Answer:
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7/10 as hundredths decimal: .07
7/10 as fraction: 7/100

Use the distributive property to multiply 3 by x−4.

Subtract 5x on both sides.

Combine 3x and −5x to get −2x.

Add 12 to both sides.
![\boldsymbol{\sf{-2x > 2+12 \ \longmapsto \ \ [Add \ 2 +12]}}](https://tex.z-dn.net/?f=%5Cboldsymbol%7B%5Csf%7B-2x%20%3E%202%2B12%20%5C%20%5Clongmapsto%20%5C%20%5C%20%5BAdd%20%5C%202%20%2B12%5D%7D%7D)

Divide both sides by −2. Since −2 is < 0, the inequality direction is changed.
![\boldsymbol{\sf{x < \dfrac{14}{-2} \ \ \longmapsto \ \ \ [Split]}}](https://tex.z-dn.net/?f=%5Cboldsymbol%7B%5Csf%7Bx%20%3C%20%5Cdfrac%7B14%7D%7B-2%7D%20%5C%20%5C%20%5Clongmapsto%20%5C%20%5C%20%5C%20%5BSplit%5D%7D%7D)

So in the <u>inequality 3(x-4)>5x +2</u>, the value of x is -7.
ヘ( ^o^)ノ\(^_^ )If you want to learn more about mathematics, I share this link to complement your learning:
The probability that the reaction time for this density function is at most 2.5 seconds is equal to 0.9.
<h3>What is a density function?</h3>
A density function can be defined as a type of function which is used to represent the density of a continuous random variable that lies within a specific range.
<h3>How to calculate the probability that reaction time is at most 2.5 seconds?</h3>
P(X ≤ 2.5) = Fx(2.5)
Fx(2.5) = 3/2 - 3/2(2.5)
Fx(2.5) = 3/2 - 3/5
Fx(2.5) = 0.9.
Read more on density function here: brainly.com/question/14448717
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Complete Question:
The reaction time (in seconds) to a certain stimulus is a continuous random variable with pdf:
f(x) = 
What is the probability that reaction time is at most 2.5 seconds?