Vanessa tried to solve an equation step by step. \qquad\begin{aligned} -12&=4(f-6) \\ -12&=4f-24&\green{\text{Ste p } 1} \\ 12&=4f&\blue{\text{Step } 2} \\ 4&=f&\purple{\text{Step } 3} \end{aligned} −12 −12 12 4 =4(f−6) =4f−24 =4f =f Step 1 Step 2 Step 3 Find Vanessa's mistake

Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e.g. 98.76543).

The approximate line of best fit for the given data points, y = −2x − 2, is shown on the graph.which is the residual value when x = –2? a)–2 b)–1 c)1 d)2

To convert celsius temperatures to fahrenheit, you can use the expression (c + 32). tom says that another way to write this expression is c + 32. what error did tom make?