Indicate clearly the methods you use, because you will be graded on the correctness of your methods, as well as on the accuracy of your results and explanation. for part a, briefly describe the scatterplot you construct on your calculator (include labels). animal-waste lagoons and spray fields near aquatic environments may significantly degrade water quality and endanger health. the national atmosphere deposition program has monitored the atmosphere ammonia at swine farms since 1978. the data on the swine population size (in thousands) and atmospheric ammonia (in parts per million) for one decade are given below. year 1988 1989 1990 1991 1992 1993 1994 1995 1996 199 swine population 0.38 0.50 0.60 0.75 0.95 1.20 1.40 1.65 1.80 1.85 atmospheric ammonia 0.13 0.21 0.29 0.22 0.19 0.26 0.36 0.37 0.33 0.38 a) construct a scatterplot for this data. (find out from your instructor on how to submit your scatterplot). b) the value for the correlation coefficient for this data is 0.85. interpret this value. c) based on the scatterplot in part (a) and the value of the correlation coefficient in part (b), does it appear that the amount of atmospheric ammonia is linearly related to the swine population size? explain. d) what percent of the variability in atmospheric ammonia can be explained by swine population size?

Astudent simplified a rational expression as shown.

Solve the given system of equations. 2y= -x+9 , 3x-6= -15

Complete the worksheet. use 3.14 for π and round all decimals to the nearest hundredth.find the volume of the composite three-dimensional figure above. important terms are written in bold.1. the pyramid has a square base that is inscribed in the circular base of the cone. draw an image of the composite shape of the base. 2. if the side length of the square base is 8 units long, what is the diameter of the circular base of the cone from the picture in number 1? 3. now that the diameter has been calculated, what is the circular area of the cone? ignore the square base of the pyramid.? 4. what is the formula for volume of a cone? 5.to calculate the volume of the cone, the height is still needed. if the cone has a lateral surface with a length of 13 units, what is the height of the cone? 6.now find the volume of the cone. do not include the empty space for the pyramid. 7.. the side length of the square base of the pyramid is 8 units long. what is the base area of the pyramid? 8.what is the formula for the volume of a pyramid9. since the cone and the pyramid share the same vertex, what is the volume of the pyramid10.using the volume of the cone and the pyramid, find the volume of the composite shape. remember, the pyramid is empty. 11,. referring to the picture in number 1, what is the area of the composite base knowing that the square is empty? 12what is the formula to find the lateral surface area of a cone? (13find the lateral surface area of the cone14what is the lateral surface area shape of the pyramid? what is the formula for its area? 15to find the lateral surface area of the pyramid the length is still needed. calculate the lateral surface length of the pyramid. 16 now that the lateral surface length is known, what is the lateral surface area of the pyramid17. using the lateral surface areas of the cone and pyramid, along with the area of the composite base, what is the total surface area?