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Your search for "compare data with predictions and use as evidence in developing explanations" returned 13 result(s)

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ACMMM055

use relative frequencies obtained from data as point estimates of probabilities.

ACMMM060

use relative frequencies obtained from data as point estimates of conditional probabilities and as indications of possible independence of events.

ACMMM048

use Pascal’s triangle and its properties.

ACMMM023

use function notation, domain and range, independent and dependent variables

ACMMM032

define and use radian measure and understand its relationship with degree measure

ACMMM051

use everyday occurrences to illustrate set descriptions and representations of events, and set operations.

ACMMM056

understand the notion of a conditional probability and recognise and use language that indicates conditionality

ACMMM031

establish and use the sine and cosine rules and the formula \(Area=\frac12bc\sin A\) for the area of a triangle.

ACMMM042

identify contexts suitable for modelling by trigonometric functions and use them to solve practical problems

ACMMM057

use the notation \(P(A\vert B)\) and the formula \(P(A\vert B)=P(A\cap B) / P(B)\)

ACMMM059

establish and use the formula \(P(A\cap B)=P(A)P(B)\) for independent events \(A\) and \(B\), and recognise the symmetry of independence

use set language and notation for events, including \(\overline A\) (or \(A'\)) for the complement of an event \(A,\) \(A?B\) for the intersection of events \(A\) and \(B\), and \(A?B\) for the union, and recognise mutually exclusive events

ACMMM045

use the notation \(\begin{pmatrix}n\\r\end{pmatrix}\) and the formula \(\begin{pmatrix}n\\r\end{pmatrix}=\frac{n!}{r!\left(n-r\right)!}\) for the number of combinations of \(r\) objects taken from a set of \(n\) distinct objects