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Applied 2 - Chapter 3+4

thomas.payne

Created on July 9, 2024

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Transcript

LO's

Chapter 3 - The normal distribution

y dπ‘₯

b2-4ac

A = lw

Old

New

AS

Related

Knowledge check 1

Ans B

Ans A

3.1 - The normal distribution

y dπ‘₯

b2-4ac

A = lw

AS

3.1 - The normal distribution

y dπ‘₯

b2-4ac

A = lw

AS

3.1 - The normal distribution

y dπ‘₯

b2-4ac

A = lw

AS

3.1 - The normal distribution

y dπ‘₯

Rules

b2-4ac

A = lw

AS

3.2 - Finding probabilities for normal distributions

y dπ‘₯

Rules

b2-4ac

A = lw

AS

3.2 - Finding probabilities for normal distributions

y dπ‘₯

Rules

b2-4ac

A = lw

AS

3.3 - The inverse normal distribution function

y dπ‘₯

Rules

b2-4ac

A = lw

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3.3 - The inverse normal distribution function

y dπ‘₯

Rules

b2-4ac

A = lw

AS

3.4 - The standard normal distribution

y dπ‘₯

b2-4ac

A = lw

AS

3.4 - The standard normal distribution

y dπ‘₯

Rules

b2-4ac

A = lw

AS

3.4 - The standard normal distribution

y dπ‘₯

Rules

b2-4ac

A = lw

AS

3.5 - Finding 𝛍 and 𝝈

y dπ‘₯

Rules

b2-4ac

A = lw

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3.5 - Finding 𝛍 and 𝝈

y dπ‘₯

Rules

b2-4ac

A = lw

AS

3.5 - Finding 𝛍 and 𝝈

y dπ‘₯

Rules

b2-4ac

A = lw

AS

3.6 - Approximating a binomial distribution

y dπ‘₯

Rules

b2-4ac

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3.6 - Approximating a binomial distribution

y dπ‘₯

Rules

b2-4ac

A = lw

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3.6 - Approximating a binomial distribution

y dπ‘₯

Rules

b2-4ac

A = lw

AS

3.7 - Hypothesis testing with the normal distribution

y dπ‘₯

Rules

b2-4ac

A = lw

AS

3.7 - Hypothesis testing with the normal distribution

y dπ‘₯

Rules

b2-4ac

A = lw

AS

LO's

Chapter 4 - Moments

y dπ‘₯

b2-4ac

A = lw

Old

New

AS

Knowledge check 1

Related

Ans B

Ans A

4.1 - Moments

y dπ‘₯

Rules

b2-4ac

A = lw

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4.1 - Moments

y dπ‘₯

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b2-4ac

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4.2 - Resultant moments

y dπ‘₯

Rules

b2-4ac

A = lw

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4.2 - Resultant moments

y dπ‘₯

Rules

b2-4ac

A = lw

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4.2 - Resultant moments

y dπ‘₯

Rules

b2-4ac

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4.3 - Equilibrium

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b2-4ac

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4.3 - Equilibrium

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b2-4ac

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4.3 - Equilibrium

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Rules

b2-4ac

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4.4 - Centres of mass

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b2-4ac

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4.4 - Centres of mass

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4.5 - Tilting

y dπ‘₯

Rules

b2-4ac

A = lw

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4.5 - Tilting

y dπ‘₯

Rules

b2-4ac

A = lw

AS

A Level

Higher

Foundation

b2-4ac

dy

dx

f(π‘₯+a)

y dπ‘₯

Logs

A Level

Higher

Foundation

A Level

Higher

Foundation

b2-4ac

dy

dx

f(π‘₯+a)

y dπ‘₯

Logs

b2-4ac

dy

dx

f(π‘₯+a)

y dπ‘₯

Logs

b2-4ac

dy

dx

f(π‘₯+a)

y dπ‘₯

Logs

A Level

Higher

Foundation

A Level

Higher

Foundation

A Level

Higher

Foundation

A Level

Higher

Foundation

b2-4ac

dy

dx

f(π‘₯+a)

y dπ‘₯

Logs

A Level

Higher

Foundation

b2-4ac

dy

dx

f(π‘₯+a)

