11.Gridtown USA, besides having excellent donut shops, is known for itsprecisely laid out grid of streets and avenues. Streets run east-west, andavenues north-south, for the entire stretch of the town, never curving andnever interrupted by parks or schools or the like.Suppose you live on the corner of 4th and 4th and work on the corner of20th and 20th. Thus you must travel 32 blocks to get to work as quickly aspossible.a. How many different routes can you take to work, assuming you want toget there as quickly as possible?601080390a. Now suppose you want to stop and get a donut on the way to work,from your favorite donut shop on the corner of 18th ave and 16th st.How many routes to work, stopping at the donut shop, can you take(again, ensuring the shortest possible route)?144865500a. Disaster Strikes Gridtown: there is a pothole on 7th ave between 6th stand 7th st. How many routes to work can you take avoiding thatunsightly (and dangerous) stretch of road?a. The pothole has been repaired (phew) and a new donut shop hasopened on the corner of 7th ave and 6th st. How many routes to workdrive by one or the other (or both) donut shops? Hint: the donut shopsserve PIE.

Streets run east-west and avenues north-south for the entire stretch of town.You live on the corner…

Answered: Gridtown USA, besides having excellent…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Similar questions

a.) Make a list of the amounts of money one can have that cannot be reduced to a smaller number of coins. (Hint: there are seven possible amounts.) One of the amounts is (d+e). b.) Make an addition table for Glosian money. It should be a seven by seven table, with a row and column for each of the amounts you found in the previous problem. For example, your table shouldshow that (d+e)+d=f c.) One of the seven amounts you found in the previous problem can be considered to be the zero of Glosian money, since adding it to a collection of coins does not change the collection’s value (after trading to get the smallest possible number of coins, of course.) Which amount is the zero forGlosian money? d.) The opposite of an amount is the amount you add to it to get the zero. Find the opposite of each of the seven amounts.
The size of a TV screen is stated in inches, a 45-inch TV, a 60-inch TV, etc. But a TV screen or a cell phone screen is a surface so its size should be measured in square inches rather than inches. It turns out that the advertised screen size is actually the length of the diagonal line of the screen. So a cell phone with a 6-inch screen may have a different screen area than another cell phone that also has a 6-inch screen. Find the area of the rectangles. Round answer to two decimal places.
A taxi company is trying to find the quickest route during rush hour traffic from the airport to a major hotel. The roads from the airport to the hotel are represented by the grid below. Hotel Airport If the taxi must mover closer to the hotel with each turn, then the number of different possible routes is
Ms. Stecher bought a combination of bagels and muffins at her local bakery . Muffins cost $ 2.50 each and bagels cost $ 1.50 each. Ms. Stecher bought a total of 10 items and paid $ 19. The graph shows a system of equations for thai scenario where x is the number of muffins and y is the number of bagels in Ms. Stecher's order . a) Interpret the meaning of the points on the dashed line in the context of this problem . b) Interpret the meaning of the points on the solid line in the context of this problem . c ) Determine the solution of this system and interpret its meaning in the context of this problem .
The cost C and the revenue R for a brokerage firm depend on the number T of transactions executed. (Both C and R are measured in dollars.) It costs $710 per day to keep the office open, and brokers are paid an average of $24 per transaction. Also, $34 in fees are collected for each transaction.
Imagine you are in a city that has a grid of streets with perfectly square blocks and that the only way to get from one intersection to another is to follow the block system. How many blocks will you have to walk (or pay the cabdriver for) if you want to get from the intersection of 10th Ave and 25th Street to the intersection of 6th Ave and 28th Street? If you had a jet pack and could fly over the buildings, how many blocks in length would the shortest path be? How does this compare to #1? (Hint: Pythagorean Theorem)
The owner of an apartment building can rent all 50 apartments if she charges $1,700 per month, but she rents one fewer apartment for each $50 increase in monthly rent. (a) Construct a table that gives the revenue generated if she charges $1,700, $1,750, and $1,800. Total Revenue No. of Apts 50 49 48 Rent $1,700 $ 85000 $1,750 $ 85750 $1,800 $ 86400 Need Help? ✓ Excellent job! (b) Does her revenue from apartment rentals increase or decrease as she increases the rent from $1,700 to $1,800? o revenue increases revenue decreases Read It ✓ Great job. ✓ Way to go! Nice work. (c) Write an equation that gives the revenue R, from apartment rentals if she makes x increases of $50 in the rent. R(x) = -50x² +800x+8500 X (d) Find the rent she should charge to maximize her revenue. $2100 ✓per month

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