e an example to show that ifRandSare bothn-ary relations, then
Want to see the full answer?
Check out a sample textbook solutionChapter 9 Solutions
DISCRETE MATHEMATICS LOOSELEAF
- Let x be the age in years of a licensed automobile driver. Let y be the percentage of all fatal accidents (for a given age) due to speeding. For example, the first data pair indicates that 37% of all fatal accidents of 17-year-olds are due to speeding. Complete parts (a) through (e) after verifying that Σx = 329, Σy = 121, Σx2 = 18,263, Σy2 = 2955, Σxy = 4,187, and r ≈ −0.9647. (a) Draw a scatter diagram displaying the data. please answer parts a-e.arrow_forwardShow all steps. Correct answer is : 3.1415926535898arrow_forwardA random sample of 49 measurements from one population had a sample mean of 12, with sample standard deviation 5. An independent random sample of 64 measurements from a second population had a sample mean of 15, with sample standard deviation 6. Test the claim that the population means are different. Use level of significance 0.01. answer part c only.arrow_forward
- X 1 + 2 x 2 + 6×3=2 2x +5X2 +15x3 = 3 6x + 15×2 + 46x3 = 12arrow_forward(1) Review from class notes the notion of a surface. Now consider F: R³ → R, a differentiable (smooth) function. Thus, the partial derivatives of F, Fr OF OF OF F = Oxy and F. = ду მ2 exist and are continuous on all of R³. We say a point p = (P1, P2, P3) € R³ is a critical point of F if Fr(p) Fy(p) = F(p) = 0. Otherwise p is said to be a regular point of F. For any cЄR, the level set F-1(c) is a regular level set if F-¹(c) 0 and consists entirely of regular points. Regular Level Set Theorem. Let F: R³ → R be a differentiable function. Then every regular level set of F is a surface in R³. Note: The Regular Level Set Theorem does not say that non-regular level sets of F are never surfaces! It only says that regular level sets always are. In each case below decide if the set is (or is not) a surface in R³. Give a one-line explanation of your answer in each case. The Regular Level Set Theorem may be helpful in deciding that a set is a surface. It will not help you in arguing that a set is…arrow_forwardNo Chatgpt please will upvotearrow_forward
- No Chatgpt please will upvotearrow_forwardNo Chatgpt please will upvotearrow_forwardThe table below contains pulse rates after running for 1 minute, collected from a sample of females who drink alcohol. The mean pulse rate after running for 1 minute of females who do not drink is 97 beats per minute. Do the data show that the mean pulse rate of females who do drink alcohol is higher than the mean pulse rate of females who do not drink? Test at the 7% level. Click this button to reveal the data. Click again to collapse it. pulse rate after running one minute in bpm 86 71 121 102 58 74 106 88 130 94 69 100 131 115 85 137 91 124 84 137 125 133 109 70 71 50 119 112 137 96 68 83 116 85 78 95 Click Download CSV to download csv file of data or copy/paste the data into Excel. After downloading the file, you may want to save it as an Excel Workbook. Parameter i. What is the correct parameter symbol for this problem? ? # ii. What is the wording of the parameter in the context of this problem? Select an answer Hypotheses iii. Fill in the correct null and alternative hypotheses:…arrow_forward
- IF you are Chatgpt user leave it Will downvote Don't use chat gpt plzarrow_forwardsolve no 1,3,7,9,13,15,17,19,21,23,27,29,31,35,37arrow_forward3. Answer the questions for the quadratic function f(x) = -2x² + 8x - 10 a. Does the parabola opens up or down? b. Find the equation of the axis of symmetry. c. Find the vertex. d. Find the x and y intercepts. e. Graph the function on the axis provided. 12 13arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageElements Of Modern AlgebraAlgebraISBN:9781285463230Author:Gilbert, Linda, JimmiePublisher:Cengage Learning,Elementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage Learning