Identify the number as a rational or irrational. explain. 127

127 is rational number.

Step-by-step explanation:

The given number 127 is rational because it can be written as the quotient of two integers  (p and q) like shown below:

which can be represented as  

But if it is the square root of the same number , then it would be an irrational number since the square root of 127 would gives a decimal number that will keep going on and cannot be represented as a fraction.

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

step-by-step explanation:

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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the battle of gettysburg is considered the "high water mark" of the confederacy because it marked the greatest advance of the confederate forces against the union.