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The population of the Earth is approximately 6 billion people and is growing at an annual rate of 1.9%. Assume the growth follows a Malthusian model. By what factor will the current population of the Earth increase in 119 years? (Round your answer to one decimal place.)
Drawing at least one black card when you draw a card from a standard deck 6 times, replacing the card each time you draw so that there are always 52 cards in the deck.
In a large study of 1000 entries, 40 errors were found. Does the data support the null hypothesis based upon this experience?
If a blueprint 1/4 inch equals 12 inches, what is the actual length in feet of a steel bar represented on the blue print by a line 3 3/8 inches long?
List all the binary relations on the set {0,1}. List the reflexive relations on the set {0,1}.
Once you have the graph of a line, how can you find its slope? Does it matter which points you choose to find the slope? Does the slope vary depending on your choice of points?
Prove that if M is a maximal ideal of S and phi is surjective then phi^-1(M) is maximal ideal of R. Give an example to show that this need not be the case if phi is not surjective.
Find all lines through the point (2,1) that are tangent to parabola y=xsquared. What properties of parabolas and formulas do you use to solve this problem?
Prove that if f is a differentiable function with f´(x) > 1 for all x, then there is at most one c such that f(c) = c. [Use the Mean Value Theorem]
A control system has a time constant, τ ( = 1/t)), where t satisfies the equation 10e-2t = 2Sin2t + 3. Show that this equation has a solution between t = 0 and t = 1.
Let (X, E, u) be a measure space with u a non-negative measure. Suppose that Prove that f (x) = 0 a.e. with respect to u.
A weight-loss program guarantees, "You'll lose weight within two weeks or we'll refund your money plus $10!" Using α = 5%, perform the sign test of the median paired difference to determine whether the median weight of these twelve participants decre..
How might you involve children in learning geometric concepts? Which geometric concept do you think will be most difficult for children to learn and why?
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