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What is the difference between a permutation and a combination? What are some practical examples of when you would use each?
The area of a sector in a circle is given by the formula: A=1/2r2θ, where r is the radius and θ is the central angle measured in radians. Find the rate of change of A with respect to θ if r remains constant. What is the rate when r=3?
Failures per day for a computer network follow the Poisson distribution with mean 0.3. What is the probability that two or more failures occur in
the frequency distribution below shows the distribution for suspended solid concentration in ppm in river water of 50
A probability density function which is nonzero only between x = 2 and x = 7.
Two posts, one 6m high and the other 9m high, stand 20m apart. They are to be stayed by two wires, attached to a single stake, running from the ground level to the top of each post. Where should the stake be placed to use the least wire?
two cars leave a city and heads in the same direction after 6 hours the faster car is 30 miles ahead of slower car.
If a picture frame costs $30 and the tax on the frame is 6% of the cost, how much is the tax on the picture frame?
Estimate the expected number of integers with 1000 digits that need to be selected at random to find a prime, if the probability a number with 1000 digits is prime is approximately 1/2302.
Assume that Tom attends class randomly with probability 0.55 and that each decision is independent of previous attendance, so that the process can be viewed as a Bernoulli process.
an engineer is asked to design a water sprinkler that will cover a field of 100 square yards that is in the shape of a
Adams High School has 151 freshman, 198 sophomores, 221 juniors, and 242 seniors. If two students are selected at random without replacement, what is the probability of selecting a freshman on the first selection and a senior on the second selecti..
The table gives the position of a particle moving along the x-axis as a function of time in seconds, where x is in angstroms.
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