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Lemur [1.5K]
3 years ago
10

What is the average of the four smallest of integers ?

Mathematics
1 answer:
Elanso [62]3 years ago
6 0
This question is easier than it seems. If there are 9 consecutive integers with the mean being 16, then 16 must be the median. So just add four on top and four below 16 to give you your range of 9 values, 12-20. 12+13+14+15+16+17+18+19+20=144, 144/9=16. So the mean of the first four numbers is (12+13+14+15)/4= 13.5. If you check, 13.5 is also the median of these four numbers.

 
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<h3><u>Answer</u> :</h3>

See the attachment for better understanding.

<u>G</u><u>i</u><u>v</u><u>e</u><u>n</u><u> </u>: Length of string (AC) = 300ft

<u>T</u><u>o</u><u> </u><u>F</u><u>i</u><u>n</u><u>d</u><u> </u>: Height of the kite from ground (AB)

:\implies\sf\:sin60^{\circ}=\dfrac{AB}{AC}

:\implies\sf\:\dfrac{\sqrt{3}}{2}=\dfrac{H}{300}

:\implies\sf\:H=\dfrac{300\sqrt{3}}{2}

:\implies\sf\:H=150\sqrt{3}

:\implies\:\boxed{\bf{\red{H\approx 260\:feet}}}

Hope it helps !

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