Based the density function of the observed outcome, the probability
is equal to 0.1388.
<h3>What is a density function?</h3>
A density function can be defined as a type of function which is used to represent the density of a continuous random variable that lies within a specific range.
Given the following density function:

Next, we would calculate
;
![P(x\leq \frac{1}{3} )=\int\limits^\frac{1}{3} _0 {f(x)} \, dx \\\\P(x\leq \frac{1}{3} )=2 \int\limits^\frac{1}{3} _0 {(1-x)} \, dx \\\\P(x\leq \frac{1}{3} )=2|x-\frac{x^2}{2} |\limits^\frac{1}{3} _0\\\\P(x\leq \frac{1}{3} )=2[\frac{1}{3} -\frac{1}{2} (\frac{1}{3})^2]\\\\P(x\leq \frac{1}{3} )=2[\frac{1}{3} -\frac{1}{18}]\\\\P(x\leq \frac{1}{3} )=0.1388](https://tex.z-dn.net/?f=P%28x%5Cleq%20%5Cfrac%7B1%7D%7B3%7D%20%29%3D%5Cint%5Climits%5E%5Cfrac%7B1%7D%7B3%7D%20_0%20%7Bf%28x%29%7D%20%5C%2C%20dx%20%5C%5C%5C%5CP%28x%5Cleq%20%5Cfrac%7B1%7D%7B3%7D%20%29%3D2%20%5Cint%5Climits%5E%5Cfrac%7B1%7D%7B3%7D%20_0%20%7B%281-x%29%7D%20%5C%2C%20dx%20%5C%5C%5C%5CP%28x%5Cleq%20%5Cfrac%7B1%7D%7B3%7D%20%29%3D2%7Cx-%5Cfrac%7Bx%5E2%7D%7B2%7D%20%7C%5Climits%5E%5Cfrac%7B1%7D%7B3%7D%20_0%5C%5C%5C%5CP%28x%5Cleq%20%5Cfrac%7B1%7D%7B3%7D%20%29%3D2%5B%5Cfrac%7B1%7D%7B3%7D%20-%5Cfrac%7B1%7D%7B2%7D%20%28%5Cfrac%7B1%7D%7B3%7D%29%5E2%5D%5C%5C%5C%5CP%28x%5Cleq%20%5Cfrac%7B1%7D%7B3%7D%20%29%3D2%5B%5Cfrac%7B1%7D%7B3%7D%20-%5Cfrac%7B1%7D%7B18%7D%5D%5C%5C%5C%5CP%28x%5Cleq%20%5Cfrac%7B1%7D%7B3%7D%20%29%3D0.1388)
Read more on probability here: brainly.com/question/25870256
Scientific misconducts are an infringement of the ethical codes. In the given scenario the negligence of the cited source in the data is misconduct.
<h3>What is cited source?</h3>
Cited sources are the references of the data taken from the other places and websites that are included in your content as an image, text, figures, statements, etc.
The text or the data used from other sources must be cited by including the name of the authors from the authentic source followed by the author from the secondary reference.
Therefore, the negligence of the cited source is a type of scientific misconduct.
Learn more about scientific misconduct here:
brainly.com/question/21502129
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Answer:
3. Homogenous and unsaturated
Explanation:
Since your given information mentions 50 grams of solvent and 5 grams of solute, you must double each amount because "
Table G Solubility Curves" in the Regents Chemistry Reference Table notates curves based off of 100 g samples of water. Therefore, you must look for how soluble 10 grams of KCl is in 100 grams of water at 25 degrees Celsius.
As the picture shows, 10 grams of KCl is well below the curve for saturation, meaning that the solution is undersaturated.
As for the second part of the answer, we can tell that the solution is homogenous (of uniform composition) because there is no possibility of the salt, KCl, falling out of solution and making the mixture heterogenous (of mixed composition).
Putting all of those ideas together, we can tell that the answer to this question is:
3. Homogenous and unsaturated
Answer:
Which one is the underlined word?
Explanation:
I couldn't see the underlined word. Please rewrite the question in order for me to help you. (Tip: use Ctrl+U to write an underlined word.)