Misundertanding of Algebra Why We Should Continue to Have...

Ever since the ancient civilizations of Egypt, China, Mesopotamia, and India, we have used mathematics. It has guided the advancement of society and it has led to incredible discoveries. However, the amount of math students should learn has become an issue. Almost every well educated person would agree that all students should learn the value of math. By the time students reach the level of algebra, however, we see politicians, the media, students and parents arguing if they should even learn algebra. One of the reasons is that many U.S. students are failing algebra in high school and college. Algebra is the minimum requirement for all students in high school and a basic requirement in college and universities. To ask to change the†¦show more content†¦This would give us answer of 4.30 hours to drive to Las Vegas from Los Angeles. Now this is one way to describe what algebra is, but we also have formulas to help us. The quadratic formula, Pythagorean Theorem, and the equati on of a line are just a few of the formulas we use to solve algebraic problems. The ancient Egyptians used the Pythagorean Theorem to design and build the pyramids of Egypt. Civil engineers across Europe built the massive cathedrals using algebra in a time when machinery was not available. Algebra helped aerospace engineers figured out how to send three astronauts to the moon in 1969. Our advancement in technology and society will depend on people with exceptional math skills to build the bridge to the future. As of now, we need to make people realize how useful algebra is in everyday life before we can go the next step. A question that sometimes is mentioned is how can algebra make our lives easier? Some people assume that our need for math is basic. This is saying that we should be fine as long as we can add, subtract, multiply, and divide. What these people do not realize is that algebra is used in our lives more than they think. For students, determining your grade-point-average (GPA) and understanding what is your class grade takes a bit of algebra to understand. For example, if a high school student wants to determine what their GPA for admission to a university, they have to know what numbers represent the letter grades. Traditionally,

The Best Type Of Musical Performance For Developing Musicians

It’s not difficult to imagine, but not all musicians are professionals. The progression between developing and professional musicians is more of a fluid-like structure. Unfortunately there isn’t a special card that musicians receive that make them one or the other. Of course, most musicians practice with the dream of having an illustrious career with their chosen instrument. Again however, in order for a musician to become a professional they have to practice arduously and carefully in order to gain enough experience to perform professionally. Because of that there’s a gray area, as no one knows exactly how much practice qualifies a musician. That being said, in the middle of that gradient there’s a type of musical performance called busking. It’s a rather familiar term, but few stop and assess its importance. Busking is the best type of musical performance for developing musicians because it is played publicly, it can make decent money, and it is c rucial to developing a professional repertoire. There are two different types of performances that a musician can play: public and professional. Busking is a public performance; concerts are a professional performance. Professional performances involve people like restaurant managers, concert promoters, or agents paying a musician or group of musicians to play their music. Public performances, on the other hand, are planned by the musician or musicians and are much less formal. Both professional and developing musicians canShow MoreRelatedThe World Of Conducting Instrumental Music2561 Words   |  11 PagesEnglish IV-1A 2 November 2014 The World of Conducting Instrumental Music Conducting is bringing out the beautiful sounds of a composition that are heard through the performance of a piece of music. 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Life Testing Mainly For Handling The Different Marketing Measurements

Question: Discuss about the Life Testing Mainly For Handling The Different Marketing Measurements. Answer: Introduction Thedigital marketing attribution tends to face a different number of challenges with the growing online landscape. The article is about using the life testing mainly for handling the different marketing measurements. This requires a proper understanding and behavior of the people. The paper also focuses on the understanding about how one can be used to drive and make some accurate decisions rather than any simpler last click models. The paper also focu on the work of the advertising measurements where the highlights are related to the broadcast media and properly identifying the different campaigning components. They are depending upon the advertisers with the reason to believe that the aggregate levels are mainly impacted (Williamson, 2016). The econometric modelling techniques are depending upon the marketing mix models where there is a possibility of world of attribution and to set the desire for calculating the impact on advertising spending. The difficulty is mainly about the ex penses and how Dominic W., 2016, can influence the people through his conversation. Key Issues Challenges Considering the marketing attribution, with the team of Facebook, there are different challenges which relate to marketing measurement. Certain flaws could be noticed at the time of last-click models with growing moves to the cross-device usage as well. Some of the Multi-touch attribution models also are considered with the conversion