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A circular table top has diameter 140 cm. The volume of the table top is 17,150π cmᶟ. Calculate the thickness of the table top

The table is a cylinder so we'll need to use the equation for this shape: A = πr 2 h We're looking for the thickness of the table (which is the height) so let's rearrange this equation to make h the subject ...
LM
Answered by Lewis M. Maths tutor
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A circular table top has diameter 140 cm. Calculate the area of the table top in cm² , giving your answer as a multiple of π.

So we know the formula for the area of a circle: πr 2 So all we need to find is the radius 2 Radius = Diameter / 2 (Half the diameter) = 70 Radius 2 = 70 2 = 4900 Therefore using our original equation: πr 2 ...
LM
Answered by Lewis M. Maths tutor
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How do you write 2,764,000 in standard form?

First put in columns for units, tens, and hundreds. Then count the number of postions between the decimal point and the first digit ( on the left). H|T|U 2 7 6 4 0 0 0 6 5 4 3 2 1 This is number the power of...
HG
Answered by Henry G. Maths tutor
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Why do I keep getting the wrong answer when tackling percentage change questions?

Percentage change isn't always as simple as you think. Whilst taking into consideration if it is a percentage increase or decrease, you also need to consider whether you're calculating a result before or aft...
ES
Answered by Emma S. Maths tutor
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The probability of obtaining heads on a biased coin is 0.4. The coin is tossed 600 times. Write down the mean number of heads and the standard deviation of the number of heads.

The distribution of heads on a biased coin will be binomial - there are only two possible outcomes for a given throw (disregarding the coin standing upright after a toss). Thus X ~ B(600, 0.4) - where X is t...
AL
Answered by Aleksander L. Maths tutor
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