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One professor grades homework by randomly choosing 5 out of 15 homework problems to grade.
(a) How many different groups of 5 problems can be chosen from the 15 problems? groups
(b) Probability extension: Jerry did only 5 problems of one assignment. What is the probability that the problems he did comprised the group that was selected to be graded? (Round your answer to four decimal places.)
Assume Gary is at rest at noon, then accelerates at a constant rate of 3 ft/sec^2. Find the parametrization of the motion in terms of t, seconds after noon. How long does it take to reach a height of 500 feet?
Sodas in a can are supposed to contain an average 12 oz. This particular brand has a standard deviation of 0.1 oz., with an average of 12.1 oz. If the contents in the population of all cans follow a normal distribution, what is the probability tha..
Give a counter example and then prove why, i.e., a metric space and a sequence, that disproves the claim: Every Cauchy sequence converges.
Assume that the spinner cannot land on a line. Determine the probability that the spinner lands on (a) red, (b) green, (c) yellow, (d) green. The spinner is divided into 8 halves. There are (a) red = 4, (b) green = 1, (c) yellow = 1, and (d) blue = ..
Calculate the derivative of trigonometric function.
What is the probability it would be a student, a faculty member, an admin staff member, a faculty or admin staff member and anyone except an admin staff member?
Find the gradient of f(x,y) at (3,2). Compute the directional derivative (triangle u) f(3,2) where u is the unit vector in the direction of v =
For a fish swimming at a speed v relative to the water, the energy expenditure per unit time is proportional to v^3. It is believed that migrating fish try to minimize the total energy required to swim a fixed distance.
You have to perform a reliability analysis of the downtime data.
Finding coefficient
Determine the vertical and horizontal asymptotes and sketch the graph of the rational function F. Label all intercepts and asymptotes.
Regrind, Inc. regrinds used typewriter platens. The cost per platen is $2.40. The fixed cost to run the grinding machine is $92 per day. If the company sells the reground platens for $4.40, how many must be reground daily to break even?
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