A total of 37,451 Ph.D.\'s were earned in 1991. Out of the 1164 Ph.D.\'s in busi

Question

A total of 37,451 Ph.D.'s were earned in 1991. Out of the 1164 Ph.D.'s in business and management, 292 were women. Women earned 13,782 Ph.D.'s. 3) How many men earned Ph.D's in business and management? A survey of 100 bank customers revealed that 58 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. 4) How many customers have a loan? Use a Venn diagram to answer the question. 5) At East Zone University (EZU) there are 413 students taking College Algebra or Calculus. 285 are taking College Algebra, 214 are taking Calculus, and 86 are taking both College Algebra and Calculus. How many are taking Algebra but not Calculus? Use a Venn Diagram and the given information to determine the number of elements in the indicated region. 6) n(U)-224, n(A)-76, n(B)-96, n(AnB)-33, n(A nC)-36, n(AnBnc)-17, n(A'nBnC)-46, and n(A'nB'nC)-57. Find n(C).

Explanation / Answer

Answer (3)

Totalnumber of Ph.D's earned in 1991 = 37,451

Total number of Ph.D's in business and management = 1164

Total number of women get Ph.D's in business and management = 292

The number of men Ph.D's in business and management is

= 1164-292

= 1072

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