QCAA Math Methods 2022 External Exam TECH ACTIVE

• 1.6323 cm/s

• 0.4081 cm/s

• -0.9129 cm/s

• -3.6519 cm/s

• f ′(-1) = 0, f ′′(-1) < 0

• f ′(-1) = 0, f ′′(-1) > 0

• f ′(-1) < 0, f ′′(-1) < 0

• f ′(-1) < 0, f ′′(-1) > 0

• 1

• 3

• 4

• 5

• 10

• 14

• 107

• 116

The continuous random variable X has the probability density function shown. The standard deviation of X is

• 0.467

• 0.684

• 1.211

• 1.467

A stall at the school fete sells cups of lemonade. Assuming the amount of lemonade in a cup is normally

distributed with a mean of 60 mL and a standard deviation of 3 mL, 80% of the cups contain more than

• 52.4 mL

• 57.5 mL

• 61.6 mL

• 62.5 mL

• 0.40 m

• 1.60 m

• 3.22 m

• 8.09 m

• x = -4

• x = -3

• x = 3

• x = 4

Determine the length of side AB in triangle ABC.

• 22.13

• 14.44

• 9.97

• 7.82

• 1.48

• 2.31

• 3.37

• 4.54