Trig Table Toolkit (Reference) PDF

 attached above jornada attached above are a Ryan has a pet rat Romeo that he boasts is the smartest rat in the county. Sammy overheard Ryan at the county fair claiming that Romeo could learn to run a particular maze and nd the cheese at the end. “I don’t think Romeo is that smart!” Sammy...

 attached above jornada attached above are a Ryan has a pet rat Romeo that he boasts is the smartest rat in the county. Sammy overheard Ryan at the county fair claiming that Romeo could learn to run a particular maze and nd the cheese at the end. “I don’t think Romeo is that smart!” Sammy declares, “I think the rat just chooses a random path through the maze.” Maze Probability Problem Janine’s teacher has presented her with an opportunity to raise her grade: She can roll a die and possibly gain points. If a positive number is rolled, Janine gains the number of points indicated on the die. However, if a negative roll occurs, then Janine loses that many points. I Complex Tree Diagram Problems AP Statistics - Tree Diagrams 1. A university professor fails 20% of his students in the final. After the final, he polls the students and asks how many of them studied more than 3 hours for it. Of those who passed the final, 72% said that they studied for it. Of those who failed the final, 31% said they studied for it. Make a tree diagram for this problem and then answer the following questions. Find the probability that a) a student studies b) a student doesn’t study c) if a student studies, he passes d) if a student studies, he fails e) if a student doesn’t study, he fails f) if a student doesn‘t study, he passes 2. It is estimated that 4% of people who spend time in the woods will get Lyme disease. Of people with Lyme disease, the test to determine if you have it is will. giive a positive reading 97% of the time. Of people who do not have Lyme disease, the same test will give a negative rating 92% of the time. Make a tree diagram for this problem and then answer the following questions. Find the probability that a) the a person gets a positive reading b) the a person gets a positive reading c) if the person gets a positive reading, d) if a person gets a positive reading, he has Lyme disease he doesn’t have Lyme disease e) If a person gets a negative reading, f) If a person gets a negative reading, he doesn’t have Lyme disease he has Lyme disease www.MasterMathMentor.com Stu Schwartz More Tree Diagram Problems 2. Natalie has 8 socks in a drawer. 5 of the socks are black. 3 of the socks are white. Natalie takes out a sock at random, writes down its colour and puts it back into the drawer. Then Natalie takes out a second sock, at random, and writes down its colour. (a) Complete the probability tree diagram. (2) (b) Work out the probability that the two socks are the same colour........................... (2) 3. A football team has two matches to play. The probability that the team wins is 0.6. The probability that the team draws is 0.3. (a) Complete the tree diagram. (2) (b) Work out the probability that the team will win both matches........................... (2) 5. Jennifer is playing darts. She throws two darts aiming for a Bullseye. The probability Jennifer hits the Bullseye on her first throw is ¼. The probability she hits the Bullseye on her second throw ⅓. (a) Complete the tree diagram. (b) Work out the probability Jennifer hits the Bullseye at least once........................... (2) 7. Shown is a spinner. The probability of a 1 is 2x. The probability of a 2 is x. The probability of a 3 is 2x. (a) Calculate the value of x........................... (2) The spinner is spun twice and the scores are added together. (b) Work out the probability of the final score being 4. You may use the tree diagram to help you........................... (4) 11. George has a bag of marbles. There are 6 red and 4 white marbles. George takes out a marble at random and records its colour. Without replacement, George takes out another marble, at random. (a) Complete the probability tree diagram. (2) (b) Find the probability that the two marbles are the same colour........................... (3) Lesson Review A line makes a 74.78 degree angle with the x-axis and goes through the point (0,7) What is the equation of the line? (Round your slope ratio to the nearest tenth.)