A) use a straightedge to draw a line thought D and F
Answer:
B. 1/8
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<u />
<u />
<u />
<u>Step 2: Evaluate</u>
- Substitute in <em>x</em>:
![\displaystyle f(-2) = 2(4)^{-2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20f%28-2%29%20%3D%202%284%29%5E%7B-2%7D)
- Exponents:
![\displaystyle f(-2) = 2(\frac{1}{16})](https://tex.z-dn.net/?f=%5Cdisplaystyle%20f%28-2%29%20%3D%202%28%5Cfrac%7B1%7D%7B16%7D%29)
- Multiply:
![\displaystyle f(-2) = \frac{1}{8}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20f%28-2%29%20%3D%20%5Cfrac%7B1%7D%7B8%7D)
Answer:
64 different black jack hands
Step-by-step explanation:
there are 4 aces in a deck, and you can score a blackjack if any of these 4 aces is paired with any of the 16 different cards that are worth 10 points. Total number of different blackjack combinations = 4 aces x 16 different tens = 64.
Even though the number of possible blackjack hands might seem large, the possibilities of actually getting one are really low:
possibility of getting 1 ace = 4/52 = 1/13
possibility of getting 1 ten = 16/51
possibility of getting a blackjack = 16 / 663
if you start with the 10 first the odds are the same:
possibility of getting 1 ten = 16/52 = 4/13
possibility of getting 1 ace = 4/51
possibility of getting a blackjack = 16 / 663