Show that 0 and 1 are the only squares in z4 (a square is an element that is of the form a 2 for some a in z4). this proves that the square a 2 of an integer a is congruent to 0 or 1 modulo 4.

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nlgqer

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hello,

b) 62.47% of the students are between 14 and 18 years old.

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mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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