paths for the individual user through view or click touch. The range is set to allow the view through impacts and focus on the different issues related to the working of the lift-testing model. It has been seen that the results for the model are not easy to be validated as the digital campaign does not target a random set of the users, but they are more likely to be converted (Sapp et al, 2016). The disentangling users tend to convert with the ads and the users who are there in the advertisement. It is considered as a major challenge. It is important to focus on the MTA challenges (Multi-touch attribution models) which are considered to show a major inc remental impact of the campaign with the benchmarking mainly against the intuition. The intuition is the habit of reinforcing the belief. The key issues are also related to the availability of the email lenders with the lift testing and direct mailing which is mainly relied on testing to drive the optimization. The digital standards match the individual level targets which require to properly login and tie with identification set across the devices. The bulk of online advertisements mainly are outside the logged in platforms which includes the measurements based on cookies and associated tracking shortfalls. The major difficulty comes with handling the marketing mix model that have been placed to reach out to different advertisers with the stability for the accountability (Simic et al., 2016). The problems are the arbitrary credit assignment in the digital marketing world that has been imposed upon the chain of advertising the channel that touches the preceding conversions. The last click models could underestimate the impact mainly due to the missed view-through and overestimates due to the causality assumption. The p roblem is related to overreaching ad growing impact of different device usage. The people are focusing on consuming the ads and then converting them online, which is considered important technique for attribution but at the same time it is using the people-level analysis for sidestep problems that have been cross-device for tracking. Limitation Implications The limitations of the lift testing are mainly related to the ability of the platform to execute and handle the powerful measurement option. The power is to reinforce the unyielding march of the big data, with increased availability of the data to the sample sizes which are larger. The data lead to the sample sizes which are found to be larger than the previous forms, and high-powered tests with the ability to detect any type of the smaller uplifts. It has been seen that the marketing campaigns are for running the different digital campaigns that works on one or more ads (Williamson, 2016). They are an arbitrary way for the attributing impact model. The combinations are depending upon the orders where the users click in random and the reality of marketing falls consistency in the purchase cycle. There are standards set for the purchase on the theoretical online retailer who expects to focus on experience zero traffic without marketing. Here, the retailers have a higher speed to handl e the zero traffic without any marketing with the causality that is found through clicking, visiting and corresponding purchases. The implications are related to the efficiency of the click modes in the age of 55-64and 65+ age groups, whereas the true incremental value could be seen in the age group of 35-44. The old demographic clicks tend to work on the campaigns which are targeted for the donors so that people in the unexposed hold out group to show a higher level of donation. The assumptions are based on the clicks causality where digital media marketing offers the management of clients and the opportunity to measure the campaigns through person-level life tests. The considerations are about the converter where the customers, their purchase and then the click or conversions are coincidental (Bhandari et al., 2017). One needs to view through effect which is some impacts that has been mainly by the last click models. Here, the standards are set through the view-through effect, where one can view mainly by definition. The implications are also depending upon the overarching and growing impact of the different usage of device which includes how 75% of the Americans make use of the desktop and the mobile devices. Criticism of the Literature The lift testing has been effective for the digital marketing but there are issues related to the forms set under the last click model. The model provides with the utility and simplicity that has been an alternative as it has been entrenched with the part of the life of marketer(Williamson, 2016). The models are related to allowing the view-through impacts that does not assume causality and consider different impacts of the other channels. There are different uncontrolled and unexposed controlees which represent the what-if factors where the assumptions are not present. The interpretation of the values is through conversions and working over identifying the target audiences and success metrics. The randomization and splitting the audience into tests works over the view-through impacts that has been captured by default and the causality is nullified. There have been issues related to how the lift testing needs to work over the underlying methodology with randomized control trials that are performed in medical testing. The target of the group is split, and the different groups tend to receive the different treatments which are based on the measurement of responses (Ghotbifar et al., 2017). The RCT is the gold standard of measurement to bring the new treatments to the market where the clients tend to apply the analytical rigor to the marketing campaigns. The availability is mainly set in the