Probability & Combinations nCr Word Problem Involving Defective Items @MariosMathTutoring

Uploaded July 2024 | Updated September 2026, 2 weeks ago

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Probability & Combinations nCr Word Problem Involving Defective Items

$Half Angle Formulas - How to Use (3 Examples) Unlock the power of half-angle formulas to find exact trigonometric values for angles not directly on the unit circle! Marios Math Tutoring demonstrates how to apply the half-angle identities for sine, cosine, and tangent with three detailed examples. Learn how to determine the correct sign (positive or negative) based on the original half angles quadrant and simplify complex fractions to arrive at precise answers. In this video, youll discover: 0:00 Introduction to Half-Angle Formulas 0:20 Review of Half-Angle Formulas for Sine, Cosine, and Tangent 0:50 Example 1: Finding the Exact Value of sin(112.5°) 1:10 Determining the Sign (Positive/Negative) Based on the Original Angles Quadrant 1:50 Substituting into the Half-Angle Sine Formula 2:10 Simplifying the Complex Fraction 3:00 Final Exact Value for sin(112.5°) 3:20 Example 2: Finding the Exact Value of cos(11π/12) 3:30 Converting Radians to Degrees (165°) 3:50 Determining the Sign (Positive/Negative) for cos(165°) 4:20 Substituting into the Half-Angle Cosine Formula 5:00 Simplifying the Complex Fraction 5:50 Final Exact Value for cos(11π/12) 6:10 Example 3: Finding the Exact Value of tan(105°) 6:20 Doubling the Angle to Use a Unit Circle Value (210°) 6:40 Choosing a Tangent Half-Angle Formula 7:00 Substituting Unit Circle Values for cos(210°) and sin(210°) 8:00 Simplifying the Complex Fraction and Rationalizing Master these half-angle formulas to confidently find exact trigonometric values for a wider range of angles! #HalfAngleFormulas #Trigonometry #ExactValues #UnitCircle #Precalculus #TrigIdentities #MathTutorial #MathHelp * Organized List of My Video Lessons to Help You Raise Your Scores & Pass Your Class. Videos Arranged by Math Subject as well as by Chapter/Topic. (Bookmark the Link Below) https://www.mariosmathtutoring.com/free-math-videos.html ➡️JOIN the channel as a CHANNEL MEMBER at the ADDITIONAL VIDEOS level to get access to my math video courses(Algebra 1, Algebra 2/College Algebra, Geometry, and PreCalculus), midterm & final exam reviews, ACT and SAT prep videos and more! (Over 390+ videos) https://www.youtube.com/channel/UClOR1BiPyOkkIAnv9Cmj4iw/join$

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$Factoring All Types Complete Guide Ready to conquer factoring in algebra? This comprehensive video is your ultimate guide to mastering every type of factoring youll encounter in Algebra 1, Algebra 2, or College Algebra. Well walk you through a powerful decision tree that helps you identify the correct factoring technique for any problem. Join me as we work through 30 diverse examples together! Youll learn how to approach each problem systematically, from finding the Greatest Common Factor (GCF) to tackling complex trinomials, differences of squares, sums/differences of cubes, and factoring by grouping. This video is perfect if you have some basic factoring knowledge and are looking to solidify your skills and learn advanced strategies. In this video, youll learn: How to use a decision tree to choose the right factoring method. Step-by-step solutions for 30 unique factoring problems. Techniques for GCF, trinomials (a=1 and a≠1), perfect square trinomials, difference of two squares, sum/difference of two cubes, and factoring by grouping. Strategies for factoring expressions with fractions and in quadratic form. Tips for checking your work and factoring completely. Timestamps: 00:00 Intro 1:10 factor greatest common factor 12x³+10x 2:03 factor trinomial y²-2y-8 3:31 factor 9c²-64 using difference of two squares 4:46 factor 125x³+1 using the sum of two cubes formula 6:37 factor 3y²+y-10 trinomial with a≠1 using ac method or splitting middle term 8:43 factor 4x³-4x²+5x+5 using factoring by grouping 9:51 factor 9y²-42y+49 using perfect square trinomial formula 11:16 factor 64x³-27 using difference of two cubes formula 12:35 factor -3y²-13y+10 by factoring out a negative then use the ac method 14:17 factor 2x³+5x²-18x-45 using factoring by grouping and difference of 2 squares 15:18 factor 1-144y² using difference of two squares 16:23 factor (1/9)x²-(2/9)x-(5/3) by eliminating fractions and then factoring the trinomial 18:13 factor x⁴-x²-42 trinomial in quadratic form 19:27 factor (81/16)y²-(1/4) by factoring out the fractions and using difference of squares 20:43 factor -5x³+x²+80x-16 by grouping 22:06 factor (x+3y)³+8 using sum of 2 cubes formula 23:13 factor 16y²+24y+9 using perfect square trinomial formula 24:07 factor 6x²-11x-10 using ac method to factor trinomial with a≠1 25:15 factor (1/2)y³-(121/8)y using greatest common factor and difference of two squares 26:05 factor 4(x+2)²(x-1)³-12(x+2)³(x-1)² using greatest common factor 27:27 factor x³+216 using sum of 2 cubes formula 28:08 factor y²+7y+12 29:30 factor 3x³-x²-12x+4 by grouping 30:13 factor 25y²-70+49 using perfect square trinomial formula 30:48 factor 7x²-25x+12 using ac method 31:39 factor x⁶+7x³-8 trinomial in quadratic form then factor sum and difference of cubes 33:00 factor 81y²-100 using difference of two squares 33:36 factor 6x²-x-15 using ac method and factor by grouping 34:46 factor 36y²+132y+121 perfect square trinomial 35:29 factor x²-19x+48 Learn more about factoring: ➡️My most popular factoring video here: https://youtu.be/kAHRBxLhkW8 ➡️Get free 100 factoring problem worksheet with video solutions here: https://youtu.be/HAO4Yuk9wP0 ➡️JOIN the channel as a CHANNEL MEMBER at the ADDITIONAL VIDEOS level to get access to my math video courses(Algebra 1, Algebra 2/College Algebra, Geometry, and PreCalculus), midterm & final exam reviews, ACT and SAT prep videos and more! (Over 390+ videos) https://www.youtube.com/channel/UClOR1BiPyOkkIAnv9Cmj4iw/join$

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