Solve for x.
answers available are.
a.) 12.5
b.) 4√7
c.) 3√7
d.) 12

d) 12

Step-by-step explanation:

Given:

Right triangle with side 9+7=16

let the third side of bigger triangle be y

and perpendicular line between 9 and 7 be z

Now:

By Pythagoras theorem:

(16)^2=x^2+y^2

x^2=256-y^2

Also

y^2=z^2 +7^2

z^2=y^2-49

and

x^2=9^2 + z^2

Now substituting z^2=y^2-49 in above we get:

x^2=81 + y^2-49

x^2=32+y^2

Adding x^2=256-y^2 and x^2=32+y^2 we get:

2x^2= 288

x^2=144

x=12 !

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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