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Functional Question Higher (Statistics 8). For the week beginning …. A coffee machine dispenses 130 millilitres of black coffee into cups with a capacity of 175 millilitres. These values are accurate to 3 significant figures.
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Functional Question Higher (Statistics 8) For the week beginning ….
A coffee machine dispenses 130 millilitresof black coffee into cups with a capacityof 175 millilitres. These values are accurate to 3 significant figures. Milk is supplied in small cartons whichcontain 21 millilitres, accurate to thenearest millilitre. Beryl likes milky coffee and always puts2 cartons of milk in her coffee. Will Beryl’s cup ever overflow? You must show your working. (Total 5 marks)
Coffee < 130.5174.5 ≤ cup(20.5 ≤) milk < 21.5 All three inequalities correct B2 One correct B1 B2 - Marks awarded independent of method Their min cup – their max coffee –2 × their max milk 174.5 – (130.5 + 2 × 21.5) (= 1) M1 – Method mark No as 1 ml to spare Must show all stages and reach conclusion A1 - Accuracy marks are awarded when following on from a correct method Logical argument (ft their inequalities) with M1 awarded Strand (ii) Q1 – Quality of written answer [5]