/dx (sin(x))
What is cos(x)
100
This logic statement is only true in one instance, when both the predicate and the subject are true.
What is an “and” statement?
100
Equivalent to P[A] + P[B] – P[A∩B]
What is the Union, or P[A or B]
100
Famous for right triangle side triples.
Who is Pythagorean
100
The total distance around a polygon
What is perimeter
200
d/dx (sin^(-1)⁡x )
What is 1/√(1-x^2 )
200
This law can be described by ~(PVQ) --> ~P ^ ~Q.
What is DeMorgan's Law
200
Seven girls and five boys volunteer to represent their class at a school assembly. The teacher selects one name and then another from a bag containing the twelve students’ names. This is the probability of 2 girls.
What is 7/22
200
The 4 categories of mathematics (according to Pythagoreans)?
What is geometry, arithmetic, music, astronomy
200
The area of a square rug with perimeter 56 ft
What is 196 ft^2
300
d/dt (x^4 cosx )
What is 0 (derivative is with respect to t, not x)
300
This is the contrapositive of this statement: “If I am not tired, then I slept.”
What is “If I did not sleep, then I am tired?”
300
In a class of 18 students, they can elect a president, vice president, treasurer, and secretary this many ways.
What is 73,440
300
This famous Greek writer (whose famous work we read in Humanities) focused his work and school on the study of mathematics
Who is Plato
300
The number of cubic millimeters in a cubic meter
What is 10^9
400
What is the 90th derivative of y=cos⁡x ?
What is -cos (x)
400
These two statements are logically equivalent: (A) Conditional and disjunction (B) conjunction and disjunction (C) conditional and contrapositive (D) Converse and biconditional
What is C
400
In a survey of 94 students, 60 took English, 56 took Math, 42 took Chemistry, 34 took English and Math, 20 took Math and Chemistry, 16 took English and Chemistry, and 6 took all three. Of those who took math, this is the proportion who took neither English nor Chemistry.
What is 1/7
400
The three famous mathematicians whose names begin with "Eu"?
Who are Eudoxus, Euclid, Euler
400
The number 69 in binary
What is 1000101
500
d/dx ∫te^t dt from 3 to x
What is xe^x (fundamental thm of calculus)
500
This fourth-century philosopher developed the more important contributions to the field of philosophical logic.
Who is Plato
500
A multiple choice test contains 20 questions. Each question has five choices for the correct answer. Only on of the choices is correct. This is the probability of getting an 80 with random guessing.
What is P(x=16)= (20C16)(.2^16)(.8^4)=.000000013
500
This famous Greek biologist actually contributed the form of logic used unanimously after his time
Who is Aristotle
500
The first number greater than 1,000,000,000 that is divisible by 9
What is 1,000,000,008
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