Aresearcher is interested in studying the perceived life satisfaction among younger adults and hypothesizes that life satisfaction among younger adults is different than the general public. she did a pilot study and gave a life satisfaction test (known to have high reliability and validity) to nine younger adults (between 20 and 30). scores on the measure range from 0 to 5 with 5 indicative of high life satisfaction, and 0 indicative of no life satisfaction. the collected data is: 4, 3, 3, 4, 5, 2, 2, 2, 2 assuming life satisfaction of 2.5 for general public, conduct the appropriate test and answer the questions. what would be the null hypothesis of this study?

The functions q and r are defined as follows. q(x)= -2x+2 r(x)= x^2 - 1 find the value of r(q(

Sienna planned a trapezoid-shaped garden, as shown in the drawing below. she decides to change the length of the top of the trapezoid-shaped garden from 32 ft to 24 ft. which expression finds the change in the scale factor?

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.