Theorems and Circle Properties in Geometry
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## Theorems
**124**
**CHAPTER 8**
**Theorem 8.1**
**Statement:** In an obtuse-angled triangle, the square on the side opposite to the obtuse angle is equal to the sum of the squares on the sides containing the obtuse angle together with twice the rectangle contained by the sides, and the projection on it of the other.
**Given:** In ∆ABC, m∠C > 90°. Let us denote mAB = c, mAC = b and mAB = c. MAD = h is perpendicular from A to BC (produced) so that mCD = p is the projection of AC on BC.
Read MoreGet to Know Me: A Fun and Personal Questionnaire
About Me
- My name: Naomi
- Last name: Busquets Valero
- Last thing I ate: Yogurt
- Pant size: 38-40
- Style: Mine! 😉
- Hair: Dark brown
- Eye color: Brown and green
- Usual accessories: Bracelets and earrings
- Describe yourself quickly: Simply me
Where I’m From
- Where do I live?: Castellón
- Where am I from?: Estro, Lapepa, Gasca, Benicasim…
My Preferences
- Day or night?: Night! 🎉
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A Personal Reflection Questionnaire
What Am I to You?
- Te fall ben?
- Describeme
- Confías en mí?
- ¿Si quisieras?
- ¿Has soñado sobre mí?
- Dime 3 cualidades
- 3 defectos míos
- Dime
- ¿Tendría que cambiar algo?
- ¿Me quieres?
Personal Information
- My name:
- Where and how did we meet?
- How long have you known me?
- Do you know me?
- ¿Fumas?
- What was the first impression you had of me?
- My age:
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Introduction to Statistics
1. Data Types
The number of pages in a daily newspaper: Discrete Numerical
The colours of medals won at an Olympic Games: Ordinal Categorical
The maximum daily temperature in a city: Continuous Numerical
The brands of televisions in a store: Nominal Categorical
2. Survey Bias
In order to determine which brand of car is the most popular in Australia, a telephone survey conducted on behalf of a motor car company rings 100 households in Adelaide between the hours of 2 and 5 o’clock in the afternoon to ask
Read MoreSocial Research Techniques
1. Likert Scale
Developed by Rensis Likert in the 1930s, the Likert scale is a widely used method for measuring opinions and attitudes. It presents respondents with a series of statements and asks them to indicate their level of agreement or disagreement using a five-point scale:
- Strongly Agree
- Agree
- Indifferent
- Disagree
- Strongly Disagree
Each response is assigned a numerical value, and an overall score is calculated by summing the values of all responses.
2. Probability Sampling
Probability sampling is
Read MoreT-Tests, ANOVA, and Correlation in Statistical Analysis
T-Tests
Understanding T-Distributions
True Statement: The larger the sample size, the more a t distribution resembles a normal curve.
Estimating Population Variance
When estimating the variance of a population from a sample, the sample variance cannot be used directly because it tends to be slightly too small—it underestimates the population variance.
T-Test vs. Z-Test
The difference between a t test for a single sample and a Z test for a single sample lies in how the variance of the known population
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