As part of a statistics project, Charlie would like to collect data on household size in his city. To do so, he asks each person in his statistics class for the size of their household and reports the results of a simple random sample. However, this is not a simple random sample. Why?1. Charlie did not use any randomization; he took a convenience sample.2. Charlie did not use a random number table to randomize the order in which he collected the students' responses, so the sample cannot be random.3. In this investigation of household size, each household represents a case. Charlie incorrectly sampled individuals instead of households.4. Both (1) and (3) are correct.

In order to find where two graphs intersect, you need to set equal to each other the two equations: y = x² + 3x - 5  y = 4x + 1therefore: x² + 3x - 5  = 4x + 1which brings to: x² - x - 6 = 0the solutions of this equation are: x₁ = -2 and x₂ = +3up to this point sam's solutions are correct.  the mistake arrives because he sets the correspondent y to 0, instead he should have substituted the values found for x in either one of the original equations: y₁ = 4·(-2) + 1 = -7as well as: y₁ = (-2)² + 3(-2) - 5 = -7similarly: y₂ = 4·(+3) + 1 = 13ory₂ = (+3)² + 3(+3) - 5 = 13therefore the graphs intersect at point (-2 , -7) and (3 , 13)