Answer:
The correct option is b.
Step-by-step explanation:
The formula for standard deviation is

where,
is mean of the data and n is number of observation.
The variance of a stock's returns can be calculated by the above formula.
Variance of stock's returns is the average value of squared deviations from the mean.
Therefore the correct option is b.
Answer:
The ball reached its maximum height of (
) in (
).
Step-by-step explanation:
This question is essentially asking one to find the vertex of the parabola formed by the given equation. One could plot the equation, but it would be far more efficient to complete the square. Completing the square of an equation is a process by which a person converts the equation of a parabola from standard form to vertex form.
The first step in completing the square is to group the quadratic and linear term:

Now factor out the coefficient of the quadratic term:

After doing so, add a constant such that the terms inside the parenthesis form a perfect square, don't forget to balance the equation by adding the inverse of the added constant term:

Now take the balancing term out of the parenthesis:

Simplify:

The x-coordinate of the vertex of the parabola is equal to the additive inverse of the numerical part of the quadratic term. The y-coordinate of the vertex is the constant term outside of the parenthesis. Thus, the vertex of the parabola is:

Answer:
x = 8
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
3(x - 2) = 2(x + 1)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute: 3x - 6 = 2x + 2
- Subtract 2x on both sides: x - 6 = 2
- Add 6 to both sides: x = 8
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 3(8 - 2) = 2(8 + 1)
- Subtract/Add: 3(6) = 2(9)
- Multiply: 18 = 18
Here we see that 18 does indeed equal 18.
∴ x = 8 is a solution to the equation.
Answer:
2
Step-by-step explanation:
For this question you can say:
1/2 = 8/16
so now you can add easily:
9/16 + 8/16 = 17/16 and that's the simplest fraction but you can also say:
17/16 = 1.0625 :)))
i hope this is helpful
have a nice day