channel or the publisher which is depending upon the targets for how e-mail lends itself to the lift testing. The digital channels and the individual level targets are important for login to accurately handle the identity of the devices. The power is then reinforced by underlying and unyielding the march of big data as well. For the digital marketing in the cross-device world, it is important to focus on the medical testing where the placebo tests are unexposed with showing the ads unrelated to the advertiser. The tags could be used to properly identify the tests and the contr ol groups, where the algorithmic standards are set for delivery target people deemed to engage with the ad. The delivery is set into different audience types, with difference mainly existing between the two groups set with exposure to ads (Williamson, 2016). The shortcomings are related to the lift testing where the people increasingly work on consuming ads and then converting them online. It is important to focus on the use of attribution techniques where the people-level analysis is set with sidestep of the problems for tracking. According to the writer, the consistency of the misestimates could be a major challenge as well that could lead to the channels to suboptimal levels and cross-channel budget allocation. The larger opportunities are matches with focusing on segments of people with the likelihood to click and focus on the propensity to respond to advertising. The consideration of the online fundraising campaign is for the senate race where the hold is on the higher level of donations (Neville, 2017). The issues with the lift testing is also about the availability. It is important to focus on how the MTA models should provide a better framework with a degree of measurement across the different digital channels with properly tracking capabilities. Hence, it is important to measure the mindset with the needs to shift from what has been given in an ad and what happens mainly because of the same. Here, the terms are related to the MTA models which provide a proper way to easily handle and execute the channel through proper shift. The availability of the standards with remiss is not mainly to use the lift testing as a way for validation. The essential standards are mainly to match with a greater push and usage that works on evolving the measurements and effectiveness (Williamson, 2016). The advertisers demand mainly from the media channels and how one can build a proper infrastructure as per the demanding standards. The attribution is about how one face the challenges and how one can d o so till there is development of the ad tech methodologies. With the change in the measurement, it is always seen that the advanced attribution analysis has been a major comfort for the measurement evolution that is inevitable and incumbent for one to drive forward. The focus is mainly on working over the lift tests and how the decisions are based on the alternatives. As per the analysis, it has been seen that the consistent misestimates are of the cross-channel budget allocation, with representation of the larger opportunity (Abuhaiba, et al., 2016). The last click focusses on spending on the segments of people with the likelihood to click rather than the people with higher propensity to response. The consideration is about how the campaigns are targeted with unexposed hold-out groups which show a higher level of baseline donation. In 2015, Facebook offers a proper management of the clients with the opportunity to measure the campaigns and tests through the person-level lift-tests . The Swiss online retailers like DeinDeal focus on the campaigns of Facebook and try to make use of the lift tests. Here, the major focus must be on the impact that the clicks have on the people, rather than focusing on the ability to execute the same. The power is reinforced mainly by increased availability of the data which leads to the sample sizes that are larger than the previously availed data. The use of the data means a higher test of the power and the ability to detect smaller uplifts as well. It is important to focus on the availability in the marketing channels where the ability is to target the individual level of the person. It works on the power that reinforce by the unyielding of the march of big data with sample sizes that are larger than the previously available data (Ji et al., 2016). The data needs to be used in a proper manner with the higher-powered tests and with the ability to detect and make use of tests like Placebo. The tests need to work on how one can sk ew towards the charitable people, where one easily violates the underlying principles that exists between the groups mainly with the exposure to the ads. There are certain issues related to the sharing of the underlying methodologies with performance in the medical testing. The target group is split with the different groups that tend to receive different treatment and responses. The approach is based on the measurements which are performed at the person level, where the conversions could be measured and identified through desktop or mobile, online or offline methods. The person generally checks and focus on how the influence is there by advertisements on mobile. The unexposed control generally provides the situations where the attribution modelling tends to become redundant. With this it also has a clear interpretation of values related to the total conversions for people to advertising (Williamson, 2016). The measurement is mainly to the clicks through the view-through impact, whe re it is important to focus on how the target audience and the other assigns the tests and the control. The uplift is also calculated through the total conversions which is set in control and is completely independent of the clicks