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Suppose 40 people have heard a rumour by 8am in a town of 9,000 people. Assume that the spread of the rumour follows the logistic equation, dP/dt=kP(1-P/C)
a) Given that 100 people have heard the rumour by 12 noon, determine how long it takes for half the population to have heard the rumour. Enter your answer in hours rounded to exactly one decimal place?
b) How many people have heard it by 8pm? (Hint: You must round your answer down to get the appropriate integer.)?
957 randomly selected light bulbs were tested in a laboratory, 491 lasted more than 500 hours. Find a point estimate of true proportion of all light bulbs that last more than 500 hours.
How fast is the height of the water increasing when the water has filled 2 feet of the deep end?
A box contains four balls, numbered 1 through 4. One ball is selected at random from this box. Let X1 = 1 if ball 1 or ball 2 is drawn
What is 0.000000512 written in a scientific notation
an equilateral triangle has vertices at 00 and 60 in acoordinate plane. what are the coordinates of the third vertex?
Find the shortest path between the vertices a and z that passes through the vertex f in the weighted graph in Exercise 3 in Section 10.6.
An experimenter has conducted a single-factor experiment with six levels of the factor, and each factor level has been replicated three times. The computer value of the F-statistic is F0=3.26. Find bounds on the P-value.
Consider the Poisson equation uxx = f on the interval (0,1) subject to the boundary conditions ux(0) = α (Neumann), and u(1)= β (Dirichlet). Find the solution using Green's Function approach.
randomly selected nonfatal occupational injuries and illnesses are categorized according to the day of the week that
Convert the integral to rectangular coordinates with the order of integration dz dx dy. Convert the integral to spherical coordinates. Evaluate one of the integrals.
when to take a driving license in roy and rogers driving school in trollhattan the theory and the mandatory driving
Experiment with the Example function in the Lesson Commentary using the Solver. Try out different constraints and initial guesses, modify the settings, and so on.
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