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The basic requirement is that for a sample in size n, all possible samples of the size must have an equal chance of being selected from the population. In producing randomness numbers various methods are used however some produce errors which make the data samples and unrepresentative of the population.
Increasing the damping ratio will lead to decreased comfort due to increased oscillation or vibration changes thus changing the frequencies for a compensated time. This uncomfortable oscillatory response will make the passenger. When decreasing the damping ratio there will be reduced uncomfortable oscillatory response leading to increased comfort.
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Some of the tradeoffs include laying off of excess workers which may result in unemployment hence leading to the reduction in the workforce. The trade-off can lead to employing a more sophisticated technology which may result in additional expenses to the firm. Increased cost means a reduction of the profits hence the benefit for the short run.
The function enables the calculation of larger amounts of options at fast speeds which is good for investors with a large amount of data, therefore, utilizes this model extensively. However, the model’s approach of calculating options at their expiration makes it weaker than the Binomial model whose calculations are done on several internals.
It is possible to conceive that the volatility that is ascertained by using the statistics will be more accurate than the small determined from data given the larger frequencies of statistics for every day. Although in some respects such results point at the success of ascertaining simple volatility estimation from high-frequency statistics.
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Taguchi method entails the reduction of process variations through the design of experiment processes that are robust. This method was brought about by Taguchi who came up with a method for the design of experiments that was aimed at investigating how various process parameters impact the variance and mean characteristics for process performance.
It is equally important to note that the value S squared represents the characteristic equation of this differential equation. After getting the above equation, we go a step further and divide the equation on the left-hand side with that on the right-hand side, therefore making Y the subject of the resulting equation.
No relationship exists between driving distance and scoring average as well as between driving accuracy. Greens in regulation and scoring average have a negative linear relationship; higher values of greens in regulation are associated with lower-scoring norms. Also, driving distance and driving accuracy have a negative linear relationship.
Detection of these characteristics is essential in data compression and image segmentation. Three methods edge detection, filtering, canny, and Roberts were used. It was observed that Canny and Roberts misjudged the pixel of the object however they increased the robustness to noise of the image as there is image variation output.
The answers using equations are the same as 7.24 or -1.25 using quadratic formulae while the Newton method gives an answer -1.24. Then f is the set of all ordered couples of the form〈x,x^2+ 2〉, for x a real number. On the other hand, for any particular real number x, f(x) is simply the real number x2 + 2.
The coefficient of b11 is one. It is the identity matrix element that determines the inverse and can also give the matrix's roots. Using a negative or the inverse of the matrix gives a function with a negative sign. Since the prices of any commodity cannot be stated in negatives, the coefficient of b11 has to be positive.
A residual plot that seems to trend upwards or downwards such as this is almost certainly symptomatic of a poor ambiguity fix and should be investigated and corrected. Corrective action may be to raise the elevation mask, eliminate some satellites, change the start and/or finish times, or as a last resort remeasure the observation.
The paper "Discrete Mathematics For Computing" is a great example of an assignment on mathematics. The expression is neither a tautology nor a contradiction because the values are a combination of True and False for all the premises. When a compound statement is true for every value of all its truth values are true for every truth-values of its assignments.
Many real-life situations also need statistics therefore it is important to learn these skills so as we can have solutions to our daily problems. As we have seen statistics can also help in the prediction of the future hence it is of very great importance in avoiding future problems by taking precautions after being warned by statistics.
The owners of the business have preferred a comprehensive marketing strategy that involves the use of the Internet for online booking. This will be an improvement from the current mode of booking that is done by phone by an agent. So as to implement this system, George and Forrester need to be varnished d with information on the likelihood of its use by travelers.
SWOT analyses are conducted to compare the retailers’ competitive positions while a PEST analysis is used to analyze the factors beyond the control of firms that affect the retail industry. A Porter’s Five Forces analysis is applied to show Walmart’s and Tesco’s position in the market. The attractiveness of the retail industry is discussed followed by an analysis of Walmart’s current position.
The Nine Chapters' whole designation on Mathematical Art is presented on two bronze typical measures dated 179 CE. However, there are claims that the book existed before in various titles. According to intellectuals, Chinese mathematics and ancient Mediterranean world mathematics had evolved more or less unconventionally.
