CNUAS Probability and Algebra Questions

User Generated

Qrynavr19

Mathematics

California National University for Advanced Studies

Description

Hello, I need help on those 2 parts of the exams. Part 1b is due in 9 hours and the other one is due in 24 hours. I will increase the time when ever you send me the first one in 9 hours. they both need to be typed.

Here is the like of the book that you can use: (https://drive.google.com/file/d/1QAJfAhBkxIvEOZpy9IgZ0bh-KdqiFi0G/view?fbclid=IwAR06IsBsgLkCPXoxE-vEQHTtbB8Utwdq9tUa317W4pi5EklnrJC6cwJD3uM)

Let me know if you have any questions.

Thank you.

Unformatted Attachment Preview

Midterm 1 This calculator-free midterm is designed as a post-assessment of your understanding of important ideas in Chapters 12, 13 and parts of 14. Please ask if you have any questions. Good luck! 1. Multiply the following polynomials using a rectangular area model. Label each of the original polynomials and resulting components in your diagram. Clearly indicate how your diagram shows the solution. Write your solution in lowest terms. (n + 4) • (5n + 2) 2. Can the following data be modeled with a linear function? Say how you know. x y 1 3 2 9 x y -4 52 -1 43 3 27 4 28 4 5 81 243 7 19 12 4 3. How many dots are in figure 12? What about figure n? Explain how you know using algebraic thinking, labeling any quantities you refer to. 4. Is this a proportional situation? Why or why not? If yes, describe the relationship. If not, give a counter-example that shows it is not proportional. If 8 chocolates cost $1.20, how much do 12 chocolates cost, assuming that each chocolate costs the same amount? 5. Two workers, Ava and Bob, working 9 hours made 243 parts. Ava makes 13 parts in 1 hour. a. Write two equations, one for each worker, relating hours worked and parts made. Label each variable. b. If the workers work at a steady rate throughout the day, who is more productive, Ava or Bob? Briefly explain how you know. 2 6. Please circle T for true or F for false for each of the following statements. If the statement is false, explain why it is false. If the statement is true, simply circle true. a. Distance-time graphs are always either increasing or constant. T F b. In a position-time graph, the slope of the line represents ‘total distance traveled’. T c. Michael got an increase in his salary and increases his donations to local charities. T d. = 3 describes a proportional relationship. e. is a linear function. T T F F F F 7. Consider the following story problem: Lizeth left her apartment for a coffee shop. She walked down University Avenue for three blocks at a constant rate, then instantly began jogging at a constant rate for three more blocks. Halfway to the coffee shop, she realized that she forgot to lock her apartment! She immediately turned and sprinted back towards her apartment at a constant rate. She caught her breathe for a few moments as soon as she arrived home while locking her door. To ensure she would not be late to meet her Chrissy, she immediately sprinted to the coffee shop at a constant rate. a. Graph the relationship between Lizeth’s position from apartment and time. b. Graph the relationship between Lizeth’s distance traveled and time. Use the same scale as in part (a), and put part (b) right under (a). For each graph, make it clear what part of your function corresponds with her different parts of her travels. 3 8. Solve the following in expanded form. Show each step of your work. 9. Determine whether the following problems are functions or not. If they are not function(s), you must explain why it is not a function. a. (8,3), (7,4), (6,3), (5,2), (4,1), (3,0), (2,1), (0,2) b. (3,8), (4,7), (3,6), (2,5), (1,4), (0,3), (1,2), (2,0) 10. A dog eats 12 pound of dog food every day. The dog’s owner buys a bag that weighs 24 pounds. What amount A remains after d days? Graph the problem and describe each part of the equation you find. Graph : ? A=? Slope = ? d=? y – intercept = ? 4 Math 312 Exam #1 (Ch 27, 28, 33.1) Name: Instructions: This exam is due on Canvas by 11:59 pm. You must show all work to receive credit. Write answers clearly in the spaces provided and be clear in all explanations of your answers. No calculators. Answers may be in decimal or equivalent fraction form. Good luck! I have read and understood SDSU’s academic integrity policies. I pledge on my honor that I have not given or received any unauthorized assistance on this assignment/examination. Signature: ______________________________________________________________ 1. (2 points) Imagine we are performing the experiment of rolling two fair die at the same time. Describe a possible event of this experiment and a related outcome of your event. Possible event:………………………………………………………………… Possible outcome:…………………………………………………………………… Answer questions 2 - 5 with either True or False. If your answer is False, you must provide an explanation in order to receive full credit for the question. (2 points each) 2. An event that CANNOT happen has a negative probability. 3. If Y is impossible, the probability of not Y is one. 4. If a fair die is rolled once, the probability that you get a four, given that the die comes up an even number, is one-sixth. 5. If A and B are disjoint events, then P(A or B) = P(A) + P(B). 1 6. (2 points) A bag has only red balls and green balls. The experiment is to draw one ball from the bag without looking. What does it mean to say, “The probability of getting a green ball is 40%”? 7. A) (1 pt) The theoretical probability of getting red for the spinner below is_______. (The spinner is a regular pentagon.) B) (1 pt) What are the odds of spinning on red? C) (1 pt) Explain how you would find the experimental probability for getting red for the spinner above if you wished to check your theoretical probability. 8. (2 pts) Design a simulation for a spinner that would allow a simulation of a birth happening during any of the 12 months of the year with equal probabilities. Describe how you would carry out the simulation. 2 9. (1 pt each) A fair die is rolled once. Find the probability of rolling: a. The number 2 b. A number other than 2 c. An even number d. A number less than 5 e. A number greater than 6 10. I have a spinner with three regions, A, B, and C. I know the P(A)=⅕ and P(C)=⅖. I also have an unfair coin, with P(head)=0.6. Answer the following questions: a. (5 pts) Construct a tree diagram representing one spin and one toss. Include all probabilities and outcomes. b. (2 pts) What is the probability of spinning region A or tossing a tail? 3 11. (4 pts) In my bag I have 2 dimes, 2 nickles, and 1 penny. I get to the candy shop and randomly pick two coins out of my bag. I am hoping to buy a candy bar that costs 15 cents. What are the chances I will be able to buy it? 12. Spin-and-Win is under new management. The new management has changed the spinner as below and now charges $1 per spin. (The person spinning wins the amount pointed to by the spinner.) A) (2 pt) What is the expected value for this game? (Show your work.) B) (2 pt) What does your answer in part A mean if there are 1000 customers who play the game in a week? 4 13. Malta City has two major construction projects to consider. (1) build a pedestrian bridge over a busy street or (2) build a new park. The budget will not allow for both projects to be funded, so the city council must decide to vote. In a polling of 500 random citizens, 30% were parents of school children. Of these parents, 60% favored the park; 50% of the nonparents favored the bridge. Assume that future votes give the same results. Construct a contingency table (5 points) to find the following probabilities. (2 points each) (i) (ii) (iii) (iv) P(favor bridge | parent) P(parent | favor bridge) P(favor bridge or parent) P(favor park and parent) 5 EXTRA CREDIT: (2 points) You give a child the choice of drawing from two bags of balls. The child wins if he/she draws a red ball. Bag 1 has four red balls and seven green balls; bag 2 has two red balls and three green balls. Which bag gives the child a better chance of winning (or are the chances the same)? Please explain. 6
Purchase answer to see full attachment
User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.

Explanation & Answer

Hello find your files attached ^^

14.2
1
a. The target is moving away from the motion detected at a constant speed. The target was
initially 2 feet away from the detector.
b. The target is moving away from the motion detected at a constant speed. However, it is
moving at a higher speed than...


Anonymous
Really great stuff, couldn't ask for more.

Studypool
4.7
Trustpilot
4.5
Sitejabber
4.4

Related Tags