Geometry Theorems and Formulas: A Quick Reference
Geometry Theorems and Formulas
Theorems and Postulates
- AA (Angle-Angle): If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
- SAS (Side-Angle-Side): If two sides and the included angle of one triangle are proportional to two sides and the included angle of another triangle, then the triangles are similar (ab/de = ac/df).
Shapes
- Opposite angles are always supplementary.
Parallelogram
- Opposite sides are parallel and congruent.
- Opposite angles are congruent.
Understanding Sales Invoices: Key Elements & Regulations
Understanding Sales Invoices
1. An invoice is a document that legally justifies a sale and purchase transaction, constructed in line with data from invoices and order forms. It is issued by the seller of the property.
The invoice differs from a sales slip in that it also includes the characteristics of the rated slip, expenses, transport, insurance, freight, and discounts.
2. It is created using data from invoices and order notes.
3. It is issued by the seller of the property.
4. The invoice includes
Read MoreProbability Exercises: Binomial, Poisson, and Normal Distributions
Binomial Distribution
- What is the probability of getting three prime numbers in five rolls of a die?
- When flipping a fair coin, what is the probability of getting at least four heads in five flips?
- The state of Pennsylvania has a daily lottery. Every night, a three-digit number is chosen. What is the probability of obtaining a number less than 100 more than five times in a week?
- You are hunting the whale Moby Dick. Every day, you check your ship with a boat of harpooners. There is a probability of 2/
Mastering Essential Math Concepts: Algebra to Statistics
Multiplying Binomials
Multiply (3r – 1)(2r + 3).
Use the FOIL method, keeping the largest exponent on the left. Multiply each number on the left by both numbers on the right.
This gives you 6r2 + 9r – 2r – 3. Combine like terms, 9r – 2r = 7r. This gives you (6r2 + 7r – 3). This is the answer.
Dividing Fractions and Exponents
Divide:
When dividing two fractions, cross-multiply. When dividing exponents, subtract them. So:
Adding and Simplifying Algebraic Fractions
Add and simplify:
Finding X and Y Intercepts
Find
Read MoreSolved Problems in Probability and Statistics
Probability and Statistics Problems: Solutions
1. FSU Volleyball Team: Probability of Losing Both Games
The probability that the FSU volleyball team wins a game is 0.8. If the team has two games this weekend, assuming independence of events, what is the probability that the team will lose both games?
P(A) = (1 – 0.8) = 0.2
P(B) = (1 – 0.8) = 0.2
P(losing both games) = 0.2 x 0.2 = 0.04
2. Probability of at Least Two Female Babies
If a girl gives birth to 3 babies, what is the probability that she would
Read MoreSampling Plans and Data Preparation in Market Research
Topic 5: Sampling Plan and Data Collection
Sample or Census
Differences: A census is a complete enumeration of all individuals and asks them what their opinion is. The problem is that it is impossible to survey the entire population. Sampling involves choosing people to learn something about the population.
Sampling Design Process
- Determine the Target Population
- Determine the Sampling Frame (how to identify them)
- Select a Sampling Technique
Sampling Techniques
Non-Probability Sampling Techniques
- Convenience