MATH 3339 1 COMPREHENSIVE STUDY
GUIDE 2026 FULL QUESTIONS AND
SOLUTIONS GRADED A+
◍ Sample Standard Deviation Formula (Chapter 10, 11,12).
Answer: s=√∑(x - ẍ) ^2 ______________ n-1
◍ Mode (Chapter 10, 11, 12).
Answer: the one that occurs the most
◍ Mean (Chapter 10,11,12).
Answer: ⁻x <--- Symbolis the average, Add the numbers in and divide by
numbers of numbers
◍ Median (Chapter 10,11,12).
Answer: the middle number in the data (in number order) lowest to highest
◍ Probability of an event Formula (Chapter 10,11,12).
Answer: P(E) = n(E) ------ n (s)n (E) is the number of favorable events. Or
the number times an event can occur. n(s) is number of outcomes or total
number of choices
◍ Probability of a coin flip (Chapter 10,11,12).
Answer: HHHHHTHTH = total probability of 8 times THH WILL be used
in a question TTH like this: Determine the TTT probability of flipping
threeTHT coins AND the result is 3 head ANSWER: you should get 1/8
◍ OR means in math equations? (CHAPTER 10,11,12).
Answer: it means ADDING
◍ AND means in math equations? (Chapter 10,11,12).
Answer: it means MULTIPLICATION
◍ Odds in favor formula (Chapter 10,11,12).
, Answer: odds in favor = P (Favorable) --------------- P (Unfavorable)
◍ Odds against formula (Chapter 10,11,12).
Answer: odds against = Unfavorable outcomes : Favorable outcomes
◍ Combination (order doesn't matter) formula (CHAPTER 10,11,12).
Answer: X! ------------- Y!(X-Y)! (X on top then Y on bottom like X/Y BUT
NO DIVISION LINE) C
◍ Permutation Formula (Order Matters) (CHAPTER 10,11,12).
Answer: (X ) P(Y ) *pretend the two parentheses boxes (Y ) Are one big
parenthese* X! _____________ (X-Y)!
◍ Compounded Continuously Formula (Chapter 8 and Chapter 13).
Answer: A= Pe ^rt
◍ Compound at a rate (Chapter 8 and Chapter 13).
Answer: A= P(1+ r/n)^nt
◍ Simple interest formula (Chapter 8 and Chapter 13).
Answer: I= P x r x t
◍ Future Value Formula (Chapter 8 and Chapter 13).
Answer: FV= PV (1+r)²
◍ Annual Percentage rate (APR) Formula (Chapter 8 and Chapter 13).
Answer: APR = 2 x M x F ----------- P x (N + 1)
◍ Mortgage payment formula (Chapter 8 and Chapter 13).
Answer: M = P r(1+r)ⁿ --------- (1+r)ⁿ - ¹
◍ Point Slope equation formula (Chapter 8 and Chapter 13).
Answer: y - y1 = m (x-x1)*Need to use a point in the equation to remember
better*
◍ Slope Formula (Chapter 8 and Chapter 13).
Answer: m = y2 - y1 --------- x2 - x1
◍ Vertex using the formula (Chapter 8 and Chapter 13).
Answer: x = -b ------ 2a
GUIDE 2026 FULL QUESTIONS AND
SOLUTIONS GRADED A+
◍ Sample Standard Deviation Formula (Chapter 10, 11,12).
Answer: s=√∑(x - ẍ) ^2 ______________ n-1
◍ Mode (Chapter 10, 11, 12).
Answer: the one that occurs the most
◍ Mean (Chapter 10,11,12).
Answer: ⁻x <--- Symbolis the average, Add the numbers in and divide by
numbers of numbers
◍ Median (Chapter 10,11,12).
Answer: the middle number in the data (in number order) lowest to highest
◍ Probability of an event Formula (Chapter 10,11,12).
Answer: P(E) = n(E) ------ n (s)n (E) is the number of favorable events. Or
the number times an event can occur. n(s) is number of outcomes or total
number of choices
◍ Probability of a coin flip (Chapter 10,11,12).
Answer: HHHHHTHTH = total probability of 8 times THH WILL be used
in a question TTH like this: Determine the TTT probability of flipping
threeTHT coins AND the result is 3 head ANSWER: you should get 1/8
◍ OR means in math equations? (CHAPTER 10,11,12).
Answer: it means ADDING
◍ AND means in math equations? (Chapter 10,11,12).
Answer: it means MULTIPLICATION
◍ Odds in favor formula (Chapter 10,11,12).
, Answer: odds in favor = P (Favorable) --------------- P (Unfavorable)
◍ Odds against formula (Chapter 10,11,12).
Answer: odds against = Unfavorable outcomes : Favorable outcomes
◍ Combination (order doesn't matter) formula (CHAPTER 10,11,12).
Answer: X! ------------- Y!(X-Y)! (X on top then Y on bottom like X/Y BUT
NO DIVISION LINE) C
◍ Permutation Formula (Order Matters) (CHAPTER 10,11,12).
Answer: (X ) P(Y ) *pretend the two parentheses boxes (Y ) Are one big
parenthese* X! _____________ (X-Y)!
◍ Compounded Continuously Formula (Chapter 8 and Chapter 13).
Answer: A= Pe ^rt
◍ Compound at a rate (Chapter 8 and Chapter 13).
Answer: A= P(1+ r/n)^nt
◍ Simple interest formula (Chapter 8 and Chapter 13).
Answer: I= P x r x t
◍ Future Value Formula (Chapter 8 and Chapter 13).
Answer: FV= PV (1+r)²
◍ Annual Percentage rate (APR) Formula (Chapter 8 and Chapter 13).
Answer: APR = 2 x M x F ----------- P x (N + 1)
◍ Mortgage payment formula (Chapter 8 and Chapter 13).
Answer: M = P r(1+r)ⁿ --------- (1+r)ⁿ - ¹
◍ Point Slope equation formula (Chapter 8 and Chapter 13).
Answer: y - y1 = m (x-x1)*Need to use a point in the equation to remember
better*
◍ Slope Formula (Chapter 8 and Chapter 13).
Answer: m = y2 - y1 --------- x2 - x1
◍ Vertex using the formula (Chapter 8 and Chapter 13).
Answer: x = -b ------ 2a
