A. Prove using Direct Proof. State the reason for each step in the proof. (5 points) given; 4x-3=2x+25
prove; x=14

1. 4x-3 = 2x+25
2. 4x-2x-3 = 25
3. 2x-3 = 25
4. 2x = 28
5. x = 14

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Step-by-step explanation:

4x-3=2x+25

step1: you collect like terms by crossing over values that are of the same kind and their signs also change as they cross the equal to sign

4x-2x=25+3

2x=28

step2: in order to find the value of x, you need to make it the subject of formula, which can be done by dividing the coefficient of x by itself on both sides

2x/2=28/2

x= 14

24

step-by-step explanation:

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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