Area Unda New York City College of Technology MAT 1190 Quant

Area Unda New York City College of Technology MAT 1190 Quantitative Reasoning Final Examination SPRING 2017 Name show all work in examination booklet. Include all steps and explain all answers. All answers should be clearly labeled and ft in exact simplest form unless otherwise indicated. 1. (a) consider the following scatter diagram (Height of a Female Basketball Player versus Weight) State whether the diagram show a positive correlation, a negative correlation, or no correlation and summarize any conclusions that can draw from the diagram. PLAYER WEIGHTAHEIGHT 1U WEIGHT (POUNDS) (b) If the state sales tax is 7t, what is the total cost of a $76 pair of shoes? 2. solve the following system of equation for x and y 2x y 4 3. solve and graph the solution of the inequality -11 s 3x -2s4 4. Construct a truth table for the statement. p please turn page over Page 1 of 2

Solution

Answer 1(a): Positive correlation (As explained below)

The value of y increases with value of x. In other words, both the variables are moving in the same direction. So the graph shows positive correlation.

Answer 1(b): Data is incomplete to solve this problem.

Answer 2: x = 3; y = -2 (As explained below)

6x - 4y = 26 ____(1)

2x + y = 4______(2)

Multiplying eqn (2) by 4 and adding to (1), we get:

8x + 4y = 16_____(3)

14x = 42

x = 3

Substituting for x in (2), we get:

2(3) + y = 4

y = -2