the following table shows the test scores and sleep averages of several students. hours of sleep (x) 7 7 7 6 8 8 9 5 6 7 7 9 8 8 10 8 test score (y) 90 75 70 70 85 95 90 60 65 80 70 85 85 100 95 90 (a) use graphing technology (ti calculator or desmos) to find the linear regression equation that models the data. let x equal the hours of sleep and y equal test score. explain the steps you use. (b) use the equation to determine the approximate test score of a student who sleeps an average of 7.5 hours a night. show your work

Steve wants to develop a way to find the total cost of any item including sales tax. the sales tax in his city is 6%. his friend jenna writes the expression x + 6x where x is the cost of the item. explain whether her expression is correct based on the situation.

Juliana says that she can use the patterns of equivalent ratios in the multiplication table below to write an infinite number of ratios that are equivalent to 6: 10. which statement explains whether juliana is correct? she is correct because she can multiply 6 and 10 by any number to form an equivalent ratio. she is correct because 6: 10 can be written as 1: 2 and there are an infinite number of ratios for 1: 2. she is not correct because the multiplication table does not include multiples of 10. she is not correct because 6: 10 is equivalent to 3: 5 and there are only 9 ratios in the multiplication table that are equivalent to 3: 5.

Atriangle has a side lengths of 18cm, 80 cm and 81cm. classify it as acute obtuse or right?