Within a large metropolitan area, 20% of the commuters currently use the public transportation system, whereas the remaining 80% commute via automobile. The city has recently revitalized and expanded its public transportation system. It is expected that 6 months from now 30% of those who are now commuting to work via automobile will switch to public transportation, and 70% will continue to commute via automobile. At the same time, it is expected that 10% of those now using public transportation will commute via automobile and 90% will continue to use public cransportation. In the long run, what percentage of the commuters will be using public transportation? (Round your answer to the nearest percent.)

Within a large metropolitan area, 20% of the commuters currently use the public transportation system, whereas the remaining 80% commute via automobile. The city has recently revitalized and expanded its public transportation system. It is expected that 6 months from now 30% of those who are now commuting to work via automobile will switch to public transportation, and 70% will continue to commute via automobile. At the same time, it is expected that 10% of those now using public transportation will commute via automobile and 90% will continue to use public cransportation. In the long run, what percentage of the commuters will be using public transportation? (Round your answer to the nearest percent.)

Name: Within a large metropolitan area, 20% of the commuters currently use
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: Within a large metropolitan area, 20% of the commuters currently use the public transportation system, whereas the remaining 80% commutevia automobile. The city has recently revitalized and expanded its public transportation system. It is expected t

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: poll in June 2020 found that 81% of American parents believe that virtual learning instead of…

A: Given data number of success , x= 822.0 sample size, n = 1081 population…

Q: Chapter 1, Section 2, Exercise 029 State whether the data are best described as a population or a…

A: A subscription-based music website tracks its total number of active users. Explanation: Population…

Q: How many students should she survey to be 95% confident she is within 3% of the true population…

A: Given that Margin of error, E = 3% = 0.03 Confidence level = 95% The critical value of Z at 95%…

Q: In a big high school, each student can use only Math Tutorial or Chemistry Tutorial. In September…

A: Each student an use either a Math tutorial or a Chemistry tutorial or neither. In September, 40%…

Q: The patient was 62 years old. B) The patient did not visit the emergency room. C) The patient was…

A: DISJOINT EVENTS Two events A and B are said to be disjoint, if it is impossible for both of them to…

Q: . Determine the regression equation.

A: Note: Since you have posted a question with multiple subparts, we will solve the first three…

Q: Amazon.com, Inc. (AMZN) is one of the largest Internet retailers in the world. Best Buy, Inc. (BBY)…

A: The objective of the question is to calculate the accounts receivable turnover and the number of…

Q: In 2015, over 30,000 Americans died from opioid overdoses, and the number of inpatient stays and…

A: Here we have to identify the disjoint events

Q: A traffic light is installed to allow traffic from a seldom used side street to cross a 4-lane…

A: H0: p(red) = 0.8, p(yellow) = 0.05, p(green) = 0.15 Ha: either of the proportion is different

Q: Given that there are more women in the labor force, more women holding advanced degrees, how does…

A: Answer: Given that: Given that there are more women in the labor force, more women holding…

Q: According to the American Red Cross, O positive is the most common blood type. Approximately 45% of…

A: Note: Hi! Thank you for the question. As the question has multiple sub-parts, according to our…

Q: a, 15% of the commuters currently use the public transportation system, wh hs from now 10% of those…

A: *answer:

Q: When an individual is exposed to radiation, death may ensue. Factors affecting the outcome are the…

Q: A study identified top accounting firms across the United States. The Southeast and Gulf Coast…

Q: Many regions in North and South Carolina and Georgia have experienced rapid population growth over…

A: Given:- Many regions in North and South Carolina and Georgia have experienced rapid…

Q: A disease can be caused by three strains of a virus. Suppose that Type A is statistically the most…

A: Given Information: Type A is causes 85% of all cases. Type B causes 12% of cases. Type C causes the…

Q: (a) What is the probability that the length of stay in the ICU is one day or less? (b) What is the…

A: (a) The average length of stay in the ICU is 3.8 days. The random variable X is defined as the…

Q: Europe is projected to have a Lego shortage this Christams. Production has been ramped up in an…

A: Given, Population proportion = p = 1% = 0.01x = 16589n = 10000000Sample proportion = p^ =…

Q: fa family now li wo years from now? A suburban area? A rural area? uppose that at present, 40% of…

A: .

Q: A snowboard manufacturer has three plants, one in the eastern United States, one in the western…

A: a) To calculate the proportion of the defective boards manufactured last month was,

Q: Within a large metropolitan area, 20% of the commuters currently use the public transportation…

Q: Why is it that one person may tend to gain weight, even if he eats no more and exercises no less…

A: Given : Recent studies suggested that the factors that control metabolism may depend on your genetic…

Q: With an alpha level of .05, construct a hypothesis test to see if there is a difference in sales…

A: Let μ1 denote the population mean Nike Air Max 97 SE, μ2 denote the population mean Nike’s Air Force…

Q: In clinical trials, 60 percent of new cancer drugs advance from Phase I to Phase II, 25 percent…

Q: Many regions in North and South Carolina and Georgia have experienced rapid population growth over…

A: There is a Multicollinearity problem since there is moderate degree of correlation.

