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
Answer:
adjective: sharp; adverb: fast
Explanation:
"sharp" describes "curve", which is a noun, and therefore, this is an adjective.
"fast" describes "skated" (I think), which is a verb, and therefore, this is an adverb.
Hope this helps!
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
They are funded primarily through state taxes. Public colleges and universities rely on state and local government appropriations to subsidize the cost of education for students. State tax revenues are the primary source of nontuition funding, but local taxes accounted for more than 11 percent of total appropriations
Answer:
B. web-only financial institution is the correct answer.
Explanation: