Solve the for the variable. SHOW ALL WORK/EXPLAIN EVERY STEP!!!
2(x-2)-5=3-2x+6

x=9/2

Step-by-step explanation:

First distribute 2

2x-4-5=3-2x+6

Add the like terms on the left side -4-5=-9

2x-9=3-2x+6

Do this with the right side 3+6=9

2x-9=-2x+9

Add 9 from the left side to the right side

2x=-2x+18

Then add 2x from the right side to the left side

4x=18

Divide 4 from both sides

x=18/4 or 9/2

9/2

Step-by-step explanation:

2x-4-5= 3-2x+6  distribute 2 through the parentheses

2x-4-5=9-2x     add the numbers

2x-9=9-2x calculate the difference

2x+2x-9= 9  move variable to left side and change sign

2x+2x= 9+9 move constant to right side and change sign

4x= 18  collect like terms

x=9/2 divide both sides by 4

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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