Answer:
![a = 9\\b = 48\\c = -1](https://tex.z-dn.net/?f=a%20%3D%209%5C%5Cb%20%3D%2048%5C%5Cc%20%3D%20-1)
Step-by-step explanation:
We know that:
In a deck of 52 cards there are 4 aces.
Therefore the probability of obtaining an ace is:
P (x) = 4/52
The probability of not getting an ace is:
P ('x) = 1-4 / 52
P ('x) = 48/52
In this problem the number of aces obtained when extracting cards from the deck is a discrete random variable.
For a discrete random variable V, the expected value is defined as:
![E(V) = VP(V)](https://tex.z-dn.net/?f=E%28V%29%20%3D%20VP%28V%29)
Where V is the value that the random variable can take and P (V) is the probability that it takes that value.
We have the following equation for the expected value:
![E(V) = \frac{4}{52}(a) + \frac{b}{52}(c)](https://tex.z-dn.net/?f=E%28V%29%20%3D%20%5Cfrac%7B4%7D%7B52%7D%28a%29%20%2B%20%5Cfrac%7Bb%7D%7B52%7D%28c%29)
In this problem the variable V can take the value V = 9 if an ace of the deck is obtained, with probability of 4/52, and can take the value V = -1 if an ace of the deck is not obtained, with a probability of 48 / 52
Therefore, expected value for V, the number of points obtained in the game is:
![E(V) = \frac{4}{52}(9) + \frac{48}{52}(-1)](https://tex.z-dn.net/?f=E%28V%29%20%3D%20%5Cfrac%7B4%7D%7B52%7D%289%29%20%2B%20%5Cfrac%7B48%7D%7B52%7D%28-1%29)
So:
![a = 9\\b = 48\\c = -1](https://tex.z-dn.net/?f=a%20%3D%209%5C%5Cb%20%3D%2048%5C%5Cc%20%3D%20-1)
Answer:
graph{x^2+2x+1 [-10, 10, -5, 5]}
Explanation:
This is a quadratic equation so it makes a Parabola on a graph.
Information:
x-intercept: (1,0)
y-intercept: (0,1)
vertex: (1,0)
line of symmetry: x=1
The range is the set of all y-coordinates.
R = {2, 6, 8}
Where are the sets? I don't see any...
2x^3 - 3x² - 17x + 30 | x + 3
<span>________________________ </span>
<span>2x^3 + 6x² _________| 2x² - 9x + 10 </span>
<span>_____-9x² - 17x ____ | </span>
<span>_____-9x² - 27x ____ | </span>
<span>_________ 10x + 30 _| </span>
<span>_________ 10x + 30 _| </span>
<span>________ _____ __0 _| </span>
<span>Ans : 2x² - 9x + 10
</span>
BRAINLIEST PLS!!!!