Point G is on line segment F H ‾ FH . Given F G = 5 x + 2 , FG=5x+2, G H = 3 x − 1 , GH=3x−1, and F H = 9 , FH=9, determine the numerical length of F G ‾ . FG .

FG = 7

Step-by-step explanation:

From the question, we are given:

FG=5x+2, GH=3x−1, and F H = 9

FG + GH = FH

5x + 2 + 3x - 1 = 9

5x + 3x + 2 - 1 = 9

8x + 1 = 9

8x = 9 - 1

8x = 8

x = 8/8

x =1

We are determining the numerical length of FG

FG= 5x + 2

FG = 5(1) + 2

FG = 5 + 2

FG = 7

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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