A carton of a dozen eggs contains eight brown eggs. The rest are white. What is the probability that an egg selected at random is white?
$100 Answer Probability
4 112 3
$200 Question from Probability
A coin is tossed and a 6-sided die is rolled. What is P(a head and a number less that 3)?
$200 Answer from Probability
1 2 12 6 6
$300 Question from Probability
Two events, A and B, are independent if and only if what is true?
$300 Answer Probability
and are independent
iff P and P P .
A B
A B A B
$400 Question from Probability
What is the probability that a randomly selected student plays violin? Hint: tree diagram time!
$400 Answer from Probability
$500 Question from Probability
In a class of 40, 34 like bananas, 22 like pineapples and 2 dislike both fruits. If a student is randomly selected what is the
P(likes bananas|likes pineapples)?
Hint: Venn diagram.
$500 Answer from Probability
$100 Question from Calculus
3f x x
Find .dfdx
$100 Answer from Calculus
4
3dfdx x
$200 Question from Calculus
Find the slope of the tangent line to the given curve when a = 1.
22g a a a
$200 Answer from Calculus
4 1
1 4 1 1 5
g a a
g
$300 Question from Calculus
Find the equation of the tangent line to the given curve at the point (-1, -1).
23 2y x x
$300 Answer from Calculus
3 4
1 1
1 1 2
tangent line at -1,-1 :
2
y x
x y
y x b
b b
y x
$400 Question from Calculus
At what value of x does the quadratic function, , have a stationary point? Under what condition is the stationary point a local maximum or a local minimum.
2 , 0f x ax bx c a
$400 Answer from Calculus
20 maximum
0 minimum
ba
a
a
Do you recognize the x-value of the vertex (i.e. axis of symmetry)?
$500 Question from Calculus
$500 Answer from Calculus
$100 Question from Functions
$100 Answer from Functions
$200 Question from Functions
$200 Answer from Functions
207 meters
$300 Question from Functions
2 1f x x State the domain and range of the function.
$300 Answer from Functions
domain: all real numbers
range: 1f x
$400 Question from Functions
$400 Answer from Functions
3603 minutes
120
$500 Question from Functions
$500 Answer from Functions
$100 Question from Potpourri
How many significant digits?
4.8 x 105
$100 Answer from Potpourri
$200 Question from Potpourri
Find the sum of the first 20 terms in the arithmetic series.
3 7 11 15 ...
$200 Answer from Potpourri
820
$300 Question from Potpourri
Negate the statement without using the word ‘not.’
The math class includes more that 10 boys.
$300 Answer from Potpourri
The math class includes at most 10 boys.
$400 Question from Potpourri
Are the following logically equivalent?
Justify your answer with truth tables.
p qq p
$400 Answer from Potpourri
p qT T T F F T
T F F F T F
F T T T F T
F F T T T T
p q p q q p
$500 Question from Potpourri
$500 Answer from Potpourri
Final Jeopardy
Represent the following sets using a Venn diagram: