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100

In how many different ways can five students be seated in three chairs?

60. 5x4x3=60


100

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.

100

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

100

Who gave the earliest known formula for the area of a circle?

The Egyptians

100

Why did the student wear glasses during math class?

It improved di-vision.

200

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.

200

How does a Voltmeter read a potential?

Suring the difference between the positive input of voltage and the negative input of voltage

200

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.

200

What were Newton's original interests that led him to create calculus?

Optics and physics

200

What do you call two friends who love math?

Alge-bros
300

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.

300

What was Carnot's contribution to thermal physics?

Heat engine

300

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. 

300

The use of Arabic Numerals was invented in what country?

India

300

What is a math teacher's favorite kind of tree?

Geome-tree
400

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.

400

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

400

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.

400

What does the Ancient Greek term calculus mean?

Pebbles

400

What happened to the mathematician who could not afford lunch?

They could binomials.
500

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

500

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

500

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.

500

Who popularized the statement, "Cogito, ergo sum."

Rene Descartes

500
What did the triangle say to the circle?

You're pointless.