Notes, abstracts, papers, exams and problems of Other languages

P.Sim: they have

p.con: he is studying

past.S: they watched

p.Con: it was raining

pres.P. You have read

pres.P.C: he has been living

past.P: she had eaten (3c)

past.P.Co: she had been ing

f.Sim: he will go

f.Con: we will be travelling

f.Perf. He will have arrived

f.P.Con: you will have been ing

going to: are going to be married

condicional: i would fly

Dear Mr. Cooper

In reply to your email, I…

I am writing with regard to…

I look forward to hearing from you.

Please, feel free to contact me if you have any questions.

Yours sincerely.

get along : llevarse bien

hurry up: darse prisa

get up: levantarse

look after: cuidar de

turn on/off: encender/apagar

Key Events and Themes in 'The Outsiders'

1. Dally raises his weapon, leading the police to perceive a threat and fatally shoot him.

2. Dally wanted to die because Johnny was dead, and he couldn’t live without him.

3. Ponyboy was bothered by his school friends seeing his house because most of them came from "good homes."

4. He was worried that he and Soda would go to an all-boys home.

5. Ponyboy is acquitted, and the Curtis brothers get to stay together.

6. By the end of the novel, after the deaths of Bob and Johnny, Ponyboy has completely lost his innocence; his grades drop, and his attitude changes.

7. His grades suffer because he became detached, developed a bad attitude, and became depressed.

8. Pony can raise his grade to a C by writing an outstanding... Continue reading "Key Events and Themes in 'The Outsiders' by S.E. Hinton" »

Phrasal Verbs with UP

1. Get on (Subir/montarse)

2. Get on (Ponerse (bien/mal) con alguien, llevar algo)

3. Get on (Hacer progresos)

4. Get on (with somebody) (Tener una buena relación)

5. Get on (with something) (Continuar haciendo algo que tienes que hacer)

6. Look up (at) (Fijarse en algo)

7. Look up (in a dictionary/encyclopedia)

8. Keep up (with) (Llevar el ritmo)

9. Catch up (with somebody) (Alcanzar una velocidad o nivel determinado)

10. Set up (organisation, company, business) (Designar, elegir, seleccionar)

11. Take up (a hobby, a sport, an activity) (Comenzar algo)

12. Fix up (a meeting) (Organizar, arreglar)

13. Grow up (Crecer, hacerse mayor)

14. Bring up (a child) (Levantar, cuidar a un niño, hacerse cargo)

15. Clean/Clear/Tidy UP (Dejar algo

Essential Vocabulary and Phrases

Financial and Personal Well-being

• Be well-off: To be in a good financial situation.
• Make ends meet: To have just enough money to cover expenses.
• Live from hand to mouth: To have barely enough money to survive.
• On the house: Offered for free, paid for by the establishment.
• Take pleasure in: To find enjoyment in something.
• Beyond my reach: Unattainable or too expensive.
• To date: Up until the present time.

Financial Terms

• Inherited: Received property or money after someone's death.
• Property: Real estate or possessions owned by someone.
• Bargain: Something bought at a lower price than usual.
• Refund: An amount of money returned.
• Borrowing: The act of taking a loan.
• Amount: A quantity of something, typically money.
• Receipt: A written

Probability Distributions

Types of Probability Distributions

Normal Distribution

• Used to model continuous data
• Examples: Heights of people, scientific measurements, test scores

Binomial Distribution

• Used to model discrete data with two possible outcomes
• Examples: Number of heads in a coin toss, number of successes in a series of trials

Poisson Distribution

• Used to model the number of events occurring in a fixed interval of time or space
• Examples: Number of phone calls received per hour, number of earthquakes per year

Applications of Probability Distributions

• Sales success
• Launch of new products
• Bidding for contracts
• Quality control
• Hiring staff
• Experimental trials

Calculating Probabilities

Normal Distribution

• Use a calculator or statistical software
• Formula: P(