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
in the urban ecosystem, the air is always is so much pollute, the waters too are always so much polluted hence not so much good for non human life. but in the undeveloped forest ecosystem, the air is so much fresh, the environment and the waters too hence find it better in the place.
¯\(°_o)/¯ by the way I hate edgunity
Answer:
828
Step-by-step explanation:
We have to find the perimeter of the triangle KLM.
We have been given that the length of the side LM=12, 
, and 
Refer the attached image.
In a triangle sum of three angles should be 
.
So,
Plugging the values of angle K and angle M, we get:
So,
Now, that we have the measure of angle L, we will apply sine rule to find the length of the sides KL and KM.
Using the sine law for the triangle KLM, we get:
Refer the image. Plugging the value of the sides of the triangle KLM and the angles of the triangle KLM, we get:
Now using,
We get the value of 'y'
So the length of the side KM is 13.38 units.
Now using,
We get the value of 'x'
So the length of the side KL is 9.79 units.
Now, to find the perimeter of the triangle KLM we need to sum up the length of the sides of the triangle KLM.
The perimeter of the triangle KLM 
units
Hello from MrBillDoesMath!
Answer: 48.2 degrees
Discussion:
In the diagram, "6" is the x- distance along the side adjacent to theta, and
3 * sqrt(5) is the y-distance along the side opposite angle theta.
By definition of tangent of angle, using "@" for theta, we have
tan (@) = opposite/adjacent = 3 * sqrt(5) / 6 = sqrt(5)/2
So @ = (inverse tangent (sqrt(5)/2) ) = 48.189 degrees (approximately)
Thank you,
MrB
