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All fields Software Mathematics Physics Chemistry Biology Engineering Astronomy Environmental Other Mathematics Mathematics groups

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Mathematics

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Mathematics: explore STEM content (page 20 of 23) · openstem

Quiz5 questions

Solve: 2x + 5 = 13.

Ax = 4Bx = 9Cx = 8Dx = 3

Mathematics

Mathematics · L2 · Two-Step Equations & Inequalities

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Mathematics · L2 · Two-Step Equations & Inequalities

Quiz4 questions

In a right triangle the side opposite angle θ is 5 and the hypotenuse is 13. What is sin θ?

A5/13B12/13C5/12D13/5

Mathematics

Mathematics · L3 · SOH-CAH-TOA & Right Triangles

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Mathematics · L3 · SOH-CAH-TOA & Right Triangles

Quiz6 questions

What does it mean to estimate how many objects are in a group?

ACounting each object one at a time to get the exact numberBMaking a reasonable guess about how many, without counting each oneCGuessing any random numberDWeighing the group of objects

Mathematics

Mathematics · L1 · Estimating & Benchmark Numbers

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Mathematics · L1 · Estimating & Benchmark Numbers

Flowchart15 objects

Mathematics

Mathematics · L3 · Absolute Value: Equation vs '<' vs '>'

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Mathematics · L3 · Absolute Value: Equation vs '<' vs '>'

Quiz2 questions

Each picture stands for 2 votes. There are 3 pictures for apples. How many votes did apples get?

A2B3C6D5

Mathematics

Mathematics · L1 · Reading Pictographs

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Mathematics · L1 · Reading Pictographs

Plot1 plot · 1 param

Mathematics

Mathematics · L2 · Proportions Are Straight Lines

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Mathematics · L2 · Proportions Are Straight Lines

Flashcards5 cards

Define a probability space (Ω, ℱ, P).1 / 5

A probability space consists of: Ω (sample space, the set of all outcomes); ℱ (a σ-algebra on Ω, the collection of measurable events); and P (a probability measure on (Ω, ℱ) with P(Ω) = 1 and countable additivity: P(⋃ᵢ Aᵢ) = Σᵢ P(Aᵢ) for pairwise-disjoint events Aᵢ ∈ ℱ).

Mathematics

Mathematics · L5 · Measure-Theoretic Probability

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Mathematics · L5 · Measure-Theoretic Probability

Note~227 words · 1 min

Two ways to think about chance Theoretical: a fair die has one favourable face out of six equally likely ones, so 1/6, without touching a die. Experimental: roll it 60 times, get nine 3s, and the measured probability was 9/60 = 0.15. The La

Mathematics

Mathematics · L2 · Probability: Experimental vs Theoretical

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Mathematics · L2 · Probability: Experimental vs Theoretical

Flashcards5 cards

State the ε–N definition of convergence of a sequence (aₙ) → L.1 / 5

For every ε > 0 there exists N ∈ ℕ such that for all n ≥ N, |aₙ − L| < ε.

Mathematics

Mathematics · L5 · Real Analysis Foundations

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Mathematics · L5 · Real Analysis Foundations

Flashcards8 cards

What does it mean for two events A and B to be independent?1 / 8

The outcome of A has no effect on the probability of B, and vice versa. Knowing that A happened doesn't change how likely B is.

Mathematics

Mathematics · L3 · Independent, Dependent & Conditional Probability

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Mathematics · L3 · Independent, Dependent & Conditional Probability

Flashcards10 cards

What does 'double' mean?1 / 10

Double means 2 times as many. To double a number, add it to itself.

Mathematics

Mathematics · L1 · Doubling & Halving

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Mathematics · L1 · Doubling & Halving

Quiz6 questions

A city wants to know the average commute time for all 200,000 residents. What is the 'population' in this situation?

AAll 200,000 residents of the cityBOnly the residents who are surveyedCThe average commute time itselfDThe researchers conducting the study

Mathematics

Mathematics · L3 · Sampling & Statistical Inference Basics

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Mathematics · L3 · Sampling & Statistical Inference Basics

Quiz6 questions

What does eliminating the parameter t from x(t), y(t) produce?

AA single Cartesian equation relating x and y directlyBA new value of tCThe derivative of the curveDA second parameter to replace t

Mathematics

Mathematics · L3 · Parametric Equations & Motion

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Mathematics · L3 · Parametric Equations & Motion

Flowchart5 objects

Mathematics

Mathematics · L3 · Independent, Dependent & Conditional Probability · flowchart

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Mathematics · L3 · Independent, Dependent & Conditional Probability · flowchart

Quiz6 questions

A circle has a radius of 3 cm. What is its diameter?

A1.5 cmB6 cmC9 cmD3 cm

Mathematics

Mathematics · L2 · Circles: Circumference & Area

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Mathematics · L2 · Circles: Circumference & Area

Flowchart13 objects

Mathematics

Mathematics · L3 · Vertical Asymptote or Hole?

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Mathematics · L3 · Vertical Asymptote or Hole?

Flowchart7 objects

Mathematics

Mathematics · L3 · Arithmetic & Geometric Series · flowchart

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Mathematics · L3 · Arithmetic & Geometric Series · flowchart

Flowchart16 objects

Mathematics

Mathematics · L2 · Graphing Inequalities on a Number Line

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Mathematics · L2 · Graphing Inequalities on a Number Line

Plot1 plot · 2 params

Mathematics

Linear Regression: y = m·x + b

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Linear Regression: y = m·x + b

Flashcards6 cards

State the Pythagorean theorem.1 / 6

In a right triangle with legs a and b and hypotenuse c:

Mathematics

Mathematics · L3 · Triangles: Pythagoras, Congruence & Similarity

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Mathematics · L3 · Triangles: Pythagoras, Congruence & Similarity

Quiz8 questions

For f(x,y) = x²y + 3y, what is ∂f/∂x?

A2xyBx² + 3C2x + 3yDx²y

Mathematics

Mathematics · L4 · Multivariable Calculus — 8 Q

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Mathematics · L4 · Multivariable Calculus — 8 Q

Flashcards6 cards

What are sin 30° and cos 30°?1 / 6

Mathematics

Mathematics · L3 · The Unit Circle & Special Angles

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Mathematics · L3 · The Unit Circle & Special Angles

Flashcards8 cards

State the Fundamental Counting Principle.1 / 8

If one task can be done in m ways and a second, independent task can be done in n ways, then the two tasks together can be done in m × n ways. Example: 3 shirts and 2 pairs of pants make 3 × 2 = 6 possible outfits.

Mathematics