The work of a student to solve a set of equations is shown: equation a: y = 4 − 2z equation b: 4y = 2 − 4z step 1: −4(y) = −4(4 − 2z) [equation a is multiplied by −4.] 4y = 2 − 4z [equation b] step 2: −4y = 4 − 2z [equation a in step 1 is simplified.] 4y = 2 − 4z [equation b] step 3: 0 = 6 − 6z [equations in step 2 are added.] step 4: 6z = 6 step 5: z = 1 in which step did the student first make an error? (5 points)

The value √10 and √15 are plotted on the number line

Amanager recorded the number of bicycles sold by his company each quarter. his projected sales after t years is given by the expression below. which of the following statements best describes the expression? a. the initial sales of 575 bicycles increases at the rate of 4% over 4 quarters. b. the initial sales of 575 bicycles increases at the rate of 18% over 4 years. c. the initial sales of 575 bicycles increases at the rate of 4% over t quarters. d. the initial sales of 575 bicycles increases at the rate of 18% over t years.

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.