-1 is the greatest negative integer because the bigger the negative number the smaller it is
The probability of getting a red card and rolling a 5 is = 3/85
<h3>How to find the probability?</h3>
First, we want to find the probability of rolling a 5.
There are 6 outcomes on the six-sided die, so the probability of getting a particular value is:
P = 1/5.
Then, the probability of randomly drawing a red card is given by the quotient between the number of red cards and the total number of cards:
P' = 3/(3 + 6 + 8) = 3/17
The joint probability is given by the product between the individual probabilities:
prob = P*P' = (1/5)*(3/17) = 3/85
If you want to learn more about probability:
brainly.com/question/251701
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Is there a picture of the data set that goes with this question?
So for this, I will be using the elimination method. So firstly, multiply both sides of the first equation by 2 and both sides of the second equation by 3:
![\left \{ {{8x-6y=52} \atop {9x+6y=33}} \right.](https://tex.z-dn.net/?f=%20%5Cleft%20%5C%7B%20%7B%7B8x-6y%3D52%7D%20%5Catop%20%7B9x%2B6y%3D33%7D%7D%20%5Cright.%20)
Now add the two equations to get
. From here you can solve for x. For this, just divide both sides by 17, and your first answer will be ![x=5](https://tex.z-dn.net/?f=%20x%3D5%20)
Now that we have the value of x, substitute it into either equation to solve for y:
![4*5-3y=26\\ 20-3y=26\\ -3y=6\\ y=-2\\ \\ 3*5+2y=11\\ 15+2y=11\\ 2y=-4\\ y=-2](https://tex.z-dn.net/?f=%204%2A5-3y%3D26%5C%5C%2020-3y%3D26%5C%5C%20-3y%3D6%5C%5C%20y%3D-2%5C%5C%20%5C%5C%203%2A5%2B2y%3D11%5C%5C%2015%2B2y%3D11%5C%5C%202y%3D-4%5C%5C%20y%3D-2%20)
<h3><u>In short, x = 5 and y = -2.</u></h3>