y dπ‘₯

Logs

b2-4ac

dy

dx

f(π‘₯+a)

y dπ‘₯

Logs

A Level

Higher

Foundation

b2-4ac

dy

dx

f(π‘₯+a)

y dπ‘₯

Logs

b2-4ac

dy

dx

f(π‘₯+a)

y dπ‘₯

Logs

b2-4ac

dy

dx

f(π‘₯+a)

y dπ‘₯

Logs

A Level

Higher

Foundation

b2-4ac

dy

dx

f(π‘₯+a)

y dπ‘₯

Logs

A Level

Higher

Foundation

A Level

Higher

Foundation

A Level

Higher

Foundation

b2-4ac

dy

dx

f(π‘₯+a)

y dπ‘₯

Logs

A Level

Higher

Foundation

A Level

Higher

Foundation

A Level

Higher

Foundation

A Level

Higher

Foundation

A Level

Higher

Foundation

b2-4ac

dy

dx

f(π‘₯+a)

y dπ‘₯

Logs

A Level

Higher

Foundation

b2-4ac

dy

dx

f(π‘₯+a)

y dπ‘₯

Logs

b2-4ac

dy

dx

f(π‘₯+a)

y dπ‘₯

Logs

A Level

Higher

Foundation

A Level

Higher

Foundation

b2-4ac

dy

dx

f(π‘₯+a)

y dπ‘₯

Logs

b2-4ac

dy

dx

f(π‘₯+a)

y dπ‘₯

Logs

b2-4ac

dy

dx

f(π‘₯+a)

y dπ‘₯

Logs

A Level

Higher

Foundation

b2-4ac

dy

dx

f(π‘₯+a)

y dπ‘₯

Logs

b2-4ac

dy

dx

f(π‘₯+a)

y dπ‘₯

Logs

b2-4ac

dy

dx

f(π‘₯+a)

y dπ‘₯

Logs

b2-4ac

dy

dx

f(π‘₯+a)

y dπ‘₯

Logs

b2-4ac

dy

dx

f(π‘₯+a)

y dπ‘₯

Logs

b2-4ac

dy

dx

f(π‘₯+a)

y dπ‘₯

Logs

A Level

Higher

Foundation

A Level

Higher

Foundation

A Level

Higher

Foundation

Chapter 3 Learning Objectives

  • Understand the normal distribution and the characteristics of a normal distribution curve.
  • Find percentage points on a standard normal curve.
  • Calculate values on a standard normal curve.
  • Find unknown means and/or standard deviations for a normal distribution.
  • Approximate a binomial distribution using a normal distribution.
  • Select appropriate distributions and solve real-life problems in context.
  • Carry out a hypothesis test for the mean of a normal distribution.

b2-4ac

dy

dx

f(π‘₯+a)

y dπ‘₯

Logs

b2-4ac

dy

dx

f(π‘₯+a)

y dπ‘₯

Logs

A Level

Higher

Foundation

A Level

Higher

Foundation

b2-4ac

dy

dx

f(π‘₯+a)

y dπ‘₯

Logs

b2-4ac

dy

dx

f(π‘₯+a)

y dπ‘₯

Logs

b2-4ac

dy

dx

f(π‘₯+a)

y dπ‘₯

Logs

A Level

Higher

Foundation

A Level

Higher

Foundation

A Level

Higher

Foundation

b2-4ac

dy

dx

f(π‘₯+a)

y dπ‘₯

Logs

A Level

Higher

Foundation

b2-4ac

dy

dx

f(π‘₯+a)

y dπ‘₯

Logs

Chapter 4 Learning Objectives

  • Calculate the turning effect of a force applied to a rigid body.
  • Calculate the resultant moment of a set of forces acting on a rigid body.
  • Solve problems involving uniform rods in equilibrium.
  • Solve problems involving non-uniform rods.
  • Solve problems involving rods on the point of tilting.

b2-4ac

dy

dx

f(π‘₯+a)

y dπ‘₯

Logs

b2-4ac

dy

dx

f(π‘₯+a)

y dπ‘₯

Logs

A Level

Higher

Foundation

A Level

Higher

Foundation