Answer:
No, it is not fair
Step-by-step explanation:
Here, we want to check if this is a fair game
To win a sum, a duck with a green star on the underside must be selected
The number of ducks with this is 4 out of 75
The probability of selecting one is 4/75
The expected value of selecting is ;
4/75 * 10 = 0.5333
The cost of selecting a duck is $1
The probability that a duck that wins will not be selected is 71/75 which at a price of $1 is 0.9467
Since the price to lose and the amount to win is not the same, then the game is not fair
I have no clue man or woman
Answer:
1a) f(x) = -1/3(x + 12)² + 9
1b) f(x) = -1/3x² - 8x - 39
General Formulas and Concepts:
<u>Algebra I</u>
Equality Properties
Expand by FOIL (First Outside Inside Last)
Standard Form: ax² + bx + c = 0
Transformations Graph: f(x) = a(bx - c)² + d
- a = vertical shrink/stretch
- b = horizontal shrink/stretch
- c = horizontal movement left/right
- d = vertical movement up/down
Step-by-step explanation:
<u>Step 1: Define</u>
Reflected down and vertically stretched by 1/3: a = -1/3
Shifted vertically by 9 units: d = 9
Shifted horizontally by -12 units: c = -12
<u>Step 2: Write Vertex Form</u>
- Define: f(x) = a(bx - c)² + d
- Substitute: f(x) = -1/3(x + 12)² + 9
<u>Step 3: Write Standard Form</u>
- Define: f(x) = -1/3(x + 12)² + 9
- Expand: f(x) = -1/3(x² + 24x + 144) + 9
- Distribute -1/3: f(x) = -1/3x² - 8x - 48 + 9
- Combine like terms: f(x) = -1/3x² - 8x - 39
And we have our final answers!
Answer:
x=4
Step-by-step explanation:
you subtract the x on both sides
6=2x-2
then you add 2 on both sides
8=2x
then divide 2 on both sides
and you get x=4
Answer:
pretty sure its A cuz of the 4 90° thing.