Answer:
The answer is C
Step-by-step explanation:
Answer:
The system is composed of these two inequalities combined
y <= -x+4
y >= (1/3)x
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Explanation:
The solid line has the boundary equation y = -x+4
This line goes through (0,4) and (4,0). Using the slope formula, we find that m = -1. Plugging m = -1 and (x,y) = (0,4) into y = mx+b leads to y = -x+4
The shading is below the solid line so we change the equal sign to a "less than or equal to" sign, which leads us to y <= -x+4
That takes care of the first inequality. We must use "or equal to" as part of the inequality to ensure the boundary is solid
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The second inequality is y > (1/3)x as the boundary line is y = (1/3)x. This line goes through (0,0) and (3,1). The slope is 1/3 and y intercept is 0
The boundary is a dashed line. This means we don't have "or equal to" as part of the inequality
C. Integrity means you are honest and trustworthy
Answer:
everything that you need to know about that function!
Step-by-step explanation:
https://www.symbolab.com/solver/pre-calculus-functions-calculator/f%5Cleft(x%5Cright)%3D3x%2B27
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