Q: In a population of 200,000 people, 60,000 are infected with a virus. After a person becomes infected…

A: Given : Total population = 200,000 Infected People = 60,000 Non-infected people = 200,000 - 60,000 =…

Q: Suppose our lake began with 1000 fish, and 10% of the fish have surviving offspring each year. Since…

Q: When wildebeest are more abundant, they graze the grass more heavily, so there are fewer fires and…

A: Provided information is, When wildebeest are more abundant, they graze the grass more heavily, so…

Q: (a) At the 0.05 level of significance, is there evidence of a difference in the variability in…

A: From the given data: Let X denote growth in Southeast region and Y denote growth in Gulf Coast.…

Q: In 2015, over 30,000 Americans died from opioid overdoses, and the number of inpatient stays and…

A: Concept: Two events are said to be disjoint if both the events cannot occur at the same time.…

Q: Before 1918, approximately 55% of the wolves in the New Mexico and Arizona region were male, and 45%…

A: (a)Calculations:Before 1918, there are approximately 55% of the wolves were male and 45% were…

Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

Topic Video

Question

Within a large metropolitan area, 20% of the commuters currently use the public transportation system, whereas the remaining 80% commute
via automobile. The city has recently revitalized and expanded its public transportation system. It is expected that 6 months from now 30% of
those who are now commuting to work via automobile will switch to public transportation, and 70% will continue to commute via automobile. At
the same time, it is expected that 10% of those now using public transportation will commute via automobile and 90% will continue to use public
cransportation. In the long run, what percentage of the commuters will be using public transportation? (Round your answer to the nearest
percent.)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Discrete Probability Distributions$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

