Adie is a cube with dots on each face. the faces have 1, 2, 3, 4, 5, or 6 dots. the table below is a computer simulation (from the software package minitab) of the results of rolling a fair die 20 times. data display row c1 c2 c3 c4 c5 c6 c7 c8 c9 c10 1 5 2 2 2 5 3 2 3 1 4 2 3 2 4 5 4 5 3 5 3 4 (a) assume that each number in the table corresponds to the number of dots on the upward face of the die. is it appropriate that the same number appears more than once? why? no, the outcome of the die roll cannot repeat. no, each distinct number of dots cannot appear on more than one face of the die. yes, the outcome of the die roll can repeat. yes, each distinct number of dots can appear on more than one face of the die.

Ascientist studied a population of workers to determine whether verbal praise and/or tangible rewards affect employee productivity. in the study, some workers were offered verbal praise, some were offered tangible rewards (gift cards, presents, and some were offered neither. the productivity of each participant was measured throughout the study by recording the number of daily tasks completed by each employee. which inference might the scientists make based on the given information? a.) the number of daily tasks completed by each employee may influence the dependent variable, which is whether the employee receives verbal praise, tangible rewards, or neither. b.) verbal praise and/or tangible rewards may influence the independent variable, which is the number of daily tasks completed by each employee. c.) verbal praise and/or tangible rewards may influence the dependent variable, which is the number of daily tasks completed by each employee. d.) the dependent variables, which are verbal praise and tangible rewards, may influence the number of daily tasks completed by each employee.