Answer:
range: 13, mean: 6
Step-by-step explanation:
You get range by subtracting the largest number (15) by the smallest number (2). 15-2 equals 13.
You get mean by adding up all of the numbers (2+2+3+4+5+5+6+8+10+15=60) and dividing the sum by the amount of numbers in the list (10). 60/10 equals 6.
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
Answer:
max height = 7.5 ft
1.3 ft far
Please check below for the detailed answer
Step-by-step explanation:
<u>Given: </u>
f(x) = −0.3x^2 + 2.1x + 7
a) To obtain the maximum height , find f'(x)
f'(x) = - 0.6x + 0.8 = 0
=> x = 0.8 / 0.6 = 1.33 feet
So f(x) is maximum at a horizontal distance of 1.33 ft
To find the max height , find f(1.33)
f(x) = −0.3x^2 + 2.1x + 7, plug in 1.33 for x
=> f(1.33) = −0.3(1.77) + 0.8(1.33) + 7 = 7.5 ft
So the answer is
Maximum height = 7.5 ft , and 1.3 ft far from where it was thrown.
Yes it is equal to 10560 ft
hope this helps you