Question

In: Advanced Math

I live in Rapid City and commute to Spearfish. I leave Rapid City by 6 minutes...

I live in Rapid City and commute to Spearfish. I leave Rapid City by 6 minutes after 8 and get onto I-90 at Exit 52. I must exit I-90 at Exit 12 by no later than 8:50 so that I am not late for class. Normally, I can drive the speed limit and make it on time.

Over the past few years there has been a lot of construction on Interstate 90. For example, last year 4 miles of road was under construction between Mile Marker 26 and 30 (Sturgis). The posted speed limit in the construction zone (single lane -- do not pass) is 55 mph, but I always end up behind someone that is going only 49mph. When I am not in the Construction Zone, what is the minimum speed that I have to drive, so that I can be at Exit 12 by 8:50?

Solutions

Expert Solution


Related Solutions

The average number of minutes Americans commute to work is 27.7 minutes. The average commute time...
The average number of minutes Americans commute to work is 27.7 minutes. The average commute time in minutes for 48 cities are as follows. Albuquerque 23.6 Jacksonville 26.5 Phoenix 28.6 Atlanta 28.6 Kansas City 23.7 Pittsburgh 25.3 Austin 24.9 Las Vegas 28.7 Portland 26.7 Baltimore 32.4 Little Rock 20.4 Providence 23.9 Boston 32.0 Los Angeles 32.5 Richmond 23.7 Charlotte 26.1 Louisville 21.7 Sacramento 26.1 Chicago 38.4 Memphis 24.1 Salt Lake City 20.5 Cincinnati 25.2 Miami 31.0 San Antonio 26.4 Cleveland...
The following is the number of minutes to commute from home to work for a group...
The following is the number of minutes to commute from home to work for a group of automobile executives. 28 25 48 37 41 19 32 26 17 23 51 26 21 32 16 31 43 35 42 38 1. Using 4 classes/intervals, construct a frequency distribution starting with lowest data. Refer to the table below: Class Intervals Class Boundaries Midpoint Frequency Cumulative Frequency 2. Draw the following: Frequency Histogram, Polygon and Ogive.
The following is the number of minutes to commute from home to work for a group...
The following is the number of minutes to commute from home to work for a group of 25 automobile executives. 43 42 41 38 47 45 40 42 43 39 35 46 52 38 46 47 45 33 30 42 37 33 48 49 46 How many classes would you recommend? What class interval would you suggest? (Round up your answer to the next whole number.) Organize the data and plot a frequency distribution on a piece of paper. Comment...
Sam and Kim live in Coquitlam but work in Vancouver. They must commute to their place...
Sam and Kim live in Coquitlam but work in Vancouver. They must commute to their place of work and back home during rush hours. Assume that there are 14 available hours in the day, that their wage rate is $25 per hour, and that they each have nonlabour income of $200 per day. The commute takes 2 hours each way (4 hours a day total), and it costs $80 in expenses for the round trip. 1. Let us say his...
Sam and Kim live in Coquitlam but work in Vancouver. They must commute to their place...
Sam and Kim live in Coquitlam but work in Vancouver. They must commute to their place of work and back home during rush hours. Assume that there are 14 available hours in the day, that their wage rate is $25 per hour, and that they each have nonlabour income of $200 per day. The commute takes 2 hours each way (4 hours a day total), and it costs $80 in expenses for the round trip. 1. Draw Sam’s (or Kim’s,...
My commute to university, follows a NORMAL distribution with a 35.5 minutes as mean and a...
My commute to university, follows a NORMAL distribution with a 35.5 minutes as mean and a standard deviation of 2.5 min. If my commute starts at 8:20 am and ideally I must be at university by 9am. Define two random variables and formulate two questions, one involving binomial distribution and the other involving geometric distribution.
it took 85 wsu students an average of 36 minutes to commute to campus( with a...
it took 85 wsu students an average of 36 minutes to commute to campus( with a standard deviation of 3.5 minute ). at the 95% confidence level, construct a confidence interval within which lies the mean commute time of all WSU students.
A professor's commute is normally distributed with a mean of 40 minutes and a standard deviation...
A professor's commute is normally distributed with a mean of 40 minutes and a standard deviation of 10 minutes. (a) What is the probability that the professor gets to work in 30 min or less? (Round your answer to three decimal places.) . (b) If the professor has a 9 A.M. class and leaves home at 8 A.M., how often is the professor late for class? (Round your answer to one decimal place.) - % of the time
Daily commute time is normally distributed with mean=40 minutes and standard deviation=8 minutes. For 16 days...
Daily commute time is normally distributed with mean=40 minutes and standard deviation=8 minutes. For 16 days of travel, what is the probability of an average commute time greater than 35? B. A cup holds 18 ozs. The beer vending machine has an adjustable mean and a standard deviation equal to .2 oz. What should the mean be set to so that the cup overflows only 2.5% of the time? C. The probability that Rutgers soccer team wins a game is...
In a random sample of 29 people, the mean commute time to work was 32.5 minutes...
In a random sample of 29 people, the mean commute time to work was 32.5 minutes and the standard deviation was 7.3 minutes. Assume the population is normally distributed and use a ​   t-distribution to construct a 95​% confidence interval for the population mean mu. What is the margin of error of mu​? Interpret the results. Round to one decimal place as needed.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT