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Chapter 12 Solutions
Numerical Analysis
- Let U= {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {xeU Ix is a multiple of 3}, and B = {x = UIx = 0 (mod 2)}. Use the roster method to list all elements in each of the following sets: a) A, b) B, c) A u B, d) B – A, e) A^cn Barrow_forwardThe function f is; Injective (only), Surjective (only), Bijective, or none? show workarrow_forwardFor each a Є Z, if a ‡0 (mod 3), then a² = 1 (mod 3).arrow_forward
- find: f(3)=? , and the set of all preimages of 2 is ?arrow_forward12:01 PM Tue May 13 < AA ✓ Educatic S s3.amazona... A Assess Your... 目 accelerate-iu15-bssd.vschool.com S s3.amazona... Trigonometric Identities Module Exam Dashboard ... Dashboard ... Algebra 2 Pa... Algebra 2 Part 4 [Honors] (Acc. Ed.) (Zimmerman) 24-25 / Module 11: Trigonometric Identities i + 38% ✰ Start Page Alexis Forsythe All changes saved 10. A sound wave's amplitude can be modeled by the function y = −7 sin ((x-1) + 4). Within the interval 0 < x < 12, when does the function have an amplitude of 4? (Select all that apply.) 9.522 seconds 4.199 seconds 0.522 seconds 1.199 seconds Previous 10 of 20 Nextarrow_forwardTechniques QUAT6221 2025 PT B... TM Tabudi Maphoru Activities Assessments Class Progress lIE Library • Help v The table below shows the prices (R) and quantities (kg) of rice, meat and potatoes items bought during 2013 and 2014: 2013 2014 P1Qo PoQo Q1Po P1Q1 Price Ро Quantity Qo Price P1 Quantity Q1 Rice 7 80 6 70 480 560 490 420 Meat 30 50 35 60 1 750 1 500 1 800 2 100 Potatoes 3 100 3 100 300 300 300 300 TOTAL 40 230 44 230 2 530 2 360 2 590 2 820 Instructions: 1 Corall dawn to tha bottom of thir ceraan urina se se tha haca nariad in archerca antarand cubmit Q Search ENG US 口X 2025/05arrow_forward
- The table below indicates the number of years of experience of a sample of employees who work on a particular production line and the corresponding number of units of a good that each employee produced last month. Years of Experience (x) Number of Goods (y) 11 63 5 57 1 48 4 54 45 3 51 Q.1.1 By completing the table below and then applying the relevant formulae, determine the line of best fit for this bivariate data set. Do NOT change the units for the variables. X y X2 xy Ex= Ey= EX2 EXY= Q.1.2 Estimate the number of units of the good that would have been produced last month by an employee with 8 years of experience. Q.1.3 Using your calculator, determine the coefficient of correlation for the data set. Interpret your answer. Q.1.4 Compute the coefficient of determination for the data set. Interpret your answer.arrow_forwardUse the figure for Exercises 1-2. Suppose you use geometry software to construct a secant CE and tangent CD that intersect on a circle at point C. File Edit Display Construct Transform Measure Graph Window Help D 1. Suppose you measure /DCE and you measure CBE. Then you drag the points around the circle and measure the angle and arc three more times. What would you expect to find each time? Which theorem from the lesson would you be demonstrating? 2. When the measure of the intercepted arc is 180°, what is the measure of the angle? What does that tell you about the secant?arrow_forwardQ.3.2 A sample of consumers was asked to name their favourite fruit. The results regarding the popularity of the different fruits are given in the following table. Type of Fruit Number of Consumers Banana 25 Apple 20 Orange 5 TOTAL 50 Draw a bar chart to graphically illustrate the results given in the table.arrow_forward
- For the given right triangle, the longer leg is 8 units long and the shorter leg is 6 units long. sina=arrow_forwardQ.2.3 The probability that a randomly selected employee of Company Z is female is 0.75. The probability that an employee of the same company works in the Production department, given that the employee is female, is 0.25. What is the probability that a randomly selected employee of the company will be female and will work in the Production department? Q.2.4 There are twelve (12) teams participating in a pub quiz. What is the probability of correctly predicting the top three teams at the end of the competition, in the correct order? Give your final answer as a fraction in its simplest form.arrow_forwardQ.2.1 A bag contains 13 red and 9 green marbles. You are asked to select two (2) marbles from the bag. The first marble selected will not be placed back into the bag. Q.2.1.1 Construct a probability tree to indicate the various possible outcomes and their probabilities (as fractions). Q.2.1.2 What is the probability that the two selected marbles will be the same colour? Q.2.2 The following contingency table gives the results of a sample survey of South African male and female respondents with regard to their preferred brand of sports watch: PREFERRED BRAND OF SPORTS WATCH Samsung Apple Garmin TOTAL No. of Females 30 100 40 170 No. of Males 75 125 80 280 TOTAL 105 225 120 450 Q.2.2.1 What is the probability of randomly selecting a respondent from the sample who prefers Garmin? Q.2.2.2 What is the probability of randomly selecting a respondent from the sample who is not female? Q.2.2.3 What is the probability of randomly…arrow_forward
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