How many Tribbles are on the space station after 3 days (72 hours)?Was Spock's calculation correct? Select an answer Here are Spock's given assumptions of Tribble population growth:* Initial population = 1* 3 days on Space Station* No deaths while on board* 10 offspring per litter of Tribles* 12 hours between generations* All individuals can have babies (Dr. McCoy says, "They are born pregnant.")Using these assumptions complete the following table for the number of Tribbles at a given time.time (hours)| роpulation11211243648

Answered: Here are Spock's given assumptions of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Example 4 Estimate the population at 2000 using the following data by Declining growth and Curve fitting methods. 1970 10,000 Year 1980 1990 2000 Pop. number 15,000 18,000 ??,???
Requesting answers for d, e and f. 1. The number of pounds of steam used per month by a chemical plant is thought to be related to the average ambient temperature (in F) for that month. The past year’s usage and temperatures are in the following table: Month Temp Usage/1000 Month Temp Usage/1000 Jan 21 185.79 Jul 68 621.55 Feb 24 214.47 Aug 74 675.06 Mar 32 288.03 Sept 62 562.03 Apr 47 424.84 Oct 50 452.93 May 50 454.58 Nov 41 369.95 Jun 59 539.03 Dec 30 273.98 d. Suppose that the monthly average temperature is 47 F. Calculate the fitted value of y and the corresponding residual. e. Test for significance of regression using α=0.01 (Use ANOVA). f. Calculate the r2 of the model and also find a 99% CI for β1.
An arborist creates a table of different tree height patterns over a 4 year period. Time Fig Palm Maple 0 8 7 5 1 14 9.8 6 2 20 13.7 10.2 3 26 19.2 17.3 Which of the trees has an exponential growth pattern? Which of the following statements are true? Select all that apply.A. For exponential models, the difference between consecutive entries in the table is a constant.B. For exponential models, the relative change from one time to the next is always a constant.C. For exponential models, the absolute change from one time to the next is always a constant.D. For exponential models, the ratio of consecutive entries in the table is a constant.E. None of the above statements is true.
Suppose that the PDF for the number of years it takes to earn a Bachelor of Science (B.S.) degree is given as in the table below. P(x) 3 0.05 4 0.40 0.25 0.20 0.10 On average, how many years do you expect it to take for an individual to earn a B.S.? (Enter your answer to two decimal places.) 4.95 X years Additional Materials
8. Exponential candy A student opened a bag of M&M'S® Chocolate Candies, dumped them out, and ate all the ones with the "M" on top. When he finished, he put the remaining 30 M&M'S back in the bag and repeated the same process over and over until all the M&M'S were gone. Here are data on the number of M&M'S remaining at the end of each of the first 6 courses. Course Number remaining 1 2 3 4 5 6 30 13 10 3 2 1 (a) Calculate an exponential model for these data using course as the explanatory variable. (b) Sketch the scatterplot, along with the exponential model. (c) Calculate and interpret the residual for the first course.
Carbon foot print: Carbon dioxide (CO, is produced by burning fossil fuels such as oil and natural gas, and has been connected to global warming. The following table presents the average amounts (in metric tons) of CO, emissions for certain years per person in the United States and per person in the rest of the world. Year Non-U.S. U.S. 1990 3.6 19.2 1992 3.5 18.8 1993 3.3 19.7 1994 3.3 19.8 1995 3.3 19.5 1997 3.4 20.0 1998 3.3 19.5 Source: World Bank Send data to Excel Part: 0 / 3 Part 1 of 3 Compute the least-squares regression line for predicting U.S. emissions from non-U.S. emissions. Round the slope and y- intercept to at least four decimal places. Regression line equation: y =
This exercise uses the population growth model. The population of a certain species of fish has a relative growth rate of 1.1% per year. It is estimated that the population in 2010 was 14 million. (a) Find an exponential model n(t) = noert for the population (in millions) t years after 2010. n(t) = (b) Estimate the fish population in the year 2015. (Round your answer to three decimal places.) million fish (c) After how many years will the fish population reach 17 million? (Round your answer to one decimal place.) yr (d) Sketch a graph of the fish population. n(t) n(t) (millions) (millions) 20 20 15 15 10 10 5 MAY 21 Pro
Consider the following table that gives the population of City A from Year 1 to Year 6. Complete all parts (a-k) to this question. Part 1: Fill-in the last two columns in the table. List your answers as a - j for the chart and answer the question k below. Round growth rate to the nearest ten-thousandth (4 decimal places). Population of City A, Year 1 to year 6 Year Population (P) Change ΔP{"version":"1.1","math":"<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>∆</mo><mi>P</mi></math>"} Growth Rate ΔPP{"version":"1.1","math":"<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mo>∆</mo><mi>P</mi></mrow><mi>P</mi></mfrac></math>"} 1 315,422 N/A N/A 2 320,421 a. b. 3 321,765 c. d. 4 322,162 e. f. 5 331,165 g. h. 6 331,200 i. j. Part 2: k. Does it make sense to fit this data with an exponential model? Why or why…

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