Many regions in North and South Carolina and Georgia have experienced rapid population growth over the last 10 years. It is expected that the growth will continue over the next 10 years. This has motivated many of the large grocery store chains to build new stores in the region. The Kelley’s Super Grocery Stores Inc. chain is no exception. The director of planning for Kelley’s Super Grocery Stores wants to study adding more stores in this region. He believes there are two main factors that indicate the amount families spend on groceries. The first is their income and the other is the number of people in the family. The director gathered the following sample information. Family Food Income Size 1 $ 5.04 $ 73.98 4 2 4.08 54.90 2 3 5.76 94.14 4 4 3.48 52.02 1 5 4.20 65.70 2 6 4.80 53.64 4 7 4.32 79.74 3 8 5.04 68.58 4 9 6.12 165.60 5 10 3.24 64.80 1 11 4.80…
Cigarettes 2009. In 1999, the Centers for Disease Controland Prevention estimated that about 34.8% of high schoolstudents smoked cigarettes. They established a nationalhealth goal of reducing that figure to 16% by the year2010. To that end, they would be on track if they achieveda reduction to 17.7% by 2009. In 2009, they released aresearch study in which 19.5% of a random sample of5080 high school students said they were current smokers.Is this evidence that progress toward the goal is off track?a) Write appropriate hypotheses.b) Verify that the appropriate assumptions are satisfied.c) Find the P-value of this test.d) Explain what the P-value means in this context.e) State an appropriate conclusion.f) Of course, your conclusion may be incorrect. If so,which kind of error did you commit?
An aerosolized vaccine for measles was developed in Mexico and has been used on 44 million children since 1980. Aerosolized vaccines have the advantages of being able to be administered by people without clinical training and do not cause injection‐associated infections. The percentage of children developing an immune response to measles after receiving the subcutaneous injection of the vaccine is 95%,95%, and for those receiving the aerosolized vaccine, it is 85%85% . There are 2020 children to be vaccinated for measles using the aerosolized vaccine in a small rural village in India. We are going to count the number who developed an immune response to measles after the vaccination. What would be the probability that at least one child does not develop an immune response to measles if all children were vaccinated using the subcutaneous injection of the vaccine? (Enter your answer as a proportion rounded to four decimal places.)
Europe is projected to have a Lego shortage this Christams. Production has been ramped up in an effort to get some more Legos to Europre before the holidays. Howeverm you can't ship out defective products and we're not sure how running the machines faster will effect quality control. It is your job to determine if a shipment of 10 million Legos can be sent out. You can't send out a batch is more than 1% of the batch is bad. A) What is the minimum number of legos that must be sampled in order for the statistics to be trusthworth? B) Suppose you sampled 1400 legos and 1.5% of them were bad. Create a 99% confidence interval around this sample. C) Inerpret this confidence interval in the context of this problem. Answer should include the word legos and batch.
Many regions in North and South Carolina and Georgia have experienced rapid population growth over the last 10 years. It is expected that the growth will continue over the next 10 years. This has motivated many of the large grocery store chains to build new stores in the region. The Kelley’s Super Grocery Stores Inc. chain is no exception. The director of planning for Kelley’s Super Grocery Stores wants to study adding more stores in this region. He believes there are two main factors that indicate the amount families spend on groceries. The first is their income and the other is the number of people in the family. The director gathered the following sample information. Family Food Income Size 1 $ 5.04 $ 73.98 4 2 4.08 54.90 2 3 5.76 94.14 4 4 3.48 52.02 1 5 4.20 65.70 2 6 4.80 53.64 4 7 4.32 79.74 3 8 5.04 68.58 4 9 6.12 165.60 5 10 3.24 64.80 1 11 4.80…
A national study found that treating people appropriately for high blood pressure reduced their overall mortality by 20%. Treating people adequately for hypertension has been diffcult because it is estimated that 50% of hypertensives do not know they have high blood pressure, 50% of those who do know are inadequately treated by their physicians, and 50% who are appropriately treated fail to follow this treatment by taking the right number of pills. Answer the following questions ( please answer all the parts 1,2 and 3): 1) What is the probability that among 10 true hypertensives at least 50% are being treated appropriately and are complying with this treatment?2) What is the probability that at least 7 of the 10 hypertensives know they have high blood pressure? 3) If the preceding 50% rates were each reduced to 40% by a massive education program, then what effect would this change have on the overall mortality rate among true hypertensives; that is, would the mortality rate decrease…
A poll in June 2020 found that 83% of American parents believe that virtual learning instead of in- person learning widens the equity gap for students. A later poll in October 2020 asked 1025 American parents if they believe virtual learning instead of in- person learning widens the equity gap for students, and found that 820 believe that yes, virtual learning instead of in-person learning widens the equity gap for students. Does this mean that the proportion of American parents, who believe that virtual learning instead of in-person learning widens the equity gap for students, has decreased? Test at the 10% significance level. State the hypotheses. Но: р (? На: р (? Calculate the sample proportion. Round to four decimal places. Calculate the test statistic. Round to two decimal places. Z = Find the p-value. Give to four decimal places. p-value = State your decision. Since the p-value is less than 0.1, fail to reject Ho. Since the p-value is less than 0.1, reject Ho. | Since the…
please help with 3, 4, and 5 High school seniors with strong academic records apply to the nation’s most selective colleges in greater numbers each year. Because the number of slots remains relatively stable, some colleges reject more early applicants. Suppose that for a recent admissions class, an Ivy League college received 2851 applications for early admission. Of this group, it admitted 1033 students early, rejected 854 outright, and deferred 964 to the regular admission pool for further consideration. In the past, this school has admitted 18% of the deferred early admission applicants during the regular admission process. Counting the students admitted early and the students admitted during the regular admission process, the total class size was 2375. Let E, R, and D represent the events that a student who applies for early admission is admitted early, rejected outright, or deferred to the regular admissions pool. Answer questions 3-5. 3.Use the data to estimate P(E), P(R),…
Is Homework Truly Beneficial? Two decades ago, researchers believed that homework had a negative impact on students’ physical and emotional health, yet students are still bogged down with hours of homework as early as the second grade. According to research by several universities, elementary students spend an average of 3 hours a week doing homework. The same studies revealed that the average high school student spends over 22 hours a week on homework. In fact, students today spend more than double the time on homework than students two decades ago. Sadly, as time spent on homework doubles, student performance continues to decline. So, how then is homework helping? Homework is harmful and not the key to student success. 2 Select the correct answer. How does the writer introduce the claim? A. by using research to set the context for the argument against homework B. by telling a short personal story about her struggles with homework C. by comparing…
It is known that in any given year, • 90% of the people in a city move to the suburbs; • 80% of the people in the suburbs do not move to the city. Given an initial city population of 55,000 and an initial suburb population of 77,000, what are the long-term population levels of the city and the suburb?
Intensive care units (ICUS) generally treat the sickest patients in a hospital. ICUS are often the most expensive department in a hospital because of the specialized equipment and extensive training required to be an ICU doctor or nurse. Therefore, it is important to use ICUS as efficiently as possible in a hospital. Suppose that a large-scale study of elderly ICU patients shows that the average length of stay in the ICU is 3.2 days. Assume that this length of stay in the ICU has an exponential distribution. (Round your answers to four decimal places.) (a) What is the probability that the length of stay in the ICU is one day or less? (b) What is the probability that the length of stay in the ICU is between two and three days? (c) What is the probability that the length of stay in the ICU is more than five days?
Part 1 is in picture. (Part 2): a male student, given that the student has aid. P= (Part 3): a female student, or a student who receives federal aid. P=