Notes, abstracts, papers, exams and problems of Mathematics

1) If a toy company is planning to introduce 3 new toys next Christmas. The toys sales can be a success or a failure, what is the probability that at least 2 of the toys are a success?

FFF FFS FSF FSS 4/8 = ½ = 0.5

S SFF SFS SSF SSS

For problems 2 and 3: a guitar manufacturer has an average daily production of 60 units, with a standard deviation of 7 units per day. If the guitar production distribution is mound shape:

2) What percentage of days in a month will have a daily production between 53 and 74 units?

53

3) What percentage of days in a month will have a daily production of more than 67 units?

x>67 = 16%

4) A combination lock system has three ten-digit (0 to 9) number wheels side by side. How many four-digit opening numbers are possible if... Continue reading "Probability and Statistics Problems with Solutions" »

Dear Sir Lucas,

Our company is looking for supplies of offices supplies. We would be grateful if you could send us a quote for theitems below.

• 3 black and white photocopier
• 1 colour photocopier
• 10 boxes of paper for printer

Our payment terms are 60 days after delivery date.

In addition, I would like to receive a catalogue. Please let me know what action you propone to take about our payment terms.

Our company would be pleased to work with you.

Your faithfully,

Jose Luis Serrano

Managing director

Dear Mr. Serrano,

Thank you for your letter regarding you quote, our gross prices are the following:

• 3 black and white photocopier: 0,30€/ unit
• 1 colour photocopier: 0,10€/unit
• 10 boxes of paper for printer: 7,72€/unit

The price transport is 156€ (the price... Continue reading "Sin título 1" »

unit 14.WORKING WITH THE TEXT

1.‐ Niamh is the student participating in the Erasmus pro

2.‐ a.‐ “we should all apply for it.” Recommendation that

all students apply for the Erasmus project b.‐ “we all

were still grateful” they were grateful despite not getting

what they wanted. C.‐ “After filling out papers and

forms” Completing the paperwork for the project

d.‐ “I would like to set up” she wants to begin the

creation of something. E.‐ “regardless of studying

Spanish for a year.” Despite studying Spanish during one

year she knew none. 3.‐ a.‐ It was good to know

someone spoke English. B.‐ They took him to the local

farm. C.‐ Because she gained experience and that would

be useful in the future.

VOCABULARY a.‐ English... Continue reading "Concept of education" »

Write your tLecture 1

Descriptive statistics: Describe and summarize the data from the sample.

Probability models describe a model For the population which can be used to make probability statements about what Can be seen in the sample.

Statistical Inference goes in the Other direction. It uses the data in the sample to make inference about Features of  the population with Associated confidence and/or error bounds.

SPSS: Rows are subjects/units which are also Referred to as cases.

Columns are Things which are being measured on the cases. These are called variables.

Examples:

Obtaining Frequency tables:

Analyze -> Descriptive Stats -> Frequencies

Bar Graph: Graphs -> Legacy Dialog -> Bars -> Simple -> Category Axis (zyg)

Pie Chart:... Continue reading "Blood test "solt" »

7.47%

35.72307692

Statistics: The Science of Organizing Data

Statistics is the science of organizing data to draw conclusions or answer questions.

Descriptive Statistics

Descriptive statistics describe data through numerical summaries and graphs.

Variables

Variables are characteristics of individuals within the population.

Discrete and Continuous Variables

Discrete variables are counted, while continuous variables are measured.

Nominal and Ordinal Variables

Nominal variables are named, while ordinal variables are ranked or ordered.

Interval and Ratio Variables

Interval variables have no meaningful zero and equal intervals between values, while ratio variables have a meaningful zero.

Types of Variables in a Study

The response variable is what is being studied, the explanatory... Continue reading "Introduction to Statistics" »

Vocabulary Builder: 35 Essential Words

A

1. Agonized

Manifesting, suffering, or characterized by great physical or mental pain.

2. Ample

Large and accommodating.

3. Assent

The expression of approval or agreement.

B

4. Befall

(Of something bad) happen to someone.

C

5. Chariots

A two-wheeled horse-drawn vehicle used in ancient warfare and racing.

6. Conceive

Become pregnant with (a child). Form or devise (a plan or idea) in the mind.

7. Cordial

Friendly, warm.

D

8. Dews

Moisture condensed from the atmosphere, especially at night, and deposited in the form of small drops upon any cool surface.

9. Divine

Of, from, or like God or a god.

10. Doe

Female deer.

F

11. Foe

An enemy or opponent.

G

12. Gossamer

Used to refer to something very light, thin, and insubstantial or delicate.... Continue reading "Vocabulary Builder: 35 Essential Words with Definitions" »

1. Give a direct proof of the following: “If x is an odd integer and y is an even integer, then x + y is odd”.

Suppose x = 2k + 1, y = 2l. Therefore x + y = 2k + 1 + 2l = 2(k + l) + 1, which is odd.

2. Consider the following theorem: If n is an even integer, then n + 1 is odd. Give a proof by contraposition of this theorem.

Suppose n + 1 is even. Therefore n + 1 = 2k. Therefore n = 2k − 1 = 2(k − 1) + 1, which is odd

3. Consider the following theorem: If n is an even integer, then n + 1 is odd. Give a proof by contradiction of this theorem.

Suppose n = 2k but n + 1 = 2l. Therefore 2k + 1 = 2l (even = odd), which is a contradiction

4. Prove the following theorem: n is even if and only if n2 is even.

If n is even, then n2 = (2k)2 = 2(2k2), which

Personal profile and key skills

A Person who uses all his knowledge to obtain the best results in the company and Able to generate an environment of trust with my colleagues to work effectively

Employement history

Apple, Coca Cola  Samsung and  Lamborghini  S.A.De Cv

Responsibilities

Advising  Each of our clients to helping  them with the purchases they need and apply Sales techniques to generate income.

Archivievements

Increase in Sales in less than a month, new real customers and the expansion of a new Market

Education

§UTVT, Mtr. In International Business

§Dr.  In Political Marketing

Hobbies and interest

§reading business Books

§playing soccer and Chess

§learning the Chinese language

§teaching sales Techniques