(b) find an equation of the hyperplane h in r* containing the points (1,0,1), 2 (1,1,0), p3 = (-1,1, 0) (hint: let u (a1, a2, az) be the normal vector to h. you may assume that 2|1. find constraints on the entries ai, a2, az by using what you know about the value of the dot products u (p- p), u (p- (c) find an equation of the hyperplane h in r4 containing the points (1,0,0,0), p = (1,1,0,0), p? 3 = (1,0,1,0), p4 = (1,0,0, 1).

Apsychology student wishes to investigate differences in political opinions between business majors and political science majors at her college. she randomly selects 100 students from the 260 business majors and 100 students from the 180 political science majors. does this sampling plan result in a simple random sample? why or why not? no, because each group of 200 students in the sample does not have the same chance of being selected. yes, because each group of 200 students in the sample has the same chance of being selected. no, because each individual student does not have an equal chance of being selected. yes, because each individual student has the same chance of being selected.

Anormally distributed data set has a mean of 176.3 and a standard deviation of 4.2. what is the approximate z-score for the data value of 167.9? 2.00 −2.00 8.4 −8.4

Askyscraper is 396 meters tall. at a certain time of day, it casts a shadow that is 332 meters long.at what angle is the sun above the horizon at that time?