Please answer 26 through 29

26. Simplify the expression (5' n T)' using De Morgan's Laws. 27. A survey of a group of 114 tourists was taken in St. Louis. The survey showed the following: 63 of the tourists plan to visit Gateway Arch; 43 plan to visit the zoo; 11 plan to visit the Art Museum and the zoo, but not the Gateway Arch; 12 plan to visit the Art Museum and the Gateway Arch, but not the zoo; 17 plan to visit the Gateway Arch and the zoo, but not the Art Museum; 9 plan to visit the Art Museum, the zoo, and the Gateway Arch; 16 plan to visit none of the three places. How many plan to visit the Art Museum only? Fall 2020 Study Guide Mathematics Department MAT 104 Exam 1 23. Use a Venn Diagram and the given information to determine the number of elements in the indicated region. n(A U B U C) = 85.n(A nB n C) = 12.n(A m3) = 26.n(A n C) = 23.1108 n C) = 21.n(A) = 61,110?) = 42, and n(C) = 40. Find n(A' n B n C). 29. A survey of 100 bank customers revealed that 53 of them have a savings account, 63 of them have a checking account, 22 of them have a savings account and a loan, 16 of them have a checking account and a loan, 27 of them have only a checking account, 12 have a savings account and a checking account and a loan. Assume that every customer has at least one of the services. a. Determine the number of customers who have checking or savings accounts but no loans. b. Determine the number of customers who have a loan but do not have a savings account. c. Determine the number of customers who have a checking account but no savings account