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Checkout Lines According to the article “How to Pick the Fastest Line at the Supermarket,” the amount of time (in seconds) you will be waiting in a checkout line has been approximated by Dan Meyer to be 41 seconds for each person in line ahead of you plus 3 seconds for each item ahead of you. (Data from: The New York Times, September 7,2016)
a. Find a formula
b. Find your waiting time in an express checkout line that has 5 people ahead of you, and each person has 10 items.
c. Find your waiting time in a regular checkout line that has only 2 people ahead of you, but each person has 40 items.
d. Is the express line in part (b) faster than the regular checkout line in part (c)?
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Chapter 14 Solutions
Mathematics with Applications In the Management, Natural, and Social Sciences (12th Edition)
- Compute the principal values of i¹² (i — 1)² and (i(i − 1))². - -arrow_forward1 2 3 Consider the matrix A = 0 4 5. Give an example of 006 (a) a nonzero matrix B for which det(A + B) = det(A) + det(B); (b) a matrix C for which det(A+C)det(A) + det(C).arrow_forwardFind all points at which f(z) = y² sin x + iy is analytic.arrow_forward
- Find all the values of 1-i.arrow_forward1. e² = 1+i. 2. cos z=3+ 4i Determine all complex numbers z such thatarrow_forward08:34 ◄ Classroom 07:59 Probs. 5-32/33 D ا. 89 5-34. Determine the horizontal and vertical components of reaction at the pin A and the normal force at the smooth peg B on the member. A 0,4 m 0.4 m Prob. 5-34 F=600 N fr th ar 0. 163586 5-37. The wooden plank resting between the buildings deflects slightly when it supports the 50-kg boy. This deflection causes a triangular distribution of load at its ends. having maximum intensities of w, and wg. Determine w and wg. each measured in N/m. when the boy is standing 3 m from one end as shown. Neglect the mass of the plank. 0.45 m 3 marrow_forward
- Chapter 4 Quiz 2 As always, show your work. 1) FindΘgivencscΘ=1.045. 2) Find Θ given sec Θ = 4.213. 3) Find Θ given cot Θ = 0.579. Solve the following three right triangles. B 21.0 34.6° ca 52.5 4)c 26° 5) A b 6) B 84.0 a 42° barrow_forwardLet f be a function whose graph consists of 5 line segments and a semicircle as shown in the figure below. Let g(x) = √ƒƒ(t) dt . 0 3 2 -2 2 4 5 6 7 8 9 10 11 12 13 14 15 1. g(0) = 2. g(2) = 3. g(4) = 4. g(6) = 5. g'(3) = 6. g'(13)=arrow_forwardThe expression 3 | (3+1/+1) of the following integrals? A Ов E + + + + 18 3+1+1 3++1 3++1 (A) √2×14 dx x+1 (C) 1½-½√ √ ² ( 14 ) d x (B) √31dx (D) So 3+x -dx is a Riemann sum approximation of which 5 (E) 1½√√3dx 2x+1arrow_forward
- Examine the Variables: Carefully review and note the names of all variables in the dataset. Examples of these variables include: Mileage (mpg) Number of Cylinders (cyl) Displacement (disp) Horsepower (hp) Research: Google to understand these variables. Statistical Analysis: Select mpg variable, and perform the following statistical tests. Once you are done with these tests using mpg variable, repeat the same with hp Mean Median First Quartile (Q1) Second Quartile (Q2) Third Quartile (Q3) Fourth Quartile (Q4) 10th Percentile 70th Percentile Skewness Kurtosis Document Your Results: In RStudio: Before running each statistical test, provide a heading in the format shown at the bottom. “# Mean of mileage – Your name’s command” In Microsoft Word: Once you've completed all tests, take a screenshot of your results in RStudio and paste it into a Microsoft Word document. Make sure that snapshots are very clear. You will need multiple snapshots. Also transfer these results to the…arrow_forwardQ4*) (make sure you first understand question P5) Discuss the extremisation of the integral I = = √(2(y + 2) ³y' + (x − 7)) c You may find point (iv) in § 3.5 relevant. dx.arrow_forwardQ6*) Describe the plane paths of light in the two-dimensional media in which the light velocities are given respectively by (a) c = a/y, (b) c = a/√y, where a > 0, y > 0.arrow_forward
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillFunctions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage Learning
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellElementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice University
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