You successfully completed statistics, and the Math Department Chair recruited you to be a tutor. It’s day one on the job, and your first pupil is correcting her mistakes on a recent statistics exam. She incorrectly listed the reasons that researchers use random sampling when conducting a survey. She wants to know why researchers should use a random sample to conduct a survey. Check all that apply. Group of answer choices A random sample is likely to avoid bias. In a random sample some members of the population are more likely to be selected than others. Random samples provide consistency and systematically favor one choice over every other choice in each survey question. Random sampling will provide a more representative sample of population. Researchers can use a random sample to draw conclusions about the population.

One side of a rectangle is 7 feet shorter than seven times the other side. find the length of the shorter side if we also know that the perimeter of the rectangle is 306 feet.

If you apply the below transformations to the square root parent function, f(x) = vx, what is the equation of the new function? • shift 12 units right. • shift seven units down.

The table shows the relationship between the number of cups of cereal and the number of cups of raisins in a cereal bar recipe: number of cups of cereal number of cups of raisins 8 2 12 3 16 4 molly plotted an equivalent ratio as shown on the grid below: a graph is shown. the title of the graph is cereal bars. the horizontal axis label is cereal in cups. the x-axis values are 0, 20, 40, 60, 80,100. the vertical axis label is raisins in cups. the y-axis values are 0, 10, 20, 30, 40, 50. a point is plotted on the ordered pair 40,20. which of these explains why the point molly plotted is incorrect? (a) if the number of cups of cereal is 40, then the number of cups of raisins will be10. (b)if the number of cups of raisins is 40, then the number of cups of cereal will be10. (c) if the number of cups of cereal is 40, then the number of cups of raisins will be 80. (d) if the number of cups of raisins is 40, then the number of cups of cereal will be 80.