Jeopardy Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Trigonometry Permutations Combinations ProbabilityStatistics Sequence and Series

$100 Question from Trigonometry State the ratio for the tangent function

$100 Answer from Trigonometry Opposite Adjacent

$200 Question from Trigonometry 4 x° 5 3 Given the following triangle, state the ratio for the tangent of x.

$200 Answer from Trigonometry tan x = 4/3

$300 Question from Trigonometry Solve for the missing side. x 26° 13

$300 Answer from Trigonometry x= 5.7

$400 Question from Trigonometry Solve for the missing angle. 5 x° 13

$400 Answer from Trigonometry x = 67.3°

$500 Question from Trigonometry You are standing 25’ from the base of Solanco High School and looking up at the roof at a 70° angle of elevation. How tall is the building?

$500 Answer from Trigonometry Solanco High School is 68.7 feet tall.

$100 Question from Permutations and Combinations Does order matter in permutations or combinations?

$100 Answer from Permutations and Combinations Order matters in permutations.

$200 Question from Permutations and Combinations At lunch you have a choice of 3 hot meals, 4 drinks and 2 desserts. How many possible combinations of lunch choices are there?

$200 Answer from Permutations and Combinations There are 24 possible lunch choices.

$300 Question from Permutations and Combinations How many permutations are there from the letters TRIGONOMETRY?

$300 Answer from Permutations and Combinations 59,875,200

$400 Question from Permutations and Combinations In how many ways can 4 bikes be chosen from a group of 10 bikes?

$400 Answer from Permutations and Combinations 210 ways

$500 Question from Permutations and Combinations How many 6 digit codes can be made if the first 2 must be numbers and the others must be letters?

$500 Answer from Permutations and Combinations 45,697,600

$100 Question from Probability Find the probability of rolling a 5 on a die.

$100 Answer from Probability 1/6

$200 Question from Probability Find the probability of rolling a 4 or a 6 on a die.

$200 Answer from Probability 2/6 or 1/3

$300 Question from Probability A bag contains 10 purple marbles, 5 green marbles and 8 blue marbles. What is the probability that the marbles are selected in this order if the marbles are replaced each time: purple, green, blue?

$300 Answer from Probability 10/23 x 5/23 x 8/23 = 400/12,167 = or 3.3%

$400 Question from Probability Find the probability of rolling an even number on the first roll of a die and a 4 on the second roll.

$400 Answer from Probability 3/6 x 1/6 = 3/36 or 1/12

$500 Question from Probability Given a deck of 52 cards, find the probability of drawing an ace then a red card (a) first if the cards are replaced and (b) if the cards are not replaced.

$500 Answer from Probability a) With replacement 52/2704 = 1.9% b) Without replacement 48/2652 = 1.8%

$100 Question from Statistics Given the following data, calculate the mean, median and mode: 6, 8, 9, 9, 10, 12, 12, 16

$100 Answer from Statistics Mean = Median = 9.5 Mode = 9, 12

$200 Question from Statistics Given the following data create a stem and leaf plot 8, 10, 14, 16, 18, 20, 26, 28, 32, 38

$200 Answer from Statistics Stem Leaf

$300 Question from Statistics Using the data below, create a Box and Whisker plot. 1, 1, 2, 3, 6, 8, 8, 9, 10

$300 Answer from Statistics

$400 Question from Statistics What % of scores fall within 1 standard deviation from the mean?

$400 Answer from Statistics 68% of the data fall within 1 standard deviation from the mean

$500 Question from Statistics Draw a box and whisker plot 2, 4, 4, 6, 8, 10, 11

$500 Answer from Statistics

$100 Question from Sequences and Series Find the first 4 terms of the following sequence: a n = 6n + 2

$100 Answer from Sequences and Series 8, 14, 20, 26

$200 Question from Sequences and Series First the first 4 terms in the recursive sequence. a 1 = -2 a n = 4a n-1

$200 Answer from Sequences and Series -2, -8, -32, -128

$300 Question from Sequences and Series In the arithmetic sequence, identify the first term and the common difference. 2, 4, 6, 8…

$300 Answer from Sequences and Series a 1 = 2 Common difference = 2

$400 Question from Sequences and Series Find the sum of the first 10 terms in the arithmetic sequence 5, 8, 11, 14…

$400 Answer from Sequences and Series 185

$500 Question from Sequences and Series Calculate

$500 Answer from Sequences and Series 35

Final Jeopardy Who is your favorite math teacher???

Final Jeopardy Answer Mrs. Richardson (of course). If you answered any other teacher, deduct 1000 points!