Joe and Tim observed two points, P and Q, on a number line. A number line is shown from negative 1 to positive 1 with increments of 1 over 8. A point P is shown at the third tick mark to the left of 0, and a point Q is shown at the third tick mark to the right of 0.

Joe said that the absolute values of the numbers represented by the two points are different.

Tim said that the absolute values of the numbers represented by the two points are the same.

Which of the following explains who is correct?

Joe, because the points have different signs
Tim, because each point is fraction 3 over 8 unit away from 0
Tim, because the distance between the points is fraction 3 over 8 unit
Joe, because the points are at different locations

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hello,

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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step-by-step explanation:

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,

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6: 4= 3/2

18: 8= 9/4

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