Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 133 to 193 cm and weights of 40 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x overbarequals167.90 cm, y overbarequals81.47 kg, requals0.228, P-valueequals0.023, and ModifyingAbove y with caretequalsnegative 105plus1.13x. Find the best predicted value of ModifyingAbove y with caret (weight) given an adult male who is 172 cm tall. Use a 0.05 significance level. The best predicted value of ModifyingAbove y with caret for an adult male who is 172 cm tall is nothing kg. (Round to two decimal places as needed.)

What’s the volume of the triangular prism?

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.

Write the equation of the circle centered at (10,-2) with radius 2