Each gallon of regular gasoline must contain at least 40% of ingredient a, whereas each gallon of high octane must contain at most 50% of ingredient b. daily demand for regular and high octane gasoline is 800,000 and 500,000 gallons respectively. how many gallons of each type of crude should be used in the two gasolines to satisfy daily demand at a minimum cost? structure as a linear programming problem.

Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e.g. 98.76543).

Whats are the trickiest steps to do when adding or subtracting rational expressions? how does knowledge of rational numbers u in adding and subtracting rational expressions?

Larry wants to buy some carpeting for his living room. the length of the room is 4 times the width and the total area of the room is 16 square meters. what is the length of the living room