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:
Greatest Common Factor is :
2
hope this was helpful
Answer:
(4x - 5)(x + 2).
Step-by-step explanation:
4x^2 + 3x - 10
4 * 10 = -40
We need 2 numbers whose product is -40 and whose sum is +3.
Theses are = - 5 and + 8.
So we write:
4x^2 + 8x + -5x - 10
= 4x(x + 2) - 5(x + 2)
= (4x - 5)(x + 2).