Atriangle has a perimeter of 39 feet. if the three sides of the triangle are n, 4n-2, and 5n-9, what is the length of each side

The sides are 5,18,16

Step-by-step explanation:

To find the perimeter of a triangle, we add up all the sides

n +4n-2 + 5n-9 = 39

Combine like terms

10n -11 = 39

Add 11 to each side

10n-11+11 = 39+11

10n = 50

Divide by 10

10n/10 =50/10

n = 5

Now we need to find each side

n = 5

4n-2 = 4(5)-2 = 20-2 =18

5n-9 = 5(5) - =25-9 = 16

The sides are 5,18,16

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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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