After observing this pattern, lexie made a conjecture for the next shape in the pattern. five squares in a row. each square has a segment extending from its center to a vertex of the square. in the first square, the segment extends to the top left. in the second square, the segment extends to the top right. in the third square, the segment extends to the bottom right. in the fourth square, the segment extends to the bottom left. in the fifth square, the segment extends to the top left. which shape was most likely her conjecture for the next shape?

Farmers know that driving heavy equipment on wet soil compresses the soil and injures future crops. here are data on the "penetrability" of the same type of soil at two levels of compression. penetrability is a measure of how much resistance plant roots will meet when they try to grow through the soil. compressed soil 2.85 2.66 3 2.82 2.76 2.81 2.78 3.08 2.94 2.86 3.08 2.82 2.78 2.98 3.00 2.78 2.96 2.90 3.18 3.16 intermediate soil 3.17 3.37 3.1 3.40 3.38 3.14 3.18 3.26 2.96 3.02 3.54 3.36 3.18 3.12 3.86 2.92 3.46 3.44 3.62 4.26 use the data, omitting the high outlier, to give a 95% confidence interval for the decrease in penetrability of compressed soil relative to intermediate soil. compute degrees of freedom using the conservative method. interval: to