A gas station earns $3.10 in revenue for each gallon of regular gas it sells, $3.40 for each gallon of midgrade gas, and $3.90 for each gallon of remium gas. Let X1, X2, and X3 denote the number of gallons of regular, midgrade, and premium gasoline sold in a day. Assume 1,X2, and X3have means µ̟ = 1600, µz = 400, andµ3 = 300, and standard deviations o, = 160, ơ2 = 90, and 0z = 50, respectively. hen the daily revenue can be expressed as R = 3.10X, + 3.40X2 + 3.90X3. Find the mean daily revenue, that is find E (R). Assuming X1,X2, andX3 are independent, find the standard deviation of the daily revenue, ơr. Round to two decimal places. Assuming X1,X2, andX3 are independent and normally distributed with the respective means and standard deviations given above, find probability that the daily revenue exceeds $7,000. a. b. с.

Each row represents an experimental “run” (in this case, averaged sample of mango wine). Column A shows the run number; Column B shows the percentage of ethanol; Column C shows the amount of glycerol (in g/L); Column D shows the amount of acid (in g/L); Column E shows the temperature of the run (in °C); and Column F shows the pH of the run. Y represents Ethanol of mango wine. 1. Create a scatterplot of the ethanol data for all 20 runs  a. Draw a graphical representation of the model that you chose to use. b. Comparing the model to your data, evaluate its fit in one or two sentences. (Not sure what this question is getting at. I've provided all the information given) c. Replace the generic Yi = β0 + ε with the information you have here. Please help. I have no idea what this even means or where to start. HERE is the attached dataset to start with;    a          b             c              d            e           f Run Ethanol Glycerol Acidity Temp pH 1 4.8 3.5 0.84 24 3.8 2 9.6…

Assume a varies directly as b². If b is doubled, how will it affect a. Explain your answer in detail and upload your solution. Upload Choose a File Question 7 The mass of the sun is approximately 2 x 1030 kilograms, and the mass of the Earth is approximately 6 x 1024 kilograms. How many more times greater is the mass of the sun than the mass of the Earth? Explain your answer in detail and upload your solution. Upload Choose a File Question 8 JAN 14 MacBook Air

Which values should you plot to show a linear relationship? Month Population Log(population) 1 1400 3.146 2600 3.415 4700 3.672 4 9000 3.954 17000 4.230 6. 32000 4.505 2. 3. 寸 5.