Simplify the expression 3x²-5x-4+xy-(2xy+2x²) then evaluate the result if x=-1 and y=6
2 answers:
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Using the hypergeometric distribution, it is found that there is a 0.0273 = 2.73% probability that the third defective bulb is the fifth bulb tested.
In this problem, the bulbs are chosen without replacement, 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 are 12 bulbs, hence N = 12.
- 3 are defective, hence k = 3.
The third defective bulb is the fifth bulb if:
- Two of the first 4 bulbs are defective, which is P(X = 2) when n = 4.
- The fifth is defective, with probability of 1/8, as of the eight remaining bulbs, one will be defective.
Hence:
0.2182 x 1/8 = 0.0273.
0.0273 = 2.73% probability that the third defective bulb is the fifth bulb tested.
More can be learned about the hypergeometric distribution at brainly.com/question/24826394
Answer:
The standard form of a quadratic is y = ax^2 + bx + c.
- In this equation, the formula for the axis of symmetry is x =
.
- You know that the center will always be along that line, and you've got the x-coordinate already, so just plug that in and get the y-coordinate out for the center.
The vertex form of a quadratic is also helpful, y = a(x-h)^2 + k.
- In this equation, the formula for the center is (h, k), and the axis of symmetry is x = h! That's even easier!