Understanding Budgets, Orders, Deliveries, and Invoices

Budget

A budget is a document in which a company or customer information professional determines product costs or services.

Important Notes:

  • Cost of materials or products.
  • Time a professional will dedicate to a client and their fee rate.
  • Contribution to general consultation costs.

Other Information:

Complete and detailed description of the service to be provided, unit price of each product or service, and total price to charge customers.

Things to be Aware Of:

  • Support services VAT.
  • VAT not included.
  • VAT exempt
Read More

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.
Read More

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 More

Probability Exercises: Binomial, Poisson, and Normal Distributions

Binomial Distribution

  1. What is the probability of getting three prime numbers in five rolls of a die?
  2. When flipping a fair coin, what is the probability of getting at least four heads in five flips?
  3. 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?
  4. You are hunting the whale Moby Dick. Every day, you check your ship with a boat of harpooners. There is a probability of 2/
Read More

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:

Equation

When dividing two fractions, cross-multiply. When dividing exponents, subtract them. So:

Equation


Adding and Simplifying Algebraic Fractions

Add and simplify:

Equation


Finding X and Y Intercepts

Find

Read More

Solved 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 More