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
As perimeter of a square is 4*x, it means x=Perimeter/4=200m/4=50m.Now area of the square=x^2=50m^2=2500sq. meter.
Answer:
56.842 km/hr
0.947 km / min
15.789 m/s
Step-by-step explanation:
speed = distance / time
let's assume your teacher wants it in km/ hr
28.5 minutes = ? hours
60 minutes = 1 hour
we can multiply both sides of 60 minutes = 1 hour by 28.5/60 to get 28.5 minutes = 28.5/60 hours
distance = 27 km
27 km / (28.5/60) hours = 56.842 km/hr
in km / minute
27 km / 28.5 minutes = 0.947 km / min
in meters/second:
1 minute = 60 seconds
28.5 minutes = ? seconds
we can multiply both sides of the first equation by 28.5 to get
28.5 minutes = 1710 seconds
27 km = ? meters
1 km = 1000 meters
we can multiply both sides of the second equation by 27 to get
27km = 27000 meters
27000 meters / 1710 seconds = 15.789 m/s
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Answer: 500$
Explanation:
I hope this helped!
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- Zack Slocum
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Answer:
According to the laws of indices, when multiplying numbers with exponents and the bases are the same add the powers
