Consider the statement that 3n – 2 is an odd number for all n = 1,2, 3, .... Which of the following statements is necessary to prove the statement via mathematical induction? I) Assume 3k – 2 is an odd number, then 3(k+1)-2 is also an odd number. II) Let n be arbitrary. Show that 3 * n – 2 is an odd number. III) Show that 3·1 – 2 is an odd number. IV) Pick two values of n at random and show that the statement is true for these chosen n values. Multiple choice: a) “I only" b) “II only" c) “III only" d) “IV only"

-4 = 1 O a O b -15 15 O d -9

Match these values of r with the accompanying scatterplots: - 0.385, 0.385, 0.997, - 0.767, and 1. Click the icon to view the scatterplots. Match the values of r to the scatterplots. Scatterplots Scatterplot 1, r = 0.385 Scatterplot 2, r= 0.997 Scatterplot 3, r = -0.767 Scatterplot 4, r = Scatterplot 1 Scatterplot 2 Scatterpl 8- R- 8- - 0.385 6- 6- 6- Scatterplot 5, r= 1 > 4- 4- 4- 2- 2- b- 0- 0- 0.2 0.4 0.6 0.8 1 0.2 0.4 0.6 0.8 1 0.2 0.4 0.6 х х Scatterplot 4 Scatterplot 5 15- 8- 14- 6- 13- 4- 12- 2- 11- 10- 0+ 1 0.2 0.4 0.6 0.8 0.2 0.4 0.6 0.8 х

The value of y is between negative three and positive eight inclusive.Which of the following represents y?a. −3 ≤ y ≤ 8b. −3 < y ≤ 8c. −3 ≤ y < 8d. −3 ≥ y ≥ 8

The putting the steps in order questions are incorrect

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Match these values of r with the accompanying scatterplots: -1, -0.788, -0.998, 1, and 0.998. Click the icon to view the scatterplots. Match the values of r to the scatterplots. Scatterplot 1, r= 1 Scatterplot 2, r=-0.998 Scatterplot 3, r= -1 Scatterplot 4, r= 0.998 Scatterplot 5, r=-0.788 n example Get more help Scatterplots A 15- 14- 13- 12- 2 10 8 6 4- 2- Scatterplot 1 7 0 0.2 0.4 0.6 0.8 Scatterplot 4 0 0 0.2 0.4 0.6 0.8 X 다 O Print 2 6 0 . Scatterplot 2 0.2 0.4 0.6 0.8 X 1 Scatterplot 5 -8- 0 0.2 0.4 0.6 0.8 X Done 1 Q O G A 9 2 3 Scat 0 0.2 0.4 . X

Please help me answer the following questions. Thank you

The value of y is between negative three and positive eight inclusive. Which of the following represents y?

? = 6; ? = 2 P(5 ≤ x ≤ 8)