Consider the typical road network of Figure 1. It rep-resents an area of downtown Jacksonville, Florida. Thestreets are all one-way, with the arrows indicating the di-rection of traffic flow. The flow of traffic in and out ofthe network is measured in terms of vehicles per hour(vph). The figures given here are based on midweekpeak traffic hours, 7 A.M. to 9 A.M. and 4 P.M. to 6 P.M.An increase of 2 percent in the overall flow should be al-lowed for during the Friday evening traffic flow. Let usconstruct a mathematical model that can be used to ana-lyze this network.400 vph800 vph225 vphHogan Street>5Duval StreetMonroe Street250 vphFigure 1 Downtown Jacksonville, FloridaBLaura Street350 vph125 vph300 vph600 vph

Given :Consider the typical road network of Figure 1. It rep- resents an area of downtown…

Answered: Consider the typical road network 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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The following table shows the length, in centimeters, of the humerus and the total wingspan, in centimeters, of several pterosaurs, which are extinct flying reptiles. (A graphing calculator is recommended.) Pterosaur Data Humerus, x Wingspan, y Humerus, x Wingspan, y 27 576 32 589 33 605 35 745 25 559 24 552 23 472 22 461 18 411 17 410 1.5 36 1.4 30 1.3 29 0.9 28 0.8 24 (a) Find the equation of the least-squares regression line for the data. Round constants to the nearest hundredth. (b) Use the equation from part (a) to determine, to the nearest centimeter, the projected wingspan of a pterosaur if its humerus is 56 centimeters. cm
Consider the traffic flow described by the following diagram. The letters A through D label intersections. The data was obtained by counting the number of vehicles that travelled around the four one-way streets between the hours of 6 am to 10 am, and 2 pm to 6 pm during the mid-week peak traffic hours. The arrows in the diagram indicate the direction of flow of traffic in and out of the network that is measured in terms of number of vehicles per hour (vph). 3a) Write the system of linear equations for each intersection. 3b) Use Gauss-Jordan elimination to solve the system.
The Park family would like to prepare next month's family budget by forecasting its family expenses. The following data show the amount of money spent on food for the last 10 months. Complete parts a through d below. Month Dollars 1 343 2 357 3 294 The best choice is the a) Forecast the family's food expenditures next month using a three-period simple moving average. The forecast for the family's food expenditures next month is $ (Round to the nearest dollar as needed.) b) The forecast for the family's food expenditures next month is $ (Round to the nearest dollar as needed.) d) Which forecast should you choose? Why? 4 336 The forecast for the family's food expenditures next month is $ (Round to the nearest dollar as needed.) c) Forecast the family's food expenditures next month using exponential smoothing with a = 0.1. 5 361 because it has the 6 339 Forecast the family's food expenditures next month using a three-period weighted moving average with weights 0.7, 0.2, and 0.1, applying…
An engineer wants to determine how the weight of a gas powered car, x, affects gas mileage, y. The accompanying days represent the weights of various domestic cars and their miles per gallon in the city for the most recent model year. weight Miles per (pounds), x Gallon, y 3797 16 3897 16 2704 24 3608 20 3360 22 3040 22 3787 17 2618 24 3509 18 3798 16 3399 17 interpret the slope y-intercept, if appropriate. Choose the correct answer below for y hat = -0.00661x + 41.80 a) A weightless car will get ____ miles per gallon, on average. It is not appropriate to interpret the slope. b) for every pound added to the weight of the car, mileage in the city will…
Suppose a researcher collects data on the air pollution levels, measured in milligrams per cubic meter, for both urban and rural areas in 35 states. The data is plotted with urban air pollution levels on the horizontal axis and rural air pollution levels on the vertical axis. Nevada is an outlier in the ?x‑direction. What must be true about this state? The urban air pollution levels for this state are much higher or lower than the rest of the states in the data set. The rural air pollution levels for this state are much higher or much lower than the rest of the states in the data set. This state is an influential observation. The rural air pollution levels for this state are much higher or lower than other states in the data set that have similar urban air pollution levels. The absolute value of the residual of this state is large.
Consider the women's 100-yd dash (and the subsequent 100-m dash) in the Olympics since records have been kept. Determine the best way to combine all data and depict the data. Choose the correct answer below. O A. A line graph would be the best way to show all of the data over time, but some measurements would have to be converted to display the 100-yd and 100-m on the same graph. OB. A scatterplot would show the relationship between the 100-yd dash and the 100-m dash. O C. A stem and leaf plot would be the best way to show all of the data grouped by race times. O D. A histogram would show all of the data by comparing each year. The units of distance would not matter. Click to select your answer. 2:50 PM P Type here to search 3/10/202 Prt Scn End F10 PgUp Home F7 DII B F5 F6
A study was conducted to see if there was a linear relationship between the length in cm of seals in overhead photographs and their weight in kilograms. Below is the data: 4. Overhead 7.2 7.4 9.8 9.4 8.8 8.4 7.6 length Weight 116 154 250 200 197 194 170 а. If the length of a seal was 8.2 cm, what is its weight? b. Can you calculate the weight of a seal if it is 20 cm long?
Which of the below graphical representations tells us how closely the two variables are related and indicates the direction of the changes in respective variables? O a. Scatter diagram O b. Pie chart O c. Ogive O d. Histogram
A comparative Psychologist tests the amount of time it takes for mice to complete a maze as their dependent variable. What type of data would this be? a. ratio b. interval c. ordinal d. nominal
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