The two dot plots below show the heights of some sixth graders and some seventh graders:

two dot plots are shown one below the other. the title for the top dot plot is sixth graders and the title for the bottom plot is seventh graders. below the line for each dot plot is written height followed by inches in parentheses. there are markings from 52 to 57 on the top line and the bottom line at intervals of one. for the top line there are 2 dots above the first mark, 1 dot above the second mark, 1 dot above the third mark and 2 dots above the fourth mark. for the bottom line, there are 2 dots for the fifth mark, there are 4 dots above the sixth mark.

the mean absolute deviation (mad) for the first set of data is 1.2 and the mad for the second set of data is 0.4. approximately how many times the variability in the heights of the seventh graders is the variability in the heights of the sixth graders? (round all values to the tenths place.)

3.2
3.0
1.5
0.8

What is the average diastolic blood pressure for adults

Prove (a) cosh2(x) − sinh2(x) = 1 and (b) 1 − tanh 2(x) = sech 2(x). solution (a) cosh2(x) − sinh2(x) = ex + e−x 2 2 − 2 = e2x + 2 + e−2x 4 − = 4 = . (b) we start with the identity proved in part (a): cosh2(x) − sinh2(x) = 1. if we divide both sides by cosh2(x), we get 1 − sinh2(x) cosh2(x) = 1 or 1 − tanh 2(x) = .

The upcoming championship high school football game is a big deal in your little town. the problem is, it is being played in the next biggest town, which is two hours away! to get as many people as you can to attend the game, you decide to come up with a ride-sharing app, but you want to be sure it will be used before you put all the time in to creating it. you determine that if more than three students share a ride, on average, you will create the app. you conduct simple random sampling of 20 students in a school with a population of 300 students to determine how many students are in each ride-share (carpool) on the way to school every day to get a good idea of who would use the app. the following data are collected: 6 5 5 5 3 2 3 6 2 2 5 4 3 3 4 2 5 3 4 5 construct a 95% confidence interval for the mean number of students who share a ride to school, and interpret the results. part a: state the parameter and check the conditions. part b: construct the confidence interval. be sure to show all your work, including the degrees of freedom, critical value, sample statistics, and an explanation of your process. part c: interpret the meaning of the confidence interval. part d: use your findings to explain whether you should develop the ride-share app for the football game.