Explore the Venn Diagrams eManipulative and then use this Venn Diagram to answer the question. Cats 5 Fish 4 3 Dogs 10 . . . The Venn Diagram shows the number of families that have certain types of pets. How many families have dogs as pets? familiesIn a fraternity with 38 members, 18 take mathematics, 5 take both mathematics and physics, and 8 take neither mathematics nor physics Next question hysics but not mathematics? members take physics, but not mathematics.Of the eighth graders at the Paxton School, 15 played basketball, 9 played volleyball, 10 played soccer, 1 played basketball and soccer only, 2 played volleyball and soccer only, 1 played basketball and volleyball only, and 2 played volleyball, basketball, and soccer. How many played one or more of the three sports? How many eighth graders played one or more of the three sports?Explore the Venn Diagrams eManipulative and then use this Venn Diagram to answer the question. Cats 5 Fish 4 3 Dogs 10 . . " The Venn Diagram shows the number of families that have certain types of pets. How many families have only cats as pets? familiesIn a survey of 1070 investors, it was determined that 670 invested in stocks, 655 in bonds and 360 in both stocks and bonds. a. How many invested in only stocks? b. How many invested in stocks or bonds? c. How many did not invest in either stocks or bonds? . . . a. How many invested in only stocks?When a ship sank, the following data about the 318 first-class passengers were reported in newspapers. . 142 women and children were first-class passengers who survived, with only 6 lost. . 111 men were lost. How many men who were first-class passengers survived? men who were first-class passengers survived. (Type a whole number.)Complete a truth table to determine whether the negation of p-q is pA~q. Complete the truth table. p q - q b~Vd p-q -(p->q) T T FWrite the following sets using the listing (roster) method or using set builder notation. Complete parts (a) and (b) below. . . . a. Write the set of letters in the word 'allowances' using the most concise method where A is the set of lowercase letters. (Use a comma to separate answers as needed.) O A. The set of letters is O B. The set of letters is