Answer:
Step-by-step explanation:
The slope of the line in question is the same as the slope of the line parallel to it. Using y = mx + b, where m is the slope, we find the slope of our line is -3.
Using the pt-slope form, y - y1 = m( x - x1), we get y - (-1) = -3( x - 2) or y + 1 = -3x + 6. Which leads us to y = -3x + 5. QED
The coefficient of this expression is 5, a coefficient is just the number before a variable.
Answer:
The probability of a chain defect is 3%.
Step-by-step explanation:
Given : A bicycle manufacturer is studying the reliability of one of its models. The study finds that the probability of a brake defect is 4 percent and the probability of both a brake defect and a chain defect is 1 percent.
If the probability of a defect with the brakes or the chain is 6 percent
To find : What is the probability of a chain defect?
Solution :
Let A be the event of brake defect
and B be the event of chain defect.
We have given, P(A)= 4%=0.04
P(A and B) = 1%=0.01
P(A or B)= 6%=0.06
We have to find P(B),
The formula used is,

Substitute the value,




or 
Therefore, The probability of a chain defect is 3%.
we conclude that the inequality can be written as the compound inequality:
m < 8
m > 20
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How to solve the inequality for m?</h3>
Here we have the inequality:
3*|14 - m| > 18
We want to isolate m, so we start by dividing both sides by 3:
|14 - m| > 18/3 = 6
Now we can decompose the inequality in two:
14 - m > 6
14 - m < - 6
Solving both for m, we get:
14 - 6 > m
14 + 6 < m
8 > m
20 < m
Then we conclude that the inequality can be written as the compound inequality:
8 > m
20 < m
If you want to learn more about inequalities:
brainly.com/question/25275758
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