In how many different ways can five students be seated in three chairs?
60. 5x4x3=60
What is the zeroth law of thermodynamics?
If two thermodynamic systems are in thermal equilibrium with each other, and also separately in thermal equilibrium with a third system, then the three systems are in thermal equilibrium with each other.
What is the central limit theorem?
The central limit theorem states that if you have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement , then the distribution of the sample means will be approximately normally distributed
Who gave the earliest known formula for the area of a circle?
The Egyptians
Why did the student wear glasses during math class?
It improved di-vision.
The cost of admission to an event is $5.00 plus one half of its price. How much does the event cost?
$10.00 Because $5 + 0.5($10) = $10.
How does a Voltmeter read a potential?
Suring the difference between the positive input of voltage and the negative input of voltage
What is the mean value theorem?
the mean value theorem (or Lagrange theorem) states, roughly, that for a given planar arc between two endpoints, there is at least one point at which the tangent to the arc is parallel to the secant through its endpoints.
What were Newton's original interests that led him to create calculus?
Optics and physics
What do you call two friends who love math?
Three fair coins are tossed at the same time. What is the probability that all three coins will come up heads OR all will come up tails?
1/4. 1/8 (all heads) + 1/8 (all tails) = 1/4.
What was Carnot's contribution to thermal physics?
Heat engine
What is the Fundamental Theorem of Arithmetic?
This theorem states that every integer greater than 1 can be represented uniquely as a product of prime numbers, up to the order of the factors.
The use of Arabic Numerals was invented in what country?
India
What is a math teacher's favorite kind of tree?
Five students, all of different heights, are randomly arranged in a line. What is the probability that the tallest student will be first in line and the shortest student will be last in line?
1/20. 1x3x2x1x1=6, 6 ways in which students can be arranged under given conditions. Under no conditions, the ways are 5x4x3x2x1=120. 6/120=1/20.
Name 3 scientists that contributed to the Manhattan Project?
Oppenheimer
Szilard
Bethe
Fuchs
Feynman
Fermi
Lawrence
Seaborg
Wilkins Jr.
Hornig
Woods
Reed
Serber
Rotblat
Lawrence
Bradbury
Wu
Urey
Frisch
What is Fermat's Last Theorem?
This theorem states that no three positive integers a, b, and c satisfy the equation a^n + b^n = c^n for any integer value of n greater than 2.
What does the Ancient Greek term calculus mean?
Pebbles
What happened to the mathematician who could not afford lunch?
x, y, 22, 14, 10... In this sequence, each term after the first term x is obtained by halving the term that comes before it and then adding 3 to that number. What is the value of x-y?
32. x=70, y=38. 70-38=32
Name Kirchoff's Laws
In any closed loop network, the total voltage around the loop is equal to the sum of all the voltage drops within the same loop
What is Ceva's Theorem?
Ceva's Theorem expresses that in a triangle ABC, the lines from A, B, and C to the opposite sides of the triangle are simultaneous exactly when the product of the proportions of the sets of the pairs of segments on each side of the triangle is equivalent to 1.
Who popularized the statement, "Cogito, ergo sum."
Rene Descartes
You're pointless.