that could be tied to the individuals through pixel or any form of offline data. Recommendations It is important to focus on the approaches that works with the full range of challenges and how multi-touch attribution models are helpful for the individual users to work on different range of modelling techniques. The models are defined with the last click where there are utility and simplicity factors considered as a better alternative. The basic forms are related to the lift testing that randomly split the audience for the control and the assigning of tests. The benefits are related to the incremental impact of campaign which is related to the functions of benchmarking mainly against the intuition. The focus is on the reinforcement of the existing beliefs where the users can view, click or purchase from different devices without being apparent to all the events that are tied to a single person. Conclusion It has been seen that the cross-device usage is unlikely to stop and, so it is important to follow the attribute conversions to prior advertising events for the measurement of the person levels (Williamson, 2016). The person tends to click and moot the points as a result which will be a waste, but the marketing reality is considered important for certain channels that consistently fall under the purchase cycle. References Abuhaiba, I.S. and Eltibi, M.F., 2016. Author Attribution of Arabic Texts Using Extended Probabilistic Context Free Grammar Language Model.International Journal of Intelligent Systems and Applications,8(6), p.27. Bhandari, A., Rama, K., Seth, N., Niranjan, N., Chitalia, P. and Berg, S., 2017, July. Towards an efficient method of modeling Next Best Action for Digital Buyers journey in B2B. InInternational Conference on Machine Learning and Data Mining in Pattern Recognition(pp. 107-116). Springer, Cham. Ghotbifar, F., Marjani, M. and Ramazani, A., 2017. Identifying and assessing the factors affecting skill gap in digital marketing in communication industry companies.Independent Journal of Management Production,8(1). Ji, W., Wang, X. and Zhang, D., 2016, October. A probabilistic multi-touch attribution model for online advertising. InProceedings of the 25th ACM International on Conference on Information and Knowledge Management(pp. 1373-1382). ACM. Neville, K., 2017. Channel attribution modelling using clickstream data from an online store. Sapp, S. and Vaver, J., 2016. Toward Improving Digital Attribution Model Accuracy. Schnabl, S.F., Vaver, J., Satyapal, A., Huang, J. and Jiang, W., Google Inc., 2017.Attribution marketing recommendations. U.S. Patent 9,697,534. Simic, J. and Seymore, S., 2016. Open Oregon Digital: Transforming metadata for the semantic web.Journal of Digital Media Management,5(1), pp.76-92. Williamson, D., 2016. Using lift-testing to measure the true value of digital marketing in the cross-device world.Applied Marketing Analytics,2(2), pp.105-110.

What Causes the Apparent Daily Motions of the Sun and Stars Across the Sky Essay Example For Students

What Causes the Apparent Daily Motions of the Sun and Stars Across the Sky? Essay It is because the Earth is rotating on its axis that we see the sun and stars move across the arc of the sky. Motion its everywhere in the universe. Nothing is really standing still. We humans ride on a sphere that spins on an axis as it revolves around a star, a rotating star in orbit with 100 billion other stars in a whirling galaxy thats moving over 1 million kilometers an hour in an expanding universe. Some of this motion can be viewed over the course of a few minutes, and some requires centuries or millennia to be perceived. Over thousands of years, our ancestors have recorded the repeating events they saw in the sky. We will write a custom essay on What Causes the Apparent Daily Motions of the Sun and Stars Across the Sky? specifically for you for only $16.38 $13.9/page Order now They weren’t able to explain them and worshiped the sky bringing the power and the order of the sky down to Earth for part of their culture. Modern stargazers have the advantage of knowing what causes the motions of the Sun, Moon, planets, and stars. But that only increases their admiration for the ancients ability to track these celestial cycles. When studying the sky for any length of time, like ancient astronomers did, we find very obviously that there is a series of cycles, and these cycles all have different periods to them and Earth rotation on its axis is one of the many celestial cycles we see in the universe in constant motion. Its obvious to anybody, really is the daily cycle, what astronomers call the diurnal cycle. The daily motions, the diurnal cycle we see in the sky are caused by the rotation of the Earth on its axis. When viewed from above Earth, the North Pole, the Earth spins in a counterclockwise direction, eastward (from west to east),. It makes a complete rotation of 360 degrees in a little less than 24 hours (more precisely 23. 9 hours). For this reason, when viewed from the Earth’s surface, the Sun, Moon, and stars appear to rise in the east and set in the west, making a complete rotation of 360 degrees in a little less than 24 hours. So here we are on the Earth, its a big, spinning ball. But to us, attached to this ball, we see the sky moving around us once a day. So you see the Sun rise and the Sun set, the stars rise and the stars set. And that takes, we know, roughly 24 hours. As we see, Earth rotates about its axis at approximately 15 angular degrees per hour. Rotation dictates the length of the diurnal cycle (i. e. , the day/night cycle), and creates time zones with differing local noons. Local noon occurs when the Sun is at the highest point during its daily skyward arch from east to west (i. e. , when the Sun is at its zenith on the celestial meridian).

