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 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
For each problem, show all work and explain your reasoning.(a) Does the overall configuration consider the order of the individual pieces of the configuration?(b) Count the number of different configurations for the prompt.1. Passwords of length seven containing distinct letters consisting of uppercase English lettersand/or lowercase English letters2. Committees consisting of four folks formed from the 11 Math faculty members3. Usernames of length six consisting of uppercase English letters, lowercase English letters,and/or numbers from 0–94. Election results from 6 Math 150 students for course president, vice president, and treasurer5. Phone numbers containing only odd numbers6. Social security numbers containing neither 8’s nor 9’s7. Ice cream sundaes consisting of three distinct flavors taken from ten total flavors8. Handfuls of five Skittles consisting of only “warm” colors from a jar containing 8 red, 11green, 7 yellow, 12 purple, and 13 orange9. Possible rolls from fair 6-sided,…
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.
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
The new city water company that you have researched charges homeowners based on how much water they use in thousands of gallons. The company progressively charges at a higher rate the more water that is used. Cost of Water Bill (dollars) 240 230 220 210 190 180 170 160 110 Water Usage (in thousands of gallons) 11. Based on the graph above, how much does the city charge when a homeowner uses the following number of gallons of water: a) 1700 gallons of water b) 2000 gallons of water c) 7000 gallons of water 12. Finish filling in the following piece-wise equation below that describes the chart based on the graph 50 if 0 < x <2 5x+50 y = if 6≤x≤8 30x 140

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