The standard deviation is 1.98. Option A is correct.
The standard deviation formula is given as
where:
Substitute the given parameters into the formula to have:
Hence the standard deviation is 1.98
Learn more on standard deviation here: brainly.com/question/12402189
First multiply 2 to both sides to isolate q. Since 2 is being divided by q, multiplication (the opposite of division) will cancel 2 out (in this case it will make 2 one) from the left side and bring it over to the right side.
× 2 < 2 × 2
q < 4
For the graph will you have a empty or colored in circle?
If the symbol is ≥ or ≤ then the circle will be colored in. This represents that the number the circle is on is included.
If the symbol is > or < then the circle will be empty. This represents that the number the circle is on is NOT included.
Which direction will the ray go?
If the variable is LESS then the number then the arrow will go to the left of the circle.
If the variable is MORE then the number then the arrow will go to the right of the circle.
In this case your inequality is:
q < 4
aka q is less then four
This means that the graph will have an empty circle and the arrow will go to the left of 4. (look at image below)
Hope this helped!
~Just a girl in love with Shawn Mendes
The factored form of the equation 9x⁴y - 6x³y² + 3x²y³ is 3x²y(3x²-2xy+y²).
<h3>What is factored form?</h3>The product of a constant and two linear expressions in factored form. The roots of the function are the parameters and the x-intercepts of the graph. Often Factoring is referred to as the process of converting a quadratic function to factored form.
We need to write the given expression in the factored form, therefore, we will take the common terms out of the given expression,
1. Taking 3 as the common term, we will get,
2. Taking x² as the common term
3. Taking y as the common term,
Hence, the factored form of the equation 9x⁴y - 6x³y² + 3x²y³ is 3x²y(3x²-2xy+y²).
Learn more about Factored Form: