PLS HELP!!! WILL GIVE BRAINLIEST (number 27)
1 answer:
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Complete Question:
The profile of a dam is modeled by the equation y = 24 (StartFraction x Over 10 EndFraction) squared, where x represents horizontal distance and y represents height, both in meters.
Point Z is at a horizontal distance of 15 meters from the left-most point of the dam. What is the height of the dam at point Z?
Answer:
The height is 36 meters
Step-by-step explanation:
Given
Required
The interpretation of the question is to determine the value of y when x = 15
Substitute 15 for x in:
<em>The height is 36 meters</em>
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