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Relationship between Slope and Angle
[Name of the Institute]
Slope and Angel
Slope of a Straight Line
Let l is a straight line joining two points P1(x1, y1) and P2(x2, y2). The slope of l is given by
(y2 - y1)/(x2 - x1)... (1)
Thus, slope of a straight line is the ratio of the ...

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Techniques for solving linear equations and linear inequalities are similar
Techniques for solving linear equations and linear inequalities are similar
Introduction
In mathematics, linear equations involve a particular variables and in one equation for which the exact value of unknown variable should be found out. There are various methods to solve the ...

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LINEAR
Linear System of Equations
Linear System of Equations
Available Data
Price Cell phone A4 = $ 35.00 (X numbers)
Price Smartphone Z20 = $ 50.00 (Y numbers)
Total sales in Volume = 51
Total Sales in Amount = $ 2,200
Linear Equation
X + Y = 51……… Equation (1)
35X + 50Y = 2220 ………. Equation (2)
Solution (Linear Equation)
Multiply ...

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MEAN SAT MATH SCORE FOR THE STUDENTS 500?
Is the mean SAT math score for the students of MY school 500?
Is the mean SAT math score for the students of MY school 500?
Introduction
The following test is prepared on the students of MY School. The students of the years 2009 - ...

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BIOSTATICS
Biostatics
Biostatistics Problems
Chapter 9 Problems 9.4
We use a paired t test, where di = (HgbA1c before - HgbA1c 3 months after) for the ith subject and d = -0.075, sd= 0.821, n = 8. We have the test statistic
Since t 7.975 = >/t/, we accept H0 at ...

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EXPONENTIAL MODELING AND LOGARITHMIC MODELING
Exponential Modeling and Logarithmic Modeling
Exponential Modeling and Logarithmic Modeling
Exponential Modeling
Question 1
During the 1980s the population of a certain city went from 100,000 to 205,000. Populations by Year are listed in the table below.
Year
1980
1981
1982
1983
1984
1985
1986
1987
1988
1989
Population in thousands
100
108
117
127
138
149
162
175
190
205
This data is approximated well by the exponential growth model ...

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Quadratic Equations
Quadratic Equations
Question 1
Any equation of the sort Ax2 + Bx + C = 0, which has a degree of 2 is called a Quadratic Equation. There are numerous methods of solving a quadratic equation. The most commonly used methods are; Factorization, Completing the squares method, Using quadratic formula and ...

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Applied Mathematics
Applied Mathematics
Question 1
= [(1)4 - (1)2 + 3(1)] - [(0)4 - (0)2 + 3(0)] = 3
Question 2
The function that represents the total resale value = 250000 - (3800t - 38000)
The price of the commodity after 3 years will be Cost - Depreciation i.e.
250000 - 3800(3) ...

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ASSIGNMENT
Quantitative Methods
Quantitative Methods
Introduction
Probability is the branch of pure mathematics which corresponds to statistics in applied mathematics. It began as the study of chance, and especially of games of chance, in 16th century France with Blaise Pascal (1623 - 1662), who was paid by a nobleman to find out ...

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QUANTITATIVE REASONING
QUANTITATIVE REASONING
Sets
Set theory is a branch of mathematics that studies the properties of sets. Sets are abstract collections of objects, considered as objects in them, and are a basic tool in the formulation of any mathematical theory. Moreover, the set theory is rich enough to build the rest of ...