Symbol D Definition the set of all days the set of all weather conditions windy a constant in C sunny a constant in C rainy a constant in C snowy a constant in C Weekend(d) Holiday(d) Weather(d, c) “weather condition c occured on day d," where d e D and c e C "d is during a weekend," where d e D "d is during a holiday," where d e D Note: The set C contains more elements than just the four constants shown above. Using only these sets, constants, and predicates, the symbols = and +, and the standard propositional operators and quantifiers from lecture, translate each of the following English statements into predicate logic. Hint 1: Make sure to read the instructions on page 1, especially the “Additional instructions" at the bottom of the page.… .. Hint 2: Some of these statements are a little ambiguous and require careful consideration–think carefully about the different possible meaning, and which one is most likely. (a) It is always windy during holidays. (b) More than one weather condition occurs on some days. (c) There is no day during which every weather condition occurs.

Math 161 Test 2 Version 2 (76 points) Name Clark Nelms Sections 1.3 - 1.8 John Scalea 2021 October 04 Page 1 1. Consider the relation as defined in the following table which shows instruments and the players of each instrument in a local band. Consider the instrument as the independent variable and the name of the player as the dependent variable. Instrument Bass Drums Guitar Guitar Player John Mark Bob Patty a. Write a set of ordered pairs that defines the relation. b. State the domain of the relation. c. State the range of the relation. d. State whether the relation is a function. mob ati stn Consider the relation defined by the following set of points: {(5, 0), (2, 0), (-9, 5), (3, 7), (-6, -3) lation is a function

x-2y+z =20 Give examples of void set, singleton, power set and universal set. b. If A = {1, 2, 3, 4}, B= {2, 4, 6, 8} and C= {3, 4, 5, 6}, Find - (i) AUB, (ii) BUB, (iii) (AUB)UC, (iv) AU (BUC). Suppose, you are given a Venn Diagram with 3 sets as below: 2. a. c. Shade the Venn diagram for the following conditions: (i) AUB (ii) ANB (iii) ANB (iv) (ANB)nC

1.4 6 Scatterplots atch these values of r with the accompanying scatterplots: 0.302, - 0.994, 0.994, -0.302, and - 0.699. 7 Click the icon to view the scatterplots. Scatterplot 1 Scatterplot 2 Scat atch the values of r to the scatterplots. 8- 8- catterplot 1, r= -2- 6- 8- catterplot 2, r%= 4- 4- catterplot 3, r= 2- 2- catterplot 4, r= 0.2 0.4 0.6 0.8 0.2 0.4 0.6 0.8 0.2 0.4 catterplot 5, r= Scatterplot 4 Scatterplot 5 8- 8- 6- 4 0.2 0.4 0.6 0.8 0 0.2 0.4 0.6 08 Print Done Click to select your answer(s) and then click Check Answer, B. 人。 B.

h MAT-154 Class Resources X P Do Homework - Topic 2 Homew X My Questions | bartleby 8 https://mylab.pearson.com/Student/PlayerHom My Questions | bartleby d=6214477958questionld=5&flushed=false&cld=68906418&back=DoAssignments.aspx Sign in b bartleby.com MAT-154-0500 Laura Phillips 03/22/22 9:46 AM Question 5, 2.1.55 = Homework: Topic 2 Homework HW Score: 13.33%, 6 of 45 points O Points: 0 of 1 Save Part 1 of 2 Write an equation for the line perpendicular to the line y = 14 and passing through (2, - 4). If possible, write a formula for a linear function whose graph is the given line. ... The equation of the line perpendicular to the line y = 14 and passing through (2, - 4) is (Simplify your answer. Type an equation.) Help me solve this View an example Get more help - Clear all Check answer 11:46 AM O Type here to search 59°F Partly cloudy 3/22/2022

Control limits for c chart if a standard value of c is not available: LCL = - 37, CL =T, UCL= +37 LCL =c-3c, CL=c, UCL =c+3c LCL =& -d;Vē, CL=7, UCL=7+ d; Vē a) CL = 7, UCL = + 3c b) c) d,ve, CL = UCL =ē +d3Ve d) LCL = c-D,Nc, CL = c, UCL=c+D.Nc

Maps as Ordered Pairs (1/4) Consider the following set of ordered pairs of the elements of a set A = {1, 2, 3, 4} of numbers and a set B = {a, b, c, d, e} of letters. {(1, а), (2, b), (3, d), (4, е)} Select all options true of this set. O This is not a map from A to B. This is a map from A to B and is onto. O This is a map from A to B and is one-to-one. O This is a map from A to B and is neither one-to-one nor onto. Save Submit You have used 0 of 1 attempt Maps as Ordered Pairs (2/4) Consider the following set of ordered pairs of the elements of a set A = {1, 2, 3, 4} of numbers and a set B = {a, b, d} of letters. {(1, a) , (2, b) , (3, d) , (4, d)} Select all options true of this set. O This is not a map from A to B. This is a map from A to B and is onto. O This is a map from A to B and is one-to-one. O This is a map from A to B and is neither one-to-one nor onto. Save Submit You have used 0 of 1 attempt Maps as Ordered Pairs (3/4) Consider the following set of ordered pairs of the…

Moving only left and down, how many paths are there from X to H? H X

-2 5 Let aj , a2 -2 and a3 20 1 The set {a1, a2, a3 } will span R unless h = (If there are no values of h that make the set fail to span, enter "NONE". If the set fails to span for all values of h enter "ALL".)

Teachers get courses assigned to teach each semester. For each instructor, there are the courses that the instructor can teach based on the skill set of the instructor, and there are courses that the teacher would rather teach all the time, closer to their specialization. To be able to teach in any department, a teacher must be able to teach more than the favorite courses. Let X denote the proportion of teachers who teach the whole spectrum of courses taught in a department, and Y the proportion of teachers who teach the courses they specialize in. Let X and Y have the joint density function : f(x,y)=2(x+y),0<y<x<1 (a) Given that 10% of the teachers teach the whole spectrum of courses, what is the probability that fewer than 5% teach their favorite courses? (b)  What is the expected percentage of teachers teaching their favorite courses when the proportion of teaching the whole spectrum is 0.7?