An experimental self-driving car is observed as it moves back an forth on a straight stretch of road. The car's velocity ( measured in meters per second) is a function of time (measured in seconds). The velocity is shown in the graph below. Positive velocities mean the car is moving toward the east and negative velocities mean its motion is toward the west. Using the values given below for the labeled areas in the graph, determine how far east of its starting position the car was at the end of t = 10 seconds. A = 2 B = 8 C = 15 Velocity in meters per second C Time t = 10 В seconds

Emissions of sulfur dioxide by industry set off chemical changes in the atmosphere that result in "acid rain". The acidity of liquids is measured by pH on a scale of 00 to 14.14. Distilled water has pH 7.0,7.0, and lower pH values indicate acidity. Normal rain is somewhat acidic, so acid rain is sometimes defined as rainfall with a pH below 5.0.5.0. The pH of rain at one location varies among rainy days according to a Normal distribution with mean 5.435.43 and standard deviation 0.54.deviation 0.54. What proportion of rainy days have rainfall with pH below 5.0?5.0?

The following data represent the muzzle velocity​ (in feet per​ second) of rounds fired from a​ 155-mm gun. For each​ round, two measurements of the velocity were recorded using two different measuring​ devices, resulting in the following data. Complete parts​ (a) through​ (d) below. Observation 1 2 3 4 5 6   A 790.2 793.3 791.6 793.9 794.7 793.1   B 794.8 789.0 796.2 793.5 802.9 791.3   ​(a) Why are these​ matched-pairs data?     A. All the measurements came from rounds fired from the same gun.   B. Two measurements​ (A and​ B) are taken on the same round.   C. The measurements​ (A and​ B) are taken by the same instrument.   D. The same round was fired in every trial. ​(b) Is there a difference in the measurement of the muzzle velocity between device A and device B at the α=0.01level of​ significance? ​Note: A normal probability plot and boxplot of the data indicate that the differences are…