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- If A={f,i,l,m,o,g,r,a,p,h,y}A={f,i,l,m,o,g,r,a,p,h,y} and U={a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z}U={a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z}, find A′A′.1st blank: 0.6267, 0.5006, 33, 0.7843 2nd blank: 1.44, 2.25, 1.15, 1.80 3rd blank: 0.7843, 0.6267, 0.5006, 0.4 4th blank: 2.25, 1.80, 1.15, 1.44 5th blank: larger or smaller 6th blank: 0.2689, 0.1293, 0.0145, 0.0378 7th blank: 0.0378, 0.1293, 0.0100, 0.2612 8th blank: flatter and more spread out or more like the z distributionSuppose that R1={(2,2),(2,3),(2,4),(3,2),(3,3),(3,4)},R1={(2,2),(2,3),(2,4),(3,2),(3,3),(3,4)}, R2={(1,1),(1,2),(2,1),(2,2),(3,3),(4,4)},R2={(1,1),(1,2),(2,1),(2,2),(3,3),(4,4)},R3={(2,4),(4,2)}R3={(2,4),(4,2)} ,R4={(1,2),(2,3),(3,4)}R4={(1,2),(2,3),(3,4)},R5={(1,1),(2,2),(3,3),(4,4)},R5={(1,1),(2,2),(3,3),(4,4)},R6={(1,3),(1,4),(2,3),(2,4),(3,1),(3,4)},R6={(1,3),(1,4),(2,3),(2,4),(3,1),(3,4)}, Determine which of these statements are correct. Check ALL correct answers below. A. R4R4 is symmetric B. R2R2 is reflexive C. R1R1 is reflexive D. R5R5 is transitive E. R4R4 is transitive F. R3R3 is symmetric G. R3R3 is transitive H. R2R2 is not transitive I. R6R6 is symmetric J. R5R5 is not reflexive K. R3R3 is reflexive L. R1R1 is not symmetric M. R4R4 is antisymmetric
- Either deposit should be required on beer and soft drink containers, or these containers will be discarded along highways and the countryside will look like a dump. If these containers will be discarded either in parks or along highways, then deposits should be required on soft drink containers. Therefore, deposits should be required for soft drink containers. (B, S, H, C, P)If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} A = { 2, 4, 6, 8} and B = {4, 5, 6, 7, 8} Then Ac =ᴜꜱɪɴɢ ᴛʜᴇ ᴛᴀʙʟᴇ ᴀʙᴏᴠᴇ, ᴄᴏᴍᴘᴀʀᴇ ᴛʜᴇ ᴇxᴛᴇʀɪᴏʀ ᴀɴɢʟᴇꜱ ᴡɪᴛʜ ᴇɪᴛʜᴇʀ ʀᴇᴍᴏᴛᴇ ɪɴᴛᴇʀɪᴏʀ ᴀɴɢʟᴇᴏꜰ ᴛʜᴇ ɢɪᴠᴇɴ ᴛʀɪᴀɴɢʟᴇꜱ ᴜꜱɪɴɢ <, >, ᴏʀ =.1. ɪɴ ∆ꜰᴍᴊ, ᴍ∠ꜰᴍʟ _____ ᴍ∠ꜰᴊᴍ.2. ɪɴ ∆ꜰᴍᴊ, ᴍ∠ꜰᴍʟ _____ ᴍ∠ᴍꜰᴊ.3. ɪɴ ∆ꜰᴍᴊ, ᴍ∠ꜰᴍʟ _____ ᴍ∠ꜰᴊᴍ + ᴍ∠ᴍꜰᴊ.4. ɪɴ ∆ꜰᴍᴊ, ᴍ∠xᴊᴍ _____ ᴍ∠ᴍꜰᴊ.5. ɪɴ ∆ꜰᴍᴊ, ᴍ∠ꜰᴍʟ _____ ᴍ∠ᴍꜰᴊ + ᴍ∠ᴊᴍꜰ.6. ɪɴ ∆ꜰᴍᴊ, ᴍ∠ꜰᴍʟ _____ ᴍ∠ᴊᴍꜰ.7. ɪɴ ∆ᴀʙᴄ, ᴍ∠ᴀʙᴅ _____ ᴍ∠ᴀ.8. ɪɴ ∆ᴀʙᴄ, ᴍ∠ᴀʙᴅ _____ ᴍ∠ᴄ.9. ɪɴ ∆ᴀʙᴄ, ᴍ∠ᴀʙᴅ _____ ᴍ∠ᴄ + ᴍ∠ᴀ.10. ɪɴ ∆ᴀʙᴄ ᴀɴᴅ ∆ꜰᴍᴊ, ᴍ∠ᴀʙᴅ _____ ᴍ∠ꜰᴍʟ
- U={1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20} A={1,2,3,4,6,9,10,11,12,15,16} B={1,2,3,4,7,9,11,12,13,14,15,16,17,18} C={1,2,3,6,8,9,16,17,18} LIST the elements in each of the following sets: B union ( A intersection C) B union A complementSuppose u=⟨−4,4,−2⟩ and v=⟨4,−2,3⟩. Then u×v= v×u=Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Also let A = {1, 3, 5, 7, 9} and B = {2, 4, 5, 6, 7}. Find A∪Bc
- 1.) Universal Set { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, Set A – { 0, 1, 2, 5, 7, 9, 10} and Set B – { 1, 3, 5, 6, 9} Answer the following questions. a) B – A = b) AUB’ = c) A’∩ B’ = d) A’UB’ = e) n(A’∩B) = 2.) A Company has 800 employees who bank with the Bank of Berba and First Public Bank. 312 bank with the Bank of Berba and 564 bank with the First Public Bank. How many employees bank with both banks, if 12 employees have no bank accounts?1.Universal Set { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10},Set A – { 0, 1, 2, 5, 7, 9, 10} and Set B – { 1, 3, 5, 6, 9}Answer the following questions.a) B – A = b) AUB’ = c) A’∩ B’ =d) A’UB’ = e) n(A’∩B) =2) A Company has 800 employees who bank with the Bank of Berba and First Public Bank. 312 bank with the Bank of Berba and 564 bank with the First Public Bank.How many employees bank with both banks, if 12 employees have no bank accounts? 3) Calculate : 3 3/4 x (2 2/5)÷1 2/7 -3 2/3 = 4) I) Calculate the simple interest earned on a investment of $ 400,000 after 12 years at a rate of 3.5 %.ii) Calculate the time needed on an investment of $400,000 to gained an interest of $60,000 if the interest rate is 3%.in a rugby match, a tie at the end of two overtime. Leads to a shoot out with five cakes taken by each team from the center of the 22 m line. Each kid must be taken by a different player. How many ways can five players be selected from the 15 eligible players for the five selected players how many ways can they be designated as first, second, third, fourth, and fifth? 5 players can be selected from the 15 eligible players in ___ different ways. Out of those 5 players that are selected, they can be designated at first, second, third, fourth, and fifth in ____ different ways
