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1. At a certain gas station, a total of 500 gallons of gas was sold on a particular day. Regular gas (x) sells for $2.25 per gallon. Premium gas (y) sells for $3.00 per gallon. The total gas receipts for the day was $1,233.75.
(a) Write an equation in x and y for the number of gallons of gas sold.
(b) Write an equation in x and y for the amount of money received.
(c) Write the augmented matrix for (a) and (b).
(d) Solve for x and y using the augmented equation and Gaussian elimination. Annotate each step you take to get to your answer.
(e) Verify that your answer is correct by putting x and y into the equations you derived in (a) and (b).
What is the difference between the critical-value method and the p-value method of hypothesis testing?
Find the centre of mass of the solid bounded by the cone z2 = X2 + y2 and above by the sphere X2 + y2 + z2 = 2az and whose density is kz.
Baby Weights Three-month-old Benjamin Chance weighed 13.3 pounds. The national average for the weight of a 3-month-old baby is 12.5 pounds, with a standard deviation of 1.5 pounds. Round your answers to two decimal places. a. Determine the z- score f..
Identify one or more control procedures (either general or application controls, or both) that would guard against each of the following errors or problems.
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If the compant plans to increase monthly advertising expenditures at the rate of 1.5 thousand dollars per month, how fast will sales rise?
air pollution control specialists in southern california monitor the amount of ozone carbon dioxide and nitrogen
Let A and b be two subsets of a metric space R. Then the number P(A,B)=infP(a,b) (where a is in A, b is in B,) is called the distance between A and B. Show that P(A,B0=0 if A intersect B does not equal to an empty set, but not conversely.
If a plant was designed to produce 7,000 hammers per day but is limited to making 6,000 hammers per day because of time needed to change equipment between styles of hammers, what is the utilization? Format as xx.x% (include the % sign.)
Evaluate the integral (x+y) over the path C, where C is the straight line segment x=4t, y=(16-4t), z=0 from (0,12,0) to (12,0,0).
How far should its base set away from the building wall? Explain your answers and show your calculation. NOTE: You may need to apply the Pythagorean Theorem when solving this question.
Express the cost of fencing as a function of the length x of a side perpendicular to the wall.
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