y = a|bx - c| + d
What type of equation is this?
absolute value
y = Ax2 + Bx + C
What type of equation is this?
Quadratic
Write with no negative exponents:
(x2)3x-4
3/x2
Give two forms of linear equations and name them
y = mx + b (Slope-Intercept Form)
y-y1 = m(x-x1) (Point-Slope Form)
a(x - h)2 + k is the _________ form of a quadratic equation.
vertex
y = 6x - 4
Name two quadrilaterals that are not parallelograms
If P(A) = P(A|B), A and B are _________.
independent
Is P(Ace|Heart) independent or disjoint? Explain your answer using math.
Independent;
P(Ace|Heart) = 1/13
P(Ace) = 4/52 = 1/13
P(Ace) = P(Ace|Heart) -> Independent
If events A and B never happen at the same time, they are ___________ events.
mutually exclusive
P(A∩B)
P(AUB)
1. How do you say these probabilities?
2. If we assume A and B are independent, what is the formula for each?
P(A∩B): "Probability of A intersect B"
=P(A) * P(B)
P(AUB): "Probability of A union B"
=P(A) + P(B) - P(A)*P(B)
Solve:
3x2 - 10x - 4 = 0
x = 5/3 +/- sqrt(37)/3
disjoint
Explain the distinction between: Integers, Whole Numbers, Natural Numbers, Rational Numbers, and Irrational Numbers.
Natural: 1, 2, 3...
Whole: 0, 1, 2...
Integer: ...-2, -1, 0, 1, 2...
Rational: integer/integer
Irrational: Pi, sqrt(2), etc.
Board: Kd 7d 2d Ac
Villain's range: 54dd+, AXdd, 2 diamonds T+, AdXo
If pot is 0, what is our EV of calling a 100 bet (assume no more bets will be made)
54dd+: 54, 65, 98, T9 (4 combos)
AXdd: (9 combos)
2 T+dd: KQ, KJ, KT, QJ, QT, JT (6 combos)
AdXo: 11 spades, 12 clubs, 12 hearts (35 combos)
[100[10(4/46 - 42/46) + 9(3/46 - 43/46) + 35(37/46 - 9/46)]] / 54 = ~7.13