(Fun)ctions
Statistics and Combinatorics
Pure Logic
100

Wowzers(Zoo-Wee-Mama) = 2(Zoo-Wee-Mama)2 + 9(Zoo-Wee-Mama)+9

Find the values of Zoo-Wee-Mama such that Wowzers(Zoo-Wee-Mama) = 0

Zoo-Wee-Mama = -3, -3/2

100

What is 1 + 2 + 3 + 4 + ... +100?

5050

100

If p then q. q is not true. Is p true?

No

200

Find the range of 1/(1+sin(x))

Hint: sin(x) is a ratio a/b where a is less than or equal to b and both a and b are real numbers.

[0.5, infinity)

200

Data set A has average m+13; data set B has average m+21; data set B has average m+4.

What is the average of sets A, B, and C, in terms of m?


m+38/3

200

A: B is false

B: C is false

C: Both A and B are the same truth value

Which of these statements are true?

B is true, A and C are false

300

Find the slope of y-3 = (x+(70)0.5)(x-(70)0.5) at y = -67

The slope is 0 

300

There are 5 distinct cards arranged horizontally. If 2 cards must go on the edges, how many possible arrangements of the cards can there be?

120 arrangements

300

Give an explanation as to why it is impossible to have a set that contains all sets that do not contain themselves.

Something like: If the set contained itself, then it could not be in the set that contains all sets that do not contain themselves. If it didn't contain itself, then it would be in the set that contains all sets that contain themselves. 

400

f(x) = g(x)/2; g(x) = 4x + 6

Find g(f(x))

g(f(x)) = 8x + 18

400

how many ways can you fit 5 people around a table where 2 people won't sit next to eachother?

 12 ways

400

There are three statements:

A: Exactly one of these statements is true

B: C is false

C: A is true

Which of these statements are true? (hint: trick question?)

It is a paradox

500

f(x) = g(x)/2 + 3

g(x) = f(x)/5 + 4

Find f(g(x))

f(g(x)) = 50/9

500

If you flip a coin 10 times, what is the probability that you get exactly 4 heads?

210/1024

500
  • X contains a gold coin if and only if Y contains a gold coin.

  • Y contains a gold coin if and only if Z contains a silver coin.

  • Z contains a silver coin if and only if X contains a silver coin.

What color are the coins in each box?


The coins are all silver.

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