If a+b=20 and ab=50
Then find the value of a^2+b^2

Here,

a+b=20

ab=50

we know that,

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According to the question,

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      a² + b² = 300

Step-by-step explanation:

a + b = 20  ; ab = 50

(a +b)² = a²+ b² + 2ab

a² + b² + 2ab = (a + b)²

a² + b² + 2*50 = (20)²

a² + b² + 100 = 400

         a² + b² = 400 - 100

        a² + b² = 300

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:

answer: x=60