Algebra, arithmetic, reasoning.
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Thirty-two students study at least one subject.
Out of 40 students, 40 - 32 = 8 study neither.
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The sum is 40 and there are 5 values.
The mean is 40 ÷ 5 = 8.
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A rectangle has four right angles and opposite sides equal.
Its diagonals are also equal in length.
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For a triangle, the sum of any two sides must exceed the third.
Here 4 + 7 = 11, which is less than 12.
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Curved surface area is 2πrh.
Thus, 2π × 4 × 7 = 56π cm².
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A fair coin has two equally likely outcomes.
One favorable outcome out of two gives probability 1/2.
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The median is the middle value in ordered data.
The third of five values is 9.
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A rhombus is defined by four equal sides.
Its angles need not be right angles.
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Rectangle perimeter is 2(length + width).
Thus, 2(8 + 5) = 26 cm.
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Cone volume is one-third πr²h.
Thus, 1/3 × π × 9 × 12 = 36π cm³.
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There are six equally likely die outcomes and only one is 5.
Thus, the probability is 1/6.
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The mode is the value occurring most often.
The number 4 appears three times.
