Which of the following symbols indicates that a value is included in a solution set.
2 answers:
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The simplified rational expression is (y - 3)/(y + 3). Where y ≠ -3.
<h3>How to simplify a rational expression?</h3>A rational expression is in the p/q form. Where p and q are polynomial functions.
To simplify this rational equation,
- Factorize the polynomials in both numerator and denomiantor.
- Cancel out common factors if any.
- If the denominator and the numerator have no common factors except 1, then that is said to be the simplest form of the given rational expression.
The given rational equation is
Factorizing the expression in the numerator:
y² - 12y + 27 = y² - 9y - 3y + 27
⇒ y(y - 9) - 3(y - 9)
⇒ (y - 3)(y - 9)
Factorizing the expression in the denominator:
y² - 6y - 27 = y² - 9y + 3y - 27
⇒ y(y - 9) + 3(y - 9)
⇒ (y + 3)(y - 9)
Since they have (y - 9) as the common factor, we can simplify,
⇒ (y - 3)/(y + 3) where y ≠ -3(denomiantor)
Here there are no more common factors except 1; this is the simplest form of the given rational expression.
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Answer:
The probability of the tip to be more than 200 is 0.1.
Step-by-step explanation:
As per the given data
Amount of tip Number
0-20 200
20-50 100
50-100 75
100-200 75
200+ 50
____________________
Total= 500
So what is the probability of tip to be more than 200 is given as
From the table the value is 50 for the tip to be more than 200 where as the total occurrences are 500 so substituting values:
So the probability of the tip to be more than 200 is 0.1.