Understanding Quantitative Data Collection in Ecology
Quantitative data collection in the ecology of a habitat, community, or town involves interpreting collected information to draw conclusions.
Population statistics encompass all the data from which we wish to draw conclusions.
Statistical sample: A statistical sample is a randomly selected subset of the statistical population.
Statistics can be divided into descriptive analysis and statistical inference.
Descriptive analysis: This involves comments, graphics, tabular data, or numerical data that allow
Read MoreSolving Mixture and Differential Equations: Step-by-Step
Mixture Problems and Differential Equations
This document presents solutions to two types of mathematical problems: mixture problems and differential equations. The solutions are presented step-by-step, with explanations.
2.3.35 Mixture Problems
A tank contains 500L of water with 0.2 kg of salt. Initially, there are 5 kg of salt in the tank. The inflow and outflow rates are 5 L/min. We will determine the concentration at 10 minutes and after a leak develops, at 20 minutes.
a) Concentration at 10 minutes
Let
Read MoreProbability Problems: Discounts, Training, and Repairs
Sample Question (1) During its grand opening week, Stickler’s bicycle shop offers a “wheel of discount savings.” After customers select the items they wish to purchase, they spin the wheel to determine the discount they will receive. The wheel is divided into 12 equal slices. Six slices are red and award a 10% discount, three slices are white and award a 20% discount, and two slices are blue and award a 40% discount. The remaining slice is gold and awards a 100% discount! 20 10 10 10 100 40 10 10
Mastering Polynomial Multiplication: Rules and Examples
Rules of Exponents for Multiplication of Polynomials
Rule #1: Rule of Exponent 1
If a is a real number, then a = a1.
This rule states that when a variable has no exponent, its exponent is one (1).
Examples:
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- 51 = 5
- (-6)1 = -6
- (3a3b4)1 = 3a3b4
Rule #2: Multiplication of Powers
If a is any real number and m, n are positive integers, then
am · an = am + n
This means that when we multiply exponents with equal bases, we add the exponents.
Examples:
- x7 · x8 = x7 + 8 = x15
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- y4 · y6 = y4 + 6 = y10
(-4)2 · (-4) = (
Read MoreUnderstanding Population, Sampling, and Research Methods
Understanding Population and Sampling in Research
Population: The entire group (of individuals or objects) that we want to know something about.
Population of Interest: A group in which the researcher has an interest in drawing conclusions from the study. Examples include ‘the population of Asia’ or ‘the population of Singapore’.
Population Parameter: A numerical fact about a population. These are constants.
Sample: A proportion of the population selected for the study. This is preferred over
Read MoreFemale Political Empowerment and Global Economic Disparities
Female Empowerment in Politics (1997)
1.(a) Referring to the graph, describe how female empowerment in politics varied between regions in 1997.
Scandinavia had the highest female representation in government, at approximately 36% [1 mark]. The Middle East had the lowest, at around 3% [1 mark]. The rest of the world averaged between 10% and 14% [1 mark].
Note: Responses lacking quantification or only listing values should be awarded a maximum of [2 marks].