Golden Education

Other Source Ringkasan Teori & Rumus Variabel Acak Kontinu 1. Definisi Variabel Acak Kontinu Variabel acak kontinu X dapat memiliki nilai apa pun dalam interval kontinu . Contoh: tinggi badan, waktu tunggu, suhu, laju peluruhan radioaktif. 2. Fungsi Kepadatan Peluang (PDF) Syarat PDF f(x) : 1. f(x) ≥ 0 untuk semua x 2. ∫ -∞ ∞ f(x) dx = 1 (total luas = 1) Grafik PDF f(x) x 3. Menghitung Peluang Karena P(X = a) = 0 , peluang hanya bisa dihitung untuk interval: P(a ≤ X ≤ b) = ∫ a b f(x) dx Untuk grafik sederhana bisa juga dengan geometri (luas segiempat, trapesium, segitiga). 4. Nilai Tengah (Median) Median m adalah nilai yang memenuhi: ∫ -∞ m f(x) dx = 0.5 Intuisi: letak vertikal yang membelah luas kurva menjadi dua bagian sama besar. 5. Persentil Umum Persentil- p (0 < p < 1) adalah q sedemikian hingga: ∫ -∞ q f(x) dx = p 6. Nilai Harapan (Mean) E(X) = μ = ∫ -∞ ∞ x f(x) dx 7. Varia...

Quiz 1: Fullscreen Mode Other Quiz Lines, Angles and Shapes - Theory and Formulas 3.1 Lines and Angles Types of Angles Angles can be classified based on their size: Type Size Example Acute angle Less than 90° 30°, 45°, 70° Right angle Exactly 90° Corner of a book Obtuse angle More than 90° but less than 180° 100°, 120°, 150° Reflex angle More than 180° but less than 360° 200°, 270°, 300° Special Pairs of Angles Complementary Angles: Two angles that add up to 90° . Supplementary Angles: Two angles that add up to 180° . Fundamental Angle Rules Angles on a Straight Line: The sum of angles on a straight line is 180° . ∑ ∠ on line = 180° Angles Around a Point: The sum of all angles around a single point is 360° . ∑ ...

Logarithmic & Exponential Functions All-in-One Theory Sheet 2.1 Logarithms to Base 10 Definition: If 10 x = y , then log 10 y = x (written log y for short). ┌-----┐ │ 10 │ │ ^ │ ← Exponent │ y │ └-----┘ log 1000 = 3 because 10³ = 1000 log 0.01 = –2 because 10 –2 = 0.01 2.2 Logarithms to Any Base a Definition: If a x = y with a > 0 and a ≠ 1 , then log a y = x . log₂ 32 = 5 because 2⁵ = 32 log₅ 1 = 0 because 5⁰ = 1 2.3 The Three Laws of Logarithms ┌-------┐ │ Laws │ └-------┘ Product: log a (xy) = log a x + log a y Quotient: log a (x / y) = log a x – log a y Power: log a (x n ) = n log a x 2.4 Solving Logarithmic Equations Golden Rule: Logs only exist for positive numbers. Use the laws to get a single log on each side. Drop the log...

Scientific Notation Quiz Scientific Notation By Mr Agus Salim Score: 0 / 100 Question 1 of 20 Convert the following number to scientific notation: 23500 Answer in format: a.bc × 10^n Enter each digit and exponent separately below: First digit (a): Second digit (b): Third digit (c): ...

Represent as Simplest Fraction By Mr Agus Salim Represent as Simplest Fraction By Mr Agus Salim Question 1 / 20 = / Submit Finish! Reset Additional Quiz Represent as Simplest Fraction Handout for Grade 8-10 Students Key Points Converting decimals to simplest fractions involves turning terminating decimals (e.g., 0.75) and repeating decimals (e.g., 0.666...) into fractions and simplifying them. Terminating decimals are converted by writing them as fractions with denominators as powers of 10, then simplifying. Repeating decimals use an algebraic method to eliminate the repeating part. Simplifying fractions requires finding the greatest common divisor (GCD) to reduce the fraction to its simplest form. Converting Terminating Decimals Terminating decimals, like 0.75, end after a finite number of dig...

Number Pattern Quiz Number Pattern Question: 1 /20 Score: 0 Submit Answer FINISH! Total Score: 0 /100 Start New Quiz Number Pattern Theory & Formulas 1. Arithmetic Sequences Definition A sequence where each term increases or decreases by a constant difference . an = a₁ + (n-1)d Where: an = nth term a₁ = first term d = common difference n = position of term ...

📊 Addition and Subtraction within 10,000 Question 1 of 20 Score: 0 / 100 Loading question... Submit Answer Next Question 🎉 FINISH! 🎉 Your Score: 0 / 100 🔄 Start New Quiz additional question Addition and Subtraction within 10,000 Addition and Subtraction within 10,000 In these notes, we will explore how to add and subtract numbers up to 10,000. This includes simple operations without regrouping, operations requiring regrouping, mental strategies, and solving word problems using these skills. 1. Simple Addition within 10,000 Simple addition involves adding numbers where the sum of digits in each place value (ones, tens, hundreds, thousands) is less than 10, so no regr...