Write a real-life story using the amount of water in a bottle that involves the sum of an integer and its additive inverse.

17. a researcher measures three variables, x, y, and z for each individual in a sample of n = 20. the pearson correlations for this sample are rxy = 0.6, rxz = 0.4, and ryz = 0.7. a. find the partial correlation between x and y, holding z constant. b. find the partial correlation between x and z, holding y constant. (hint: simply switch the labels for the variables y and z to correspond with the labels in the equation.) gravetter, frederick j. statistics for the behavioral sciences (p. 526). cengage learning. kindle edition.

How much money does ron have left each month after his fixed expenses? ron graduated from college five years ago. he recently bought a house, but shares it with a housemate who pays him $800 a month for rent and utilities. ron is putting a budget worksheet together so he will have a better idea of where his money is going and where he can save. enlarge

Me! i'm really confused the isosceles trapezoids, abcd and efgh, are similar quadrilaterals. the scale factor between the trapezoids is 2: 3, line gh = 6 centimeters, line ad = 8 centimeters, and line ab is three times the length of line dc . use complete sentences to answer the following prompts and include all of your calculations in your final answer. a. write a similarity statement for each of the four pair of corresponding sides. b. write a congruence statement for each of the four pair of corresponding angles. c. determine the perimeter for each of the isosceles trapezoids.