A variable by itself doesn't have a co efficient
1) Our marbles will be blue, red, and green. You need two fractions that can be multiplied together to make 1/6. There are two sets of numbers that can be multiplied to make 6: 1 and 6, and 2 and 3. If you give the marbles a 1/1 chance of being picked, then there's no way that a 1/6 chance can be present So we need to use a 1/3 and a 1/2 chance. 2 isn't a factor of 6, but 3 is. So we need the 1/3 chance to become apparent first. Therefore, 3 of the marbles will need to be one colour, to make a 1/3 chance of picking them out of the 9. So let's say 3 of the marbles are green. So now you have 8 marbles left, and you need a 1/2 chance of picking another colour. 8/2 = 4, so 4 of the marbles must be another colour, to make a 1/2 chance of picking them. So let's say 4 of the marbles are blue. We know 3 are green and 4 are blue, 3 + 4 is 7, so the last 2 must be red.
The problem could look like this:
A bag contains 4 blue marbles, 2 red marbles, and 3 green marbles. What are the chances she will pick 1 blue and 1 green marble?
You should note that picking the blue first, then the green, will make no difference to the overall probability, it's still 1/6. Don't worry, I checked
2) a - 2% as a probability is 2/100, or 1/50. The chance of two pudding cups, as the two aren't related, both being defective in the same packet are therefore 1/50 * 1/50, or 1/2500.
b - 1,000,000/2500 = 400
400 packages are defective each year
Step-by-step explanation:
3/2(4x-1)-3x = 5/4-(x+2)
6x -3/2 -3x = 5/4 -x -2
3x -3/2 = 5/4-2-x
4x=5/4 -2 +3/2
4x= (5-8+6)/4
4x=3/4
x=3/16
Answer:
x=5
Step-by-step explanation:
Since both of these length are equal, 6x+4=8x-6, 2x=10, x=5
Answer:
The mid-point is (9,-9/2)
Step-by-step explanation:
You would use the mid-point formula for this
![(\frac{x_{2} +x_{1} }{2} , \frac{y_{2}+y_{1} }{2} )](https://tex.z-dn.net/?f=%28%5Cfrac%7Bx_%7B2%7D%20%2Bx_%7B1%7D%20%7D%7B2%7D%20%2C%20%5Cfrac%7By_%7B2%7D%2By_%7B1%7D%20%20%7D%7B2%7D%20%29)
if you plug that in it is (
)
resulting in (11/2,-2/2) = (11/2,-1)