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Prove that c is lim sup an if and only if there is a subsequence of {an} which converges to c, but there is no subsequence of {an} which converges to a number greater than c.
Suppose the growth rate of population is 0.7944 per member per day. Let the population have 2 members on day zero. Find the population size at the end of 5 days.
in a study of 11000 car crashes, it was found that 5599 of them occured within 5 miles of home (based on insurance company data). use a 0.01 significance level to test the claim that more than 50% of car crashes occur within 5 miles of home.
f(x)= the square root of x^2+1 and [0,4] . Use the midpoint rule with 4 rectangles to approximate the area bounded by f(x) and the x axis.
The number of rabbits in a forest varies with time. During the period of 1980 to 1990 the number is given approximately by the formula where t is the number of years after 1980. (a) Sketch on graph paper the population during 1980-1990
A random sample of size 10 bulbs is selected from the storage room, what is the probability that exactly 4 of the bulbs will have a lifetime less than 16 days?
how many samples of 3 apples can be drawn from the crate? how many samples of 3 could be drawn in which all 3 are rotten?
Determine whether the series is convergent or divergent: 9/(n(n+2)) from n=1 to infinity.
Imagine that the earth is a perfect sphere, and that a metal wire is wrapped around its equator, fitting snugly against the surface. Now imagine that we cut this wire in one spot and splice in an additional 100 meters of wire
Let G = UT (n,F) be the set of the upper triangular n x n matrices with entries in a field F with p elements and 1's on the diagonal. The operation in G is matrix multiplication.
find the z-score such that the area under the standard normal curve to the left is 0.23.
Develop a joint probability table and show the marginal probabilities. What is the probability of a household whose income exceeds $40,000 and who rejects the offer?
Finding the elasticity of demand at given quantity and price - Is the price elastic, inelastic, or has unit elasticity
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