Lyra is canoeing with her scout troop. She needs to paddle north across the river to catch up to her troop where they
are having a picnic lunch on the opposite shore. The river's current travels east at 3 ft per second, and she can paddle
at 6ft per second.
By modeling this situation with vectors, a right triangle can be created.
1. Lyra attempts to paddle directly across the river, perpendicular to
the current. What will Lyra's speed be as she travels? Answer in
feet per second
2. What direction does Lyra travel? Answer in degrees north of east.

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

What is the solution set for z+10=z-2

3/8 of the students in ms. mull’s class ride the bus. if there are 24 students in the class, how many students ride the bus?