A group of 50 students at the Namibia University of Science and Technology, take at least on of these subjects: Calculus(C) and ANOVA(A). 17 take both subjects, 9 take Calculus only. 8 take ANOVA only and x take neither subjects.

4.1 Represent this information on a venn diagram.

NB: For questions 4.2 to 4.4 use appropraite set notations.

4.2 Find the value of x

4.3 Find the number of students taking Calculus or ANOVA

4.4 Find the number of students taking ANOVA.

4.5 Find the number of students who are not taking Calculus.

1 x=22.52

2: 65/39=604+39x

65x-39x=604

26x=604

x=604/26

×=23.23

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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