3k-2=2k+4
-2k. -2k
k-2=4
+2. +2
k =6
The x-axis intercepts are the roots of the polynomial. So, the roots are x = - 2, x = - 1 and x = 3.
Therefore, the polynomial can be factored as:
(x - (-2)) * ( x - (-1) ) * (x - 3) = (x + 2)(x + 1)(x - 3).
Answer: (x + 2) (x + 1) (x - 3)
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
No, the reverse is not always true, because it isn't always snowing outside when it's cold. However, if it's snowing outside, it must be cold as snow is, essentially, tiny bits of ice.
Answer:
X =10
Step-by-step explanation:
If you have a scientific calculator that can help you a lot.
I will upload a picture you can follow to solve this problem.