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Find a number in the interval [1/2, 3/2] such that the sum of thee number and its reciprocal is as large as possible.
Determine the probability without replacement
A landscaper wants to combine golden landscape rock with rust-colored landscape rock to make a mix. The golden rock costs $0.59 per pound and the rust-colored rock cost $0.49 per pound.
A recent data showed that 78% of the statistics students pass the class. If we randomly select 20 statistics students, what is the probability that exactly half of them would pass?
What Increase in the objective function coefficients in this model would change the optimal solution point? Explain your answer.
A sample of a radioactive substance decayed to 91% of its original amount after a year. What is the half-life of the substance?(Round your answers to two decimal places.)
A mirror in the shape of a paraboloid of revolution. If a light source is located 1 foot from the base along the axis of symmetry and the opening is 2 feet across, how deep should the mirror be?
A rectangular carpet has a perimeter of 218 inches. The length of the carpet is 87 inches more than the width. What are the dimensions of the carpet?
Given the table above, graph the function, identify the graph of the function (line, parabola, hyperbola, or exponential), explain your choice, and give the domain and range as shown in the graph, and also the domain and range of the entire functi..
7 a day with unlimited mileage. A discount firm offers a similar car for $24 a day plus 22 cents per mile. How far must you drive in a day in order for the cost to be the same at both firms?
the graph of the circle of the equation below is a circle. What is the length of the radius of the circle?
When Mike throws the frisbee there is a 0.65 probability that Sally gets it, a 0.27 probability that it comes back to Mike, and a 0.08 probability that the dog runs away with the frisbee.
a triangle drawn on a map has sides of lengths 8 cm, 11 cm, and 14 cm. The shortest of the corresponding real-life distances is 105 km. Find the longest of the real-life distances.
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