Huey Newton, Co-Founder of Black Panther Party

Huey Newton, Co-Founder of Black Panther Party Huey Newton was an African American political activist who co-founded the Black Panther Party in 1966. When Newton was convicted for the fatal shooting of a police officer, his imprisonment became a common cause among activists in the United States. The slogan Free Huey appeared on banners and buttons at protests across the country. He was later released after two re-trials resulted in hung juries. Fast Facts: Huey Newton Known For: Co-founder of the Black Panther Party for Self DefenseBorn: February 17, 1942 in Monroe, LouisianaDied: August 23, 1989 in Oakland, CaliforniaEducation: Merritt College (A.A.), University of California at Santa Cruz (B.A., Ph.D.), Oakland City College (law classes, no degree), San Francisco Law School (law classes, no degree)Notable Quote: Political power comes through the barrel of a gun. Early Life and Education Huey P. Newton was born in Monroe, Louisiana, on February 17, 1942. He was named after Huey P. Long, the former governor of Louisiana who became notorious as a radical populist in the early 1930s. In 1945, Newtons family moved to California, drawn by the job opportunities that arose in the Bay Area as a result of the wartime industrial boom. They struggled financially and moved around often throughout Newtons life. He completed high school- which he later described as an experience that nearly killed [his] urge to inquire- without being able to read (he later taught himself). After high school, he earned an A.A. degree from Merritt College and took law school classes at Oakland City College. Starting in his teen years and continuing through college, Newton was arrested for crimes like mostly petty crimes such as vandalism and burglary. In 1965, when he was 22 years old, Newton was arrested and convicted of assault with a deadly weapon and sentenced to six months in jail. Most of his sentence was served in solitary confinement. Founding the Black Panther Party During his time at Oakland City College, Newton joined the Afro-American Association, which inspired him to become politically and socially conscious. He later said that his Oakland public education had made him feel ashamed of being black, but that his shame began to transform into pride once he encountered black activists. He also began reading radical activist literature, including works by Che Guevara and Malcolm X. Newton soon realized that there were few organizations advocating for lower class African Americans in Oakland. In October 1966, he joined up with Bobby Seale to form a new group, which they called the Black Panther Party for Self Defense. The organization was focused on fighting police brutality in Oakland and San Francisco. With Seale as chairman and Newton as minister of defense, the Black Panthers quickly assembled a membership and began patrolling Oakland neighborhoods. When police were spotted interacting with black citizens, the Panthers would approach and inform the civilians of their constitutional rights. Newton took part in such actions, sometimes while brandishing a law book. The organization adopted a uniform of black leather jackets, black berets, and sunglasses. This distinct uniform, as well as their prominent display of guns and bandoliers of shotgun shells, made the Black Panthers highly noticeable. By the spring of 1967, stories about Newton and the Black Panthers began appearing in major publications. Guns and Political Power The Black Panthers encouraged black citizens of Oakland to begin carrying firearms, citing their Constitutional right under the Second Amendment, and tensions between police and the Black Panthers continued to grow. An article published in the New York Times on May 3, 1967 described an incident in which Newton, Seale, and about 30 other Black Panthers strode into the California capitol in Sacramento with