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A closed cylindrical can is to be designed so that the can will hold 170cm^3 of oil. Find the dimensions of the can which requires the least amount of metal.
a slice of pie with a scoop of ice cream has 850 calories. The calories in the pie alone are 100 more than twice the calories in the ice cream alone. How many calories are in each food?
Probability of having breast cancer. p(BC). Probability of having BC given the mammogram is positive. p(BC/positive mammo), Probability of having a positive mammogram given a person has BC. P(pos mammo/BC)
Let A be a complex number and B a real number. Show that the equation |z|^2+Re(Az)+B=0 has a solution if and only if |A|^2 >= 4B. If this is so, show that the solutions set is a circle or a single point.
person jogs 430 kj of work and gives off 380kj heat what is the interal energy?
At university , all first-year students must take chemistry and math. Suppose 15% fail chemistry, 12% fail math, and 5% fail both. Suppose a first-year student is selected at random. What is the probability that student selected failed at least on..
A biologist took a count of the number of migrating geese in a state park and recounted the park's population of geese for each of the next six weeks.
Resigning Probabilities, A company finds that on average 20% of all new employees resign during their first year of employment
A 28-year-old man pays $157 for a one-year life insurance policy with coverage of $140,000. If the probability that he will live through the year is 0.9994, what is the expected value for the insurance policy?
Find the altitude of a parallelepiped determined by vectors A, B, and C if the base is taken to be the parallelogram determined by A and B and
Given a rational function, identify a method which can be used to determine if there is a vertical asymptote.
A cylinder is inscribed in a right circular cone of height 3.5 and radius (at the base) equal to 2.5. What are the dimensions of such a cylinder which has maximum volume?
what is the present value of R1 000 to be received in 10 year's time assuming a discount rate of 12% per annum?
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