Derive the equation of the parabola with a focus at (? 5, ? 5) and a directrix of y = 7. f(x) = ? one twenty fourth(x ? 1)2 ? 5 f(x) = one twenty fourth(x ? 1)2 ? 5 f(x) = ? one twenty fourth(x + 5)2 + 1 f(x) = one twenty fourth(x + 5)2 + 1

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step-by-step explanation:

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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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