If the perimeter of a square measures 32 cm, each side measures 32/4= 8 cm, because all sides are equal.
The diagonal that passes through the center of the square divides the square into two triangles. The triangles are formed by a <u>hypotenuse </u>(the diagonal, which is k in this case), <u>and two sides,</u> that measure 8 cm each, in this case.
Because of Pythagoras' theorem, we know that the <u>lenght of the hypotenuse</u> (in this case the hypotenuse is k) equals the squared root of the sum of the squared sides, which in this case can be expressed as .
Mean=0.48 standard deviation=0.01 thus using the z-score: P(x>0.5) we shall have the following: z=(0.5-0.48)/0.01=2 thus P(x>0.5) =1-P(x<0.5) =1-P(z<2) =1-0.9772 =0.0228
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