Gridtown USA, besides having excellent donut shops, is known for its precisely laid out grid of streets and avenues. Streets run east-west, and avenues north-south, for the entire stretch of the town, never curving and never interrupted by parks or schools or thelike.Suppose you live on the corner of 6th and 6th and work on the corner of 20th and 20th. Thus you must travel 28 blocks to get towork as quickly as possible.a. How many different routes can you take to work, assuming you want to get there as quickly as possible?C(28,14)avea. Now suppose you want to stop anddonut onget athe to work, from yourwayfavorite donut shop on the corner of 19thand 17th st. How many routes to work, stopping at the donut shop, can you take (again, ensuring the shortest possible route)?a. Disaster Strikes Gridtown: there is a pothole on 7th ave between 9th st and 10th st. How many routes to work can you takeavoiding that unsightly (and dangerous) stretch of road?a. The pothole has been repaired (phew) and a new donut shop has opened on the corner of 7th ave and 9th st. How many routesto work drive by one or the other (or both) donut shops? Hint: the donut shops serve PIE. C(24, 12)C(18, 10) C(6,2)C(24, 12) – C(3, 1) C(20, 11)C(3, 1) C(21, 11) + C(18, 10) C(6, 2) – C(3, 1) C(15,9) C(6,2)

a. This is a total of 28 moves. Each route can be represented as a string of E's (representing…

Answered: Gridtown USA, besides having excellent…

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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A researcher is interested in whether people who enjoy fine wine can actually tell the difference between a highly rated expensive wine and a good inexpensive wine. She selects several bottles of a highly rated cabernet sauvignon (a red wine) costing over $100 per bottle and several bottles of a good cabernet sauvignon costing $12. Subjects will taste a glass of wine without knowing whether it is the expensive or inexpensive wine. This is the treatment. They will then be asked to estimate how much the wine cost. This is the response variable. Outline a completely randomized design to compare the cost estimates for the two treatments. Twenty subjects are available. Group 1 Treatment 1 10 subjects expensive wine Compare Price estimate Random assignment Treatment 2 A Grouo 2 10 subjects inexpensive wine Group 1 10 subjects - expensive wine Random assignment Compare price estimates Group 2 10 subjects - inexpensive wine Treatment 1 Group 1 20 subjects expensive wine Compare Price estimate…
b. Number of boys and girls in each block: Let's say you want to graph the number of boys and girls in each grade level in a school. You have five grade levels: kindergarten, first grade, second grade, third grade, and fourth grade. In kindergarten, there are 15 boys and 10 girls. In first grade, there are 20 boys and 18 girls. In second grade, there are 12 boys and 14 girls. In third grade, there are 16 boys and 20 girls. In fourth grade, there are 18 boys and 16 girls.Make an appropriate graph for this situation in EXCELShow the steps on how you made it
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Directions: For each question, be sure to answer each questions in as much detail as possible in the spaces provided. 1. The city of Petersburg has 12,500 registered voters. There are two candidates for city council in an upcoming election: Brown and Stephens. The day before the election, a telephone poll of 500 randomly selected registered voters was conducted. 207 said they vote for Brown, 249 said they’d vote for Stephens, and 45 was undecided. Describe the population the surveyors are really interested in. Give the sample statistic for the proportion of voters surveyed who said they would vote for Brown. The proportion should be a fraction or decimal, not a percent.
live 9 (rectangular) blocks from Tech, and I walk each morning. The trip is 3 blocks north and 6 blocks west; and I have to follow the streets, so I cannot cut diagonally. At each intersection, I must choose whether to walk north or walk west. Thus, I must make 9 choices of which to take, but of course must go north 3 times and west 6 times. How many possible complete trips to Tech are there?

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