Pic included What is value of x? Enter your answer in the box. x =

The answer to your question is x = 10

Step-by-step explanation:

Use proportions to solve this problem

Given                  (x + 4)/8 = (2x + 1)/12

                          12(x + 4) = 8(2x + 1)

Expand

                          12x + 48 = 16x + 8

Group like terms

                           12x - 16x = - 48 + 8

Simplify

                          -4x = -40

Solve for x

                              x = -40/-4

Result

                              x = 10                  

y < -3

step-by-step explanation:

-3y - 2 > 7

-3y -2 + 2 > 7+2

-3y > 9

-3y/-3 < 9/-3   (change the inequality sign when multiplying or dividing by a negative number)

y < -3

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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