The author states that it should be noted that if the distance next to the four changeable lines from P to wherever they traverse the others is identified as a, b, c, as well as d; in stable ratio to bd, the position P moves on a conic segment. A theorem that is not simple to write more pithily in a simple language called the four-line theorem.
For this purpose five random numbers are proposed. Utilizing the guidelines for solving linear equations, five numbers selected on my discretion will be substituted for the value of “x” variable. This way a number will be
This is known to modern mathematics as ‘SIR’ model.
Some individuals are considered to be susceptible. Although they don’t have the disease, there is still chance that they might get infected, for example, if they were in contact with
6.) If a, b are distinct vertices in a connected undirected graph G, the distance from a to b is defined to be the length of a shortest path from a to b (when a = b the distance is defined to be0). For the graph in Fig. 11.9, find the distances from d to (each
Mathematical modeling is the process of describing a system using mathematical concepts and mathematical language. Mathematical models are used in many areas especially in the natural sciences where they are used to
The first class has the widest band being based between 0 and 30 while the other bands are classified in increments of 10 up to 80. One understandable reason for such classification is the small amount of data in this classification in the actors’ data set though this
Under this analysis, the main consideration was the financial health and core performance. Therefore, the selection criterion was based on the extent of debt financing, solidity of cash flow and consistency in revenue generation (Damodaran 56).
From this understanding, the reader can come to appreciate how fundamentally vital education in mathematics is for the future success of the student. Yet, many students believe that they are simply “not good at math”; and that no matter
The y-intercept is 4 that is at (0, 4). As such, there is no start/end point. This is because the graph of the equation goes to infinity (-∞ or +∞) both sides (left and right) of the y-axis.
The x-intercept is 4 that is at (4, 0) and the y-intercept is -2
In our daily life would be rather inactive without the knowledge of mathematics. There are several lines of duties where individuals use basic mathematics in their living. Below is a list of some methods where people use mathematics.
The required region must first be identified and shaded. The shaded part satisfies the equation of the inequality.
Maple rockers. Ozark Furniture Company can obtain at most 3000 board feet of maple lumber for making its classic and modern maple rocking chairs. A classic
The angle of elevation of the slant height of Egyptian pyramids is commonly 44° or 52°. These angles allegedly provide an aesthetic quality to the pyramids. Do you agree that these are the most beautiful
My pet is a cat, which naturally spends a better part of its day in the house.
This does not make it “a potato couch” and; thus, the need to fence my backyard arises. The backyard is of a rectangular shape with its length, L = 2W- 2 and a
It should be mentioned, that the graphical representation allows viewing future values. Consider two equations with two variables: x and y, 5x + y = 13; 4x + 4y = 20 We can easily solve the system of equations and attain the results in the pint form so that the two lines collide at a point in the graph.
popular formula used is P = 2L + 2W where ‘P’ stands for the perimeter whereas variables ‘L’ and ‘W’ refer to the length and the width of the rectangle, respectively.
Application #2: A newly bought rectangular lawn needs to be fenced with 450 yards
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Astonished by vast engineering field and high market demand compelled me to pursue my education in Engineering, and that was why engineering was my first and last choice. Right now, I am doing my B-Engineering from Heriot Watt University. Heriot Watt
f mostly students from minority and disadvantageous social group, was able to convey the probability concept by using basic statements, which described events of their daily lives. Children were able to distinguish differences of those statements describing which events are
When the parabola opens downward, the vertex is the point where the relative minimum of the function occurs and when the parabola opens upward, the vertex is the point where the relative maximum of the function occurs. The daily profit, P of a chain store is
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It tells one of the quantity or size of commodities or values (Pachpatte 1). There are four inequalities symbols, and they include less than (), greater than or equal to (≥), less than or equal to (≤). These symbols are employed in
On each exercise, the type of statistical misrepresentation is identified, detailing how either scenario may not be a reliable source of info or formal query for research purposes.
Comment on this statement taken from a magazine
When plotting for a regression line in the scatter plot, one needs to be careful on how to deal with the outlier values which may not feature anywhere around the regression line (Vonesh 75). The creation of a mathematical
In writing the inequality that represents the region, we initially have to determine the equation of the solid boundary line. The region of interest is enclosed by the x and y axes and the boundary line. It is a
There is clear relationship between, the histogram and the values calculated, for example on the histogram, the mean is around the middle or 100, this is the seam as 94 which was achieved on calculation
(ii).The points in the graph seem to be
This is without forgetting the wide use in computation and operations investigations by researcher and specialists (Cvetković & Dragoš, 7).
The graph theory makes use of different techniques to prove basic results in important areas
Determine the probability of a win for each player.
In my strategy, I have put into consideration all the possible outcomes resulting from any of the remaining cards being dealt. I have calculated probabilities of occurrence of each winning-hand and thus the
The remainder between the B’s and D’s receive an a C. Find the cutoff scores for each letter grade.
8. A machine shop uses 2 lathes to make shafts for electric motors. A sample of 5 shafts from each lathe is checked for quality-control
The present value is the current worth of a future sum of money or stream of cash flows. It represents how much the future earnings of an investment are worth today. It is calculated by discounting the future sums
As part of the design process a sample of eight components was tempered at different temperatures with the following results:
3. A machine produces components whose diameters should be distributed Normally with mean 0.17 cm and Standard Deviation 0.013
Langrage multipliers are helpful when some of the variables in a restraint are redundant (Stewart, 65). For instance, it is not enough to ask, “How can one minimize the gold needed to make a cup?” instead, one
Problem: Ozark Furniture Company can obtain at most 3000 board feet of maple lumber for making its classic and modern maple rocking chairs. A classic maple rocker requires 15 board feet of maple, and a modern rocker
In equation, it is given by --
where the variables ‘a’ and ‘b’ refer to the length measures of the right triangle’s legs while the variable ‘c’ pertains to the hypotenuse. Applications of Pythagorean Theorem are recognized in various
A car with an engine size less than 1.8L considered as the small engine size car and a car with an engine size greater or equal to 1.8L considered as the bigger engine size cars.
The results indicated that there is a strong negative linear