their weapons prominently displayed. The story was headlined Armed Negroes Protest Gun Bill. The Black Panthers had arrived in dramatic fashion to voice their opposition to a proposed law against carrying firearms. It seemed the law had been drafted specifically to curtail their activities. Weeks later, in another article in the New York Times, Newton was described as being surrounded by armed followers in an apartment in San Franciscos Haight-Ashbury neighborhood. Newton was quoted as saying, Political power comes through the barrel of a gun. Arrest and Conviction About a year after the Black Panthers first rose to prominence, Newton became entangled in a high-profile legal case. The case centered around the death of John Frey, who died after pulling over Huey Newton and a friend for a traffic stop. Newton was arrested at the scene. In September 1968, he was convicted of voluntary manslaughter and received a sentence of two to 15 years in prison. Newtons incarceration became a major cause among young radicals and activists. Free Huey buttons and banners could be seen at protests and anti-war rallies nationwide, and rallies for Newtons release were held in numerous American cities. At the time, police actions against Black Panthers in other cities made headlines. In May 1970, Newton was granted a new trial. After two trials were held and both resulted in hung juries, the case was dropped and Newton was released. The specific events, as well as Newtons potential culpability, surrounding John Freys death remain uncertain. Later Life Following his release from prison in 1970, Newton resumed leadership of the Black Panthers and began studying at the University of California at Santa Cruz, where he earned a B.A. in 1974. After a period of relative quiet, Newton was charged with the murder of a teenage sex worker named Kathleen Smith. He was also arrested for assaulting his tailor. Newton fled to Cuba, where he lived in exile for three years. In 1977, Newton returned to California, asserting that the political climate in the United States had changed enough that he could receive a fair trial. After juries were deadlocked, Newton was acquitted of the murder of Kathleen Smith. He returned to the Black Panther organization, and also returned to college. In 1980, he received a Ph.D. from the University of California at Santa Cruz. He wrote a thesis about the repression of the Black Panthers. Death and Legacy In the 1980s, Newton grappled with drug addiction and alcohol abuse. He remained involved with neighborhood programs pioneered by the Black Panthers. However, in 1985, he was arrested for embezzling funds. He was later arrested on a weapons charge, and was also suspected of being involved in the drug trade. In the early hours of August 23, 1989, Newton was shot and killed on a street in Oakland, California. His killing was reported on the front page of the New York Times. Tyrone Robinson confessed to the murder, and it was concluded that the killing was connected to Newtons significant debt caused by his cocaine addiction. Today, Newtons legacy is one of leadership within the Black Panther Party, as well as his controversial convictions and allegations of violence. Sources Nagel, Rob. Newton, Huey 1942–1989. Contemporary Black Biography, edited by Barbara Carlisle Bigelow, vol. 2, Gale, 1992, pp. 177-180. Gale Virtual Reference Library.Huey P. Newton. Encyclopedia of World Biography, 2nd ed., vol. 11, Gale, 2004, pp. 367-369. Gale Virtual Reference Library.Spencer, Robyn. Newton, Huey P. Encyclopedia of African-American Culture and History, edited by Colin A. Palmer, 2nd ed., vol. 4, Macmillan Reference USA, 2006, pp. 1649-1651. Gale Virtual Reference Library.Associated Press. Huey Newton Killed; Was a Co-Founder Of Black Panthers. New York Times, 23 August 1989, p. A1.Buursma, Bruce. Newton Slain In Drug Dispute, Police Say. Chicago Tribune, 27 August 1989.

