Concept explainers
The population data for a certain country are given here.
Plot the data and obtain a function that describes the data. Estimate when the population will be double its 2005 size.
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System Dynamics
- 1. Circle weather the following statements are true or false. If the statement is true justify your reasoning if the statement is false correct the statement to make it true or justify why it is false a. Impulse is the integral of a force vs distance graph b. In two dimensions analyzing linear and angular momentum provides up to three scalar equations. c. Linear acceleration and angular acceleration both have units of ft/s^2 or m/s^2 d. When absolute motion or a rigid body it is important to find a function that relates linear and angular position then integrate to find velocity e. Instantaneous centers can only be determined for velocity and only for a snapshot in timearrow_forward2 balls are drawn in a succession without replacement from an urn containing 5 white balls and 6 black balls.Let b be the random variable representing the number of black balls.construct the probability distribution of the random variable B.arrow_forwardGiven: N=3,000, n1=200, c1=10, r1=14, n2=300, c2=20, r2=21. Write the formula of the probability of acceptance. If a certain lot with 2.0 % non-conforming, what is the probability of rejecting the lot during the second sampling?arrow_forward
- As an industrial engineer, you intend to use linear trend (or linear regression) method to solve a forecasting problem. You have decided to use the equation of y = m(x) + c to establish the relationship between the sales (y) and the related month (x). It is known that 8 consecutive months data (Jan to Aug) were used and they resulted to the following parameter values of m = 320 and c = 1017. Using the regression technique, estimate the percentage of sales improvement from December this year to June next year.arrow_forwardUse the equations for the total cost C and total revenue R to find the number x of units a company must sell to break even. (Round to the nearest whole unit.) C = 8750x + 270,000, R = 9558xarrow_forwardKinetic energy of a fluid flow can be computed by ∭V12ρv⋅vdV, where ρ(x,y,z) and v(x,y,z) are the pointwise fluid density and velocity, respectively. Fluid with uniform density 1 flows in the domain bounded by x2+z2=9 and 0≤y≤6π. The velocity of parabolic flow in the given domain is v(x,y,z)=(9−x2−z2)j⃗ . Find the kinetic energy of the fluid flow.arrow_forward
- Study the table to the right and then answer these questions by filling in the blank columns in the table.1. Convert the miles per gallon figures in the table tokilometers per liter (kpl).2. How many liters (and how many gallons) of gasolinewould each type of car use annually if it were driven19,300 kilometers (12,000 miles) per year?3. How many kilograms (and how many pounds) of carbon dioxide would be released into the atmosphereannually by each car, based on the fuel consumptioncalculated in question 2? Assume that the combustion of gasoline releases 2.3 kilograms of CO2 per liter(19 pounds per gallon).arrow_forwardThe drag on an airplane wing in flight is known to be a function of the density of air (), the viscosity of air(), the free-stream velocity (U), a characteristic dimension of the wing (s), and the shear stress on the surface of the wing (s). Show that the dimensionless drag, sU2, can be expressed as a function of the Reynolds number, Us.arrow_forwardA chemical engineer desiring to study the evaporation rate of water from brine evaporation beds obtained data on the number of inches of evaporation in each of 55 July days spread over 4 years. The data are given in the following stem and leaf plot, which shows that the smallest data value was 0.02 inch, and the largest 0.56 inch. Stem Leaf 0.0 2, 6 0.1 1, 4 0.2 1, 1, 1, 3, 3, 4, 5, 5, 5, 6, 9 0.3 0, 0, 2, 2, 2, 3, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 7, 8, 9 0.4 0, 1, 2, 2, 2, 3, 4, 4, 4, 5, 5, 5, 7, 8, 8, 8, 9, 9 0.5 2, 5, 6 Find the: a) sample mean; b) sample median; c) sample standard deviation of these data. d) Do the data appear to be approximately normal? e) What percentage of data values are within 1 standard deviation of the mean?arrow_forward
- Customers arrive at a bakery at an average rate of 18 per hour on weekday mornings. Thearrival distribution can be described by a Poisson distribution with a mean of 18. Each clerkcan serve a customer in an average of three minutes; this time can be described by an exponential distribution with a mean of 3.0 minutes.a. What are the arrival and service rates?b. Compute the average number of customers being served at any time.c. Suppose it has been determined that the average number of customers waiting in lineis 8.1. Compute the average number of customers in the system (i.e., waiting in lineor being served), the average time customers wait in line, and the average time in thesystem.d. Determine the system utilization for M = 1, 2, and 3 servers.arrow_forwardFind the local maximum and minimum values and saddle point(s) of the function. You are encouraged to use a calculator or computer to graph the function with a domain and viewpoint that reveals all the important aspects of the function. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) f(x, y) = 9 sin(x) sin(y), −? < x < ?, −? < y < ? local maximum value(s) local minimum value(s) saddle point(s) (x, y) =arrow_forwardThe following table lists molecular weight data for a polypropylene material. Compute the number-average molecular weight, Molecular Weight Range (g/mol)//// xi////// wi 8,000–16,000//// 0.05/// 0.02 16,000–24,000 ///0.16// 0.10 24,000–32,000 ///0.24// 0.20 32,000–40,000 ///0.28// 0.30 40,000–48,000 ///0.20// 0.27 48,000–56,000 ///0.07// 0.11 Round your answer to 0 decimal places.arrow_forward
- Principles of Heat Transfer (Activate Learning wi...Mechanical EngineeringISBN:9781305387102Author:Kreith, Frank; Manglik, Raj M.Publisher:Cengage Learning