Using the hypergeometric distribution, it is found that there is a 0.4286 = 42.86% probability of getting 2 of the same colour.
The marbles are chosen without replacement, hence the <em>hypergeometric </em>distribution is used to solve this question.
<h3>What is the hypergeometric distribution formula?</h3>
The formula is:


The parameters are:
- x is the number of successes.
- N is the size of the population.
- n is the size of the sample.
- k is the total number of desired outcomes.
In this problem:
- There is a total of 3 + 4 = 7 marbles, hence N = 7.
- Of those, 3 are blue, hence k = 3.
- 2 marbles will be taken, hence n = 2.
The probability of getting 2 of the same colour is the sum of P(X = 0), which is both red, with P(X = 2), which is both blue, then:



Hence:

0.4286 = 42.86% probability of getting 2 of the same colour.
You can learn more about the hypergeometric distribution at brainly.com/question/4818951
Answer:
a(n) = a(1) -3(n-1)
Step-by-step explanation:
1) find slope. when its perpendicular, It will be a negative reciprocal to the given slope so m1= -1/m1
m=-1
2)
y =-1x+b
(-3)=-1(2)+b
-3=-2+b
b=-1
3) y=-1x-1
hope I helped!
Answer: 7 gallons decrease per minute
Step-by-step explanation:
56 gallons / 8 minutes = 7 gallons per minute
to make sure do it backwards: 7 gallons x 8 minutes = 56 gallons :)