Concept explainers
Use the data in Exercise
22. In 1969, the National Academy of Sciences published a study titled "Resources and Man." That study places "the earth's ultimate carrying capacity at about 30 billion people, at a level of chronic near-starvation for the great majority (and with massive immigration to the now less-densely populated lands)!" The study goes on to state that 10 billion people is "close to (if not above) the maximum that an intensively managed world might hope to support with some degree of comfort and individual choice." The world population in 1990 was 5.283 billion; in 2000, it was 6.082 billion.
a. Develop the mathematical model that represents world population.
b. Use the model to predict when world population would reach the "somewhat comfortable" level of 10 billion.
c. Use the model to predict when world population would reach "the earth's ultimate carrying capacity" of 30 billion.
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Chapter 10 Solutions
MATHEMATICS A PRACTICAL ODYSSEY W/ACCESS
- How can I prepare for me Unit 3 test in algebra 1? I am in 9th grade.arrow_forwardiid B1 Suppose X1, ..., Xn fx(x), where 2 fx(x) = x exp(−x²/0), 0<< (0 otherwise). (a) Find the maximum likelihood estimator of 0. (b) Show that the MLE is an unbiased estimator of 0. (c) Find the MSE of the MLE. Hint: For parts (b) and (c), you may use integration by parts.arrow_forward2. The size of a claim is modelled by F(a, λ) with a fixed a a maximum likelihood estimate of A given a sample x with a sample mean x = 11 = 121. Give [5 Marks]arrow_forward
- Robbie Bearing Word Problems Angles name: Jocelyn date: 1/18 8K 2. A Delta airplane and an SouthWest airplane take off from an airport at the same time. The bearing from the airport to the Delta plane is 23° and the bearing to the SouthWest plane is 152°. Two hours later the Delta plane is 1,103 miles from the airport and the SouthWest plane is 1,156 miles from the airport. What is the distance between the two planes? What is the bearing from the Delta plane to the SouthWest plane? What is the bearing to the Delta plane from the SouthWest plane? Delta y SW Angles ThreeFourthsMe MATH 2arrow_forwardFind the derivative of the function. m(t) = -4t (6t7 - 1)6arrow_forwardFind the derivative of the function. y= (8x²-6x²+3)4arrow_forward
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