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Question: Suppose that x measures the time (in hours) it takes for a student to complete an exam. All students are done within two hours and the density function for x is
(a) What proportion of students take between 1.5 and 2.0 hours to finish the exam?
(b) What is the mean time for students to complete the exam?
(c) Compute the median of this distribution.
Continental charges $20 per day in addition to $.50 per mile to rent out the same truck. How many miles must you drive in a day to make the rental cost for basic rental a better deal than that for continental?
Think about the requirment to solve this problem using only seventeenth- and eighteenth-century tools and methodologies. List and discuss some of the constraints that imposes.
To prove that the minimal spanning tree in graph is unique and Decide whether you think the claim is true or false and give a proof of either the claim or its negation.
If the probability that an identified hurricane will make a direct hit on a certain stretch of beach is 0.01, what are the odds against a direct hit?
Task: Apply curve-fitting techniques and interpret the results. As such, your work will include doing scatterplots, determining the equation and graph of the curve on the scatterplot, finding the r^2 value,
Solve the consumer demand problem, max v(x) + v(y) subject to px + qy = m.
In a study of 400 meals served at 75 campus cafeterias, 20 had less than 10 grams of fat but not less than 350 calories; 6 had less than 350 calories but not less than 10 grams of fat; 186 had over 350 calories and over 10 grams of fat.
Express the retailer's monthly profit from the sale of the cameras as a function of the selling price. Estimate the optimal selling price.
Given that the acceleration due to gravity is -32 ft/sec^2, how high is the stone 6 seconds later?
In an experiment, a 5-kg mass is suspended from a spring. The displacement of the spring-mass equilibrium from the spring equilibrium is measured to be 75 cm.
The dimensions of a closed rectangular box are measured as 89 cm, 53 cm, and 35 cm, respectively, with a possible error of 0.2 cm in each dimension. Use differentials to estimate the maximum error in calculating the surface area of the box.
A ball drops from a height of 23 feet. Each time it hits the ground, it bounces up 65 percents of the height it fall. Assume it goes on forever, find the total distance it travels.
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