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
The quotations which support the central idea that brutus thinks caesar is dangerous and needs to be killed before he becomes even more dangerous are:
- A) And to speak truth of Caesar, / I have not known when his affections swayed / More than his reason.”
- D) “And since the quarrel / Will bear no colour for the thing he is”
- E) “And therefore think him as a serpent’s egg / Which, hatched, would as his kind grow mischievous, / And kill him in the shell.”
<h3>Who was Julius Caesar?</h3>
Julius Caesar was a Roman politician who was known for his conspirator against Julius Caesar.
The act 2, scene 1, of the Julius Caesar is given in the problem. In this scene, Brutus paces back and forth in the garden.
In this scene, he thinks Caesar is dangerous and needs to be killed. The quotations provided in option A, D and E suggest the central idea for the same.
Thus, the quotations which support the central idea that Brutus thinks Caesar is dangerous and needs to be killed before he becomes even more dangerous are:
- A) And to speak truth of Caesar, / I have not known when his affections swayed / More than his reason.”
- D) “And since the quarrel / Will bear no colour for the thing he is”
- E) “And therefore think him as a serpent’s egg / Which, hatched, would as his kind grow mischievous, / And kill him in the shell.”
Learn more about the Julius Caesar here;
brainly.com/question/3718085
#SPJ1
According to “Congress and the Quest for Power” by Lawrence Dodd, people enter politics because of their quest for power.
<h3>Dodd asserts that “
reelection” is necessary for three reasons. What are these three reasons?</h3>
The three reasons why reelections are required are:
- Personal Power
- Aura of Personal Legitimacy
- Opportunity go gain expertise and experience.
<h3>The “electoral connection” will lead members of Congress to emphasize what traits? </h3>
The “electoral connection” will lead members of Congress to emphasize :
- Form over substance
- Position Taking
- Advertisement
- Credit claiming.
<h3>What traits or actions will they begin to care about less?</h3>
The traits or actions they begin to care about less are:
- Failure to take clear and controversial positions;
- Failure to make hard choices
- Failure to exercise power.
<h3>What motive causes each member of Congress to be in conflict with each other?</h3>
The need to exercise power for making key policy decisions.
<h3>Where do Congress members spend the most time? Why?</h3>
They spend most of their time in:
- the committee or sub committee rooms
- in caucus meetings; or
- Office work related to legislation.
Learn more about congress at;
brainly.com/question/491441
#SPJ1
Speed= distance divided by time so s=d/t
first find the individual speeds during each running segment. we get
s=4.0/32=1/8 km per min
s=2.0/22=1/11 km per minute
s=1.0/16=1/16 km per minute
now we take the average. the person jogged a TOTAL of 7.0 km in a TOTAL 70 minutes. so on average, they jogged 7.0/70=1/10 km per minute
