Q3. Given the Venn Diagram and its Carroll Diagram: wwm w Prob. Venn Diagram Incomplete Carroll diagram A B 0.4 0.3 0.1 A Not-A B 0.1 0.5 Not-B IV 0.4 V 1 Identify the values of I, II, III, IV and V in the Carroll diagram. A. I = 0.2, II = 0.3, III = 0.3, IV = 0.5, V = 0.3 B. I = 0.3, II = 0.2, III = 0.4, IV = 0.4, V = 0.2 C. I = 0.4, II = 0.3, III = 0.2, IV = 0.5, V = 0.6 D. I = 0.5, II = 0.2, III = 0.4, IV = 0.4, V = 0.4 %3D %3D O A. A О В. В ОС. С O D. D

The following problem is based on this theorem: A median of a triangle separates it into two triangles of equal area. In the figure, RST has median RV. a Explain why ARSV=ARVT. b If ARST=40.8cm2, find ARSV.

Broadway The ordered pairs below give the starting year and gross ticket sales S (in millions of dollars) for each Broadway season in New York City from 1997 through 2014. 1997,558 2003,771 2009,1020 1998,588 2004,769 2010,1081 1999,603 2005,862 2011,1139 2000,666 2006,939 2012,1139 2001,643 2007,938 2013,1269 2002,721 2008,943 2014,1365 (a) Use a graphing utility to create a scatter plot of the data. Let t=7 represent 1997. (b) Use the regression feature of the graphing utility to find the equation of the least squares regression line that fits the data. (c) Use the graphing utility to graph the scatter plot you created in part (a) and the model you found in part (b) in the same viewing window. How closely does the model represent the data? (d) Use the model to predict the gross ticket sales during the season starting in 2021. (e) Interpret the meaning of the slope of the linear model in the context of the problem.

Evaluate the following: Let A={1,2,3,4}, B-{2,5,6,8} and C={4,5,7} U={1,.10} I. Draw the Venn Diagram II. Find: 1. (AUB) - C = 2. (AUC) n (B - A) = 3. (BUC)' = 4. B- (ANB) = 5. ANBNC = 6. AU(BNC)'=