2 red ping pongs - least likely
3 green ping pongs - possible
3 blue ping pongs - possible
1 yellow ping pong - not possible
A / B
= 80 / 8
= 10
Therefore the answer is 10
Answer:
the slope is 1/2
Step-by-step explanation:
the line goes up 1 unit then right 2
Answer:
Step-by-step explanation:
Before to get started we are going to imagine a grid with 3 rows and ten columns.
In order to find how many different paths are possible to reach the upper right corner from the lower left corner we have to take in account that every possible route has just 13 moves. 3 right moves and 10 up moves.
Since order does not matter in our paths , we can solve this problem using combination formula.
C(n,r)=
Let n=all possible moves
r= number of right or up moves
The number of possible paths can be found by finding how many combinations of right moves or up moves we can have in all possible moves. We will end up with he exact same result.
In this case we will use r as the number of up moves.
C(13,10)=
286 <u>paths are possible!</u>
Answer:
y= -1/2x-4
Step-by-step explanation:
By standard form, I'm assuming you mean slope-intercept form, which is y=mx+b. First, we need to find m, or the slope. To do this, we need to plug it into this equation: m= y2-y1/x2-x1. We can rewrite this with our two points, so we make it into m= -5+3/2+2. I did plus signs because if you subtract a negative number from a number, it has the same effect as addition does. Now, we have m= -2/4, which we can simplify to -1/2. Now, we have y=-1/2x+?. Now, let's plug in the numbers in slope-intercept form. I'll choose the ordered pair (-2, -3) for this example. Now that I've plugged the numbers in y=mx+b form (slope-intercept form), we have -3=(-1/2⋅-2)+b. Now, we solve it. First, we do the problem in the parenthesis, from that, we get 1. Now, we have -3=1+b, let's subtract 1 from both sides. Now, we have -4=b. That means our y-intercept is -4. Let's plug this back in the equation. We get y=-1/2x-4. I hope this helps!