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A ball of radius 12 has a round hole of radius 5 drilled on an axis through its center. Find the volume of the resulting solid.
Use the definition finition of the derivative to find f'(x) given f(x) = sqrt(x). What is the maximum height attained by the ball?
Discrete Random Variable Defined on a Finite Sample Space. a) Prove that if X is a discrete random variable defined on a finite sample space, S, then we have E(X) = SUM X(a) P({a}).
The equation of tangent line.
In a group of 97 students, the number taking English is twice the number of those taking Math. 53 students are taking one of these subjects and 15 are taking neither. How many students are taking math? How many are taking English?
Suppose a business purchases a new tractor at an original cost of $42,000. Further, suppose this tractor has a useful life of 8 years and a salvage value of $10,000.
A swimming pool is 22 feet wide and has transverse cross-sections,being filled at a rate of 1.1 cubic feet per minute, how fast is the water level rising when the depth of water is 1 feet?
The function f is graphed below on the interval [0,10].Give the number of valuesc between 0 and 10 which satisfy the conclusion of the mean value theorem for f.
If the teachers receive an average salary increase of $1096, write out the first 6 terms of the sequence formed by the average salaries starting with the 1999-2000 school year. Explain how you got your answer.
Joint and Marginal Probability Distributions, Person takes bus & subway to work. Bus runs every 20 min (X) & subway every 4 min (Y).
What is the probability that the nut fits the bolt? (Note: the sample space consists of all pairs of nuts and bolts, and each pair is equally likely to be chosen.)
Rule of Probability, A study of 203 advertising firms revealed their income after taxes: What is the probability an advertising firm selected at random has under $1 million in income after taxes? (Round your answer to 2 decimal places.)
The correlation between Age Score and External is more significant than the correlation between Age Score and Competence. True or False?
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