The Springfield Middle School sixth-grade teachers of history, science, and art are listed in the table. Sixth Grade Teachers
History
Science
Art
Mr. Nelson
Ms. Porter
Mr. Rosenberger
Ms. Hogan
Mr. Grist
Ms. Patel
Ms. Miller
Ms. O’Reilly
Ms. George
Mr. Springer
Ms. Trufant
Ms. Callahan
Ms. Daniels
Mr. Pollard

Ms. Cartwright
Ms. Davis

Mr. Bergeron
Mr. Cooper

Mr. Chin
Mr. Dawson

Ms. Sarno

How many combinations of one history, one science teacher, and one art teacher include Mr. Bergeron?
13
36
252
288

List x1, x2, x3, x4 where xi is the left endpoint of the four equal intervals used to estimate the area under the curve of f(x) between x = 4 and x = 6. a 4, 4.5, 5, 5.5 b 4.5, 5, 5.5, 6 c 4.25, 4.75, 5.25, 5.75 d 4, 4.2, 5.4, 6

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

Analyze the diagram below and complete the instructions that follow. 56 find the unknown side length, x write your answer in simplest radical form. a 2047 b. 60 c. sv109 d. 65 save and exit next s and return