Real answers
the coordinates of a quadrilateral are (5,8), (7, 10). (9, 12), and (11, 14). after a transformation, the sign of the x-coordinate for
each ordered pair has changed. which type of transformation occurred?
a) (x, + 2, y + 2)
b) dilation; (x + 2), (y + 2)
reflection across the y-axis
d) reflection across the x-axis

The correct answer is C) Reflection across the Y-axis.

Step-by-step explanation:

This is because only the x-coordinates changed. If these coordinates were reflected across both the x and y axis' the sign of both the x and y coordinates would have changed. When  you reflect a point across the x axis, the y-coordinates change their sign. When you reflect a point across the y axis, the x-coordinates change their sign.

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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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∈3,600

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