Math Sets S3, 4 Caltec S.3

SETS Given two sets A and B such that and Find a. In a conference meeting, 30 guests speak Arabic (A) 25 speak German (G), 10 speak French (F) and Arabic, 4 speak French and German only. The number of guests who speak French only are two more than those speaking neither languages. If and the probability that a guest speaks at least two languages is , use a venn diagram to find; the value of x (06marks) (ii) How many guests speak only one language (02marks) (iii) Where is the universal set (02marks) (iv) The percentage of guests speaking German only (02marks A group of students play either football (F) Volleyball (V) or Tennis(T). 21 play F,17 play V and 18 play T.7 play F and V,11 play T and F while 3 play only T and V.Those playing Vonly exceeds those playing the three games by 2. Draw a Venn diagram representing the given information. How many students play Tennis only? How many students are in a group? Find the probability of picking on a student playing at least two games. Sets and B are such that and.If where is the universal set, represent the information on a Venn diagram hence find Two sets A and B are such that and Determine (i). (ii). . The mean mark of boys and girls in a class of 70 students is 60% and 58% respectively. If the class has 45 boys, determine the mean mark for the whole class In a class, a sample of 45 students were selected at random and it was found out that 27 study mathematics (M), 20 study Physics (P) and 18 study Economics (E). Four study M and E while nine study M and P. No student studies all the three subjects. The number …