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
Answer:
3/4
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
because 
So,
Answer:
B
Step-by-step explanation:
The options in the question and the number line are shown in the image attached.
From the options, it is clear that the difference between the temperatures at 7:00 a.M. and 1:00 p.M is;
Temperature at 7:00 a.M - Temperature at 1:00 p.M
We can see from the number line that the temperature at 7:00 a.M = -4
Temperature at 1:00 p.M = 16
difference between the two temperatures = ∣(-4) - 16∣ = 20
Answer: D. (-6,2)
Step-by-step explanation:
y = x + 8
2x + y = -10
v
2x + x +8 = -10
x = -6
y = -6 + 8 ( plug in x (-6) )
y = 2
( x, y) = ( -6, 2)
