Suppose 10,000 students have taken a certain course and all of them were invited to evaluate the course. Out of the 10,000, we see that 496 responded to the course evaluation. And out of those 496, there were 130 that gave the course the highest rating (that is, 5 on a scale from 1 to 5). We want an approximate confidence interval for p, the proportion of all 10,000 students that would give this course the highest rating. We estimate p to be 130/496 or about 26.2%. Is a z-interval for a proportion applicable here

What is the measure of angle tvu shown in the diagram below

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

Factor the following expression completely 6x^11-24x^7