<h2>
Explanation:</h2><h2>
</h2>
The figure to this problem is attached below. We know that angles ∠AEG and ∠GEC are supplementary, so:
∠AEG + ∠GEC = 180°
∠AEG = 8x°
∠GEC = (4x + 60)°
8x° + (4x + 60)° = 180°
(12x + 60)° = 180°
12x + 60 = 180
12x = 180 - 60
12x = 120
x = 10
∠AEG and ∠BEC are vertical angles, so they are congruent:
∠BEC = 8x°
∠BEC = 8(10)°
∠BEC = 80°
16y^3 + 9x^2y - 54x = 0
16*3y* dy/dx + 9x^2* dy/dx + 18xy - 54 = 0
dy/dx = = (54 - 18xy) / (48y + 9x^2)
I have to go I can do the second part later
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
1. Find the total number of class members
9 + 11 = 20
2. Find 9 as a percentage of 20
9 / 20 = 0.45
0.45 x 100 = 45%
<u>45% of the class are girls.</u>
Answer:
poop
Step-by-step explanation:
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