From the above representations, it is clear that the Australian female population rated their health status as excellent or very good. Out of 650 female participants, 53% (345 female participants) believe their health is excellent or very good, 27% (178 female participants) believe their health is good and 20% (127 female participants) believe their health is fair or poor.
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Society is in a process of transition to the information age society. The world is changing fast; nonetheless, the education system is being left behind concerning technology use. The current education model in Australia is not satisfactory. There is widespread agreement that Australia is not keeping pace to meet the challenges of the educational revolution (Spender & Stewart 2002).
The research used a qualitative research methodology, as well as secondary methods of collecting data. According to the research findings, a single-sex education environment is better than a coeducational setting in terms of students’ mathematics. The study concluded that single-sex schooling positively influences female students’ mathematics performance as compared to coeducational schooling.
In light of the scenario that occurred between Betty and her employer (the security alarm firm), the provisions of this law can be used to determine the rights and obligations of each party. The Fair Trade Act (FWA) and the law of contracts can be used in raising the legal implications of this scenario (Grant, 2001).
Teachers with positive attitudes tend to have positive feelings in regard to situations and students, have a high sense of purpose, passion, and excitement, have a creative approach to problems; have a very resourceful, enthusiastic, and positive thinking as well as having the thought of making a good contribution through their teaching career (Brooks and Brooks, 1993).
Organisations exist in a particular set of regions or country which provides multiple contexts that influence how the organisation operates and what it produces. Adcock and Caroline (2001) describe that the external environment tends to analyse the forces outside organisations boundaries that help in shaping the organisation.
When the spring is stretched to some point and then released the string will vibrate in a harmonic motion.ProcedureA spring of negligible mass at its normal state has a length of a, the stiffness of the spring is given by k which is a value greater than zero as shown in Figure 1a.
The vertical component of relative vorticity is equivalent to circulation ÷ area @ the limit of region approaching 0. Even if the point circulation illustrated takes place within the x-y (horizontal) plane, it is taken to be a vertical component (z-component) since the circulation is positive around the vertical (z) axis (Masaki 2004).
Pell numbers arise in olden times and most remarkably in rational approximation to solving the square root of 2. If two integers, that is x and y form an answer to a Pell equation. The denominator for every fraction is a Pell number; the numerator is the addition of a Pell number and its antecedent in the Pell numbers series.
The ISTE’s journal addresses the teaching staff and assists them to use ICT in their teaching practice. It, therefore, acts like a roadmap through which the teachers use technology-integrated measures in their teaching practice. Since it was launched in 1998, it has really improved the learning and teaching techniques in schools and other learning institutions.
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Information and Communication Technology should focus on learning and curriculum. Various kinds of software may be used to fulfill different educational objectives. For instance, tutorial software can help students in developing specific skills. Further, interactive and exploratory software can help teachers to execute reform-oriented constructivist ways.
Already in the 18th century, the potential of using games as a pedagogical tool was already brought to the fore and, in the 1920’s at least in the US there was an attempt to systematically incorporate games in school curricula. However, it was only during the 1950s and 1960’s that games began to be part of the school systems.
The consequences illustrate that even as there are currently many more computers existing in schools, access vestiges a key problem to their augmented use as mathematical education tools. There is also an alteration in the types of software used in computers, away from particular programs and towards common software, particularly the spreadsheet.
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Conventional wisdom dictates that boys are better than girls in science subjects and mathematics. While no scientific proof is available to verify this claim, empirical evidence sways between approving this claim and at the same time disapproving it by showing that there is no difference in performance across the gender divide.
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For teachers to help their students overcome their problems with mathematics, reviewing such studies and implementing the suggested strategies is of the utmost importance. Teachers must first recognize the common problems and their causes in order to apply the most efficient teaching methods with the goal to get students to correctly use mathematical concepts in the classroom and out.
Fractions are required for geometry and numbers, which makes up the essence of Mathematics. However, many students continue to experience difficulties when it comes to understanding them, hence the existence of a notion that fractions are ‘hard’. The paper describes some of the methods that exist that are used to teach fractions in schools.
