Probably Counting
This is the chance you (uniform randomly) select an even divisor of 2026, whose prime factorization is
2026 = 2 \cdot 1013.
What is
\frac{1}{2}?
The numerical value of:
-e^(ipi).
What is 1?
This is the number of primes less than 40.
What is
12?
This is the derivative of
\ln(2026x).
What is
1/x?
This British mathematician made fundamental contributions to the development of Computer Science.
Who was Alan Turning?
In the worst case, this is the number of attempts you need to guess my 4-digit passcode that uses only 3, 5, and 9 (each used at least once).
What is 36?
The numerical value of:
8÷4(2+2)! \ .
What is 48?
This is the difference between the fourth and eighth smallest prime numbers.
What is
12?
Given that
\frac{d^4}{dx^4} ( ∛x^5 ) = m \cdot x^n,
this is the value of n.
What is
-7/3?
This American mathematician made significant contributions to game theory.
Who was John Forbes Nash Jr.?
This is the WCU faculty member whose 2011 thesis is "A visual analytics approach to feature discovery and subspace exploration in protein flexibility matrices".
Who is Dr. Scott Barlowe.
The numerical value of:
sin^2x+cos^2x+sec^2x-tan^2x
What is 2?
This is the probability that the sum of the digits of a 2-digit prime less than 50 is even.
What is
1/3?
Let f, g, and h be distinct nonconstant functions. This is the coefficient of
f'g'h' \text{ in } (fgh)'' \ .
What is
0?
This Indian mathematician made substantial contributions to number theory.
Who was Srinivasa Ramanujan?
The numerical value of:
\text{det}([[1,1],[2,1]] \cdot [[0,2],[1,0]]).
What is
2?
This is the number of primes less than 40 that can be written as the sum of two lesser primes.
What is
5?
This is the 50th derivative of
cos(2x).
What is
-2^(50)cos(2x)
This American mathematician calculated the trajectory for Alan Shepard to return to Earth.
Who was Katherine Johnson?
The numerical value of:
lim_(h to 0) ((2+h)^3-8+2(2+h)^2-8)/h
What is 20?
This is the number of 2-digit primes less than 50 that, when you reverse the digits, they are also prime.
What is
5?
This is the 1000th derivative of
xe^(x).
What is
(x+1000)e^x?