Free Essays on Hypothetical

The first issue in the paper is that â€Å"several males who were seen on the streets wearing dark clothing, and who appeared to the officers to be suspicious looking were taken in to custody for questioning†. This issue raises the question; is the several males looking suspicious enough probable cause for the officers to make an arrest, does it violate the male’s rights of the fourth amendment? The fourth amendment states â€Å"the right of the people to be secure in their persons, houses, papers, and effects, against unreasonable searches and seizures, shall not be violated, and no warrants shall issue, but upon probable cause, supported by oath or affirmation, and particularly describing the place to be searched, and the persons or things to be seized† (Inciardi p. 188). An arrest may be made in two ways: with a warrant or without a warrant. In this case it was without a warrant. To make an arrest the officer must have probable cause and there are two ele ments to probable cause to arrest. The first is that a crime has been committed and the other is that the person to be arrested committed the offense (Stuckey, Roberson, Wallace p. 52). It is unclear to me if because the several males â€Å"looked suspicious† if this makes them a suspect of committing the crime. Another issue to address is that Mr. Troubleshooter was chased, apprehended by citizens, and then held to the ground for approximately fifteen minutes against his will. The first problem is that a private person arrest should be made when a crime has been committed, or attempted, in the presence of the arresting person (Stuckey, Roberson, Wallace p. 51). The arrest must be made upon more than a mere suspicion that a crime had been committed. In this case the citizens arrested Mr. Troubleshooter because of his reputation of being a drug dealer, and his â€Å"brisk walk† towards his apartment with what appeared to be a gun. Although Mr. Troubleshooter may have been w... Free Essays on Hypothetical Free Essays on Hypothetical The first issue in the paper is that â€Å"several males who were seen on the streets wearing dark clothing, and who appeared to the officers to be suspicious looking were taken in to custody for questioning†. This issue raises the question; is the several males looking suspicious enough probable cause for the officers to make an arrest, does it violate the male’s rights of the fourth amendment? The fourth amendment states â€Å"the right of the people to be secure in their persons, houses, papers, and effects, against unreasonable searches and seizures, shall not be violated, and no warrants shall issue, but upon probable cause, supported by oath or affirmation, and particularly describing the place to be searched, and the persons or things to be seized† (Inciardi p. 188). An arrest may be made in two ways: with a warrant or without a warrant. In this case it was without a warrant. To make an arrest the officer must have probable cause and there are two ele ments to probable cause to arrest. The first is that a crime has been committed and the other is that the person to be arrested committed the offense (Stuckey, Roberson, Wallace p. 52). It is unclear to me if because the several males â€Å"looked suspicious† if this makes them a suspect of committing the crime. Another issue to address is that Mr. Troubleshooter was chased, apprehended by citizens, and then held to the ground for approximately fifteen minutes against his will. The first problem is that a private person arrest should be made when a crime has been committed, or attempted, in the presence of the arresting person (Stuckey, Roberson, Wallace p. 51). The arrest must be made upon more than a mere suspicion that a crime had been committed. In this case the citizens arrested Mr. Troubleshooter because of his reputation of being a drug dealer, and his â€Å"brisk walk† towards his apartment with what appeared to be a gun. Although Mr. Troubleshooter may have been w...

Week 8 Discussion Questions Math 156 Personal Statement

Week 8 Discussion Questions Math 156 - Personal Statement Example Multiplication or division can be done by using fractional and division forms which have some advantages and disadvantages. Advantages of using fractional and division forms to multiply and divide are: Fractions allow use of small numbers in calculation which makes it easy to do calculations. If the small number is common to both numerator and denominator then it can be used to simplify or cancel both the denominator and numerator and the result is an easily workable fraction. For example, 25/30, a small number such as 5 can be used to cancel the numerator to 5 and the denominator to 6 so that 5/6 is obtained as the simplest fraction. Fraction division involves flipping the numerator and dominator followed by multiplication and simplified by cross multiplication. This makes it easier to work with fractions than decimals. Decimals are also easily workable if converted to fraction or whole numbers. Disadvantages includes cumbersomeness when working with recurring decimals which requires rounding off which in turn affects accuracy of the obtained answer and also some decimals might not be easily changeable to fractions and some fractions might not be easy to divide and simplify. Fourth grade level entails using mixed numbers, calculating probabilities and learning fractions. Knowledge of fractions can be taught using natural solids such as oranges, chocolate bars and guavas just to mention a few. Fraction is made up of two numbers referred to as numerator (top) and denominator (bottom) separated by horizontal line. This concept can be taught using an orange which is divided into several portions. The children should identify the number of portions which are the denominator. Portion(s) taken way are not included in the final number of the remaining portions which forms the numerator. If the orange is divided amongst 4 children, the fraction is  ¼ and if one child eats his/her portion while others await, then the remaining portion is  ¾. In