There are differences evident in the two tests, the first test uses the T table to analyze the relationship and test the hypothesis whether the two mean are equal or different, the nonparametric test on the other hand test the rank of the two variables and the number of positive and negative ranks in the data.
Mathematics is the means of giving us this ability and thereby leading a proper and systematic life. Mathematics has a bigger role in the maintenance of the academic discipline than studies that can lead to a steady and well-organized lifestyle. According to the philosophical survey made by Benjamin Peirce, mathematics is "the science that draws necessary conclusions" (Boyer, Carl B, 1991).
The motion of bacteria like Escherichia coli is similar to a random walk problem, the motion is a “smooth run” interspersed by brief tumbling periods during which the bacterium chooses a new direction. The bacterium moves away from repellents or towards attractants by modifying its tumbling frequency.
The knowledge of Babylonian mathematics comes from clay tablets unearthed in the 1850s. They were written in Cuneiform and the tablets were inscribed while the clay was still moist. Ancient Sumerians give us evidence of written mathematics. The Sumerians contributed greatly to building the ancient civilization in Mesopotamia.
Public transportation has another advantage speed. The average speed of vehicles is eighty miles per hour on the no-congestion freeway. But, such subways and electrical trains are traveling with an average speed of 160 miles per hour and this speed is upgrading with technique development. On the contrary, 80 miles per hour seems a maximum speed for vehicles because the drive would be very dangerous when the speed excesses 80 miles per hour.
The paper "Multiple Regression Analysis & Modelling" is a great example of mathematics coursework. The correlation coefficient shows the relatedness of the variables in consideration. When the correction coefficient is negative, it means that the relationship is negative and if it is positive it means the relationship between the variables is positive.
The paper “Applying Management to Science” is a worthy variant of the math problem on mathematics. Based on the charges levied by common carrier tracks for the transportation of each motor from the three different harbors to the four assembling plants, a decision is made on how many motors from which harbor are taken to which assembling plan while incurring the least cost.
In his book, Newton introduces two principles that define the laws of derivatives. The first law stipulates that a body subject to a force has the same acceleration in the same direction as the force with which is proportional to the force and inversely proportional to the mass(Newton, 1687), thus he develops a formula that captures this statement as (F=ma).
It is extensively used in business operations and different financial institutions (J.P. Bouchaud). A restricted dimensional vector space is the fundamental requirement of matrix analysis (Roger A. Horn). Vector space basically indicates that a complete set of vectors is enclosed in a binary field which subsequently helps in binary operations (Matrix Algebra and Applications).
Mathematics (Discussion Question week 7) Systems of equations can be solved by graphing, using substitution, or elimination. What are the pros and cons of each method? Which method do you like best? Why?
Systems of equations can be solved either by
Week One Discussion: Domains of Rational Expressions In simple words, the domain is the values (input) that go into a function (or a relation). In Real Number System, division by a zero is not defined that is it cannot be done. A rational number is
Since fractions are great numbers with approximately five interconnected and would-be obvious features between them, only through keen observation will individuals perceive those fractions from those five important dissimilarities. Therefore teaching rational fractions in a foundational stage need to lay emphasis on the dimensions of such distinctions.
The researcher began by mentioning that economic integration among nations offers a broad range of benefits including economies of scale in production, greater specialization for local producers, efficiency in production and an increase in direct foreign investment inflows. The researcher used a clear statement of the research question that summarized the research purpose.
The Hex theorem is intuitive, but it requires invoking complicated topological results to prove it. John Nash proved hex theorem, but he never published his proof (Weinberger pp. 380). David Gale provided a simple graphical explanation of the theorem showing equivalence between Brouwer Fixed Point Theorem and Hex Theorem.
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Celebrated motivational speakers understand this concept and use good conversations to inspire their audiences. Words are used to gain new experiences and improve the previous ones. Individuals gain experiences through hearing and perceiving the written or spoken word. Therefore, an individual may use prior experiences to acquire new perceptions about another person.
Gambling is defined as the staking or pledging of valuable items such as money and property on a result that is partially determined by chance. There are three major categories of gambling, and these include: betting, gaming, and lotteries (Rickwood, et al 1).