Using the hypergeometric distribution, it is found that there is a 0.0065 = 0.65% probability that both David and Valerie get picked for the Tahitian dance lesson.
The people are chosen without replacement from the sample, hence the <em>hypergeometric distribution </em>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 18 people, hence .
- 2 people will be chosen, hence .
- David and Valerie corresponds to 2 people, hence .
The probability that both get picked is P(X = 2), hence:
0.0065 = 0.65% probability that both David and Valerie get picked for the Tahitian dance lesson.
You can learn more about the hypergeometric distribution at brainly.com/question/25783392
X is the short piece
(3•x-1)+x=31
4x=31+1
X=32/4=8
Short piece is 8
Long piece is 3•8-1=23
Check 8+23=31 ✔️
Step-by-step explanation:
v= 4/3πr³
4/3×314/100×8×8×8
•
= 2,143.573
James Fenimore Cooper used his words to connect Fine Arts and the Changes in American culture by writing about America's Westward expansion and the Indians in this first western novel.
<h3>
What did James Fenimore Cooper write in his first novels?</h3>
James Fenimore Cooper based his first western novels on themes relating to:
- the frontier
- White/Indian Conflicts
- America's Westward Expansion
- Romantic Ideas about the American West.
Hence the correct answer is A.
Learn more about James Fenimore Cooper at:
brainly.com/question/3886133
The diagonals are perpendicular to each other.
The right triangle has half of each diagonal as sides, so the hypotenuse or side length is Sqrt(9^2 + 12^2) = 15.
Hint: a 3,4,5 sided triangle is the smallest integer right triangle. Doubling or tripling, etc. is still a right triangle. So when I saw the 9,12, I knew that 15 was the hypotenuse.