Since he went 168 miles in 4 hours, then his speed is 42 mph. Then, 504 divided by 42 is 12. It will take 12 hours at a steady pace of 42 mph to reach 504 miles.
Answer:
Step-by-step explanation:
The colony of Pennsylvania was established by William Penn as a 'Holy Experiment'. It was given to him by the king in 1681, in payment of a debt he had to Penn's father. Amongst the other English colonies, Penn was the first leader of his colony that established peace with the natives. Then Penn made a peace treaty with the Leni lenape indians, and bought land from them. He hadn't needed to, but did anyways, and it was this act, as well as other kind acts towards the natives that formed peace between them. This also ensured a prosperous beginning for the new settlers of Pennsylvania, as the natives helped them with their crops, learning the way of the land and many such other useful things. Neither did they have wars that hurt the population. This is one of the reasons I'd want to live there, it is always good to have good relations, know what I mean? Philadelphia also means "Brotherly Love", I mean, who doesn't want to live in a place with such a groovy name?
The government was unlike that in most of the colonies in The New World. It allowed freedom of religion, even though Penn was a Quaker, and they tolerated everyones' individual beliefs. This also influenced the US's acceptance of every race and nationality. Legislative power in Pennsylvania was given to those elected by the colony. It gave people the freedom of choice, under the Concession. Thus the people were allowed a format of political freedom. The Frame of Government also proclaimed that capital punishment was to be given to those who had committed murder and crimes within that scope. Then in 1775 Pennsylvania was governed as a Proprietary Colony.Though this political view did not last forever, the time of prosperity under these laws was great. The United States Constitution is the supreme law of the United States of America. The Constitution, originally comprising seven articles, delineates the national frame of government, and it is mainly influenced by Philadelphia's form of government.
I hope that is what you're looking for, and it was enough info! :D
Notice that 
for 
implies that 
elsewhere, since
where 
is a random variable representing cable lengths according to the PDF 
.
a. By definition of expectation, the mean is
![E[X]=\displaystyle\int_{-\infty}^\infty x\,f(x)\,\mathrm dx=0.1\int_{1200}^{1210}x\,\mathrm dx=1205](https://tex.z-dn.net/?f=E%5BX%5D%3D%5Cdisplaystyle%5Cint_%7B-%5Cinfty%7D%5E%5Cinfty%20x%5C%2Cf%28x%29%5C%2C%5Cmathrm%20dx%3D0.1%5Cint_%7B1200%7D%5E%7B1210%7Dx%5C%2C%5Cmathrm%20dx%3D1205)
The variance is
![\operatorname{Var}[X]=E[(X-E[X])^2]=E[X^2]-E[X]^2](https://tex.z-dn.net/?f=%5Coperatorname%7BVar%7D%5BX%5D%3DE%5B%28X-E%5BX%5D%29%5E2%5D%3DE%5BX%5E2%5D-E%5BX%5D%5E2)
where
![E[X^2]=\displaystyle\int_{-\infty}^\infty x^2\,f(x)\,\mathrm dx=0.1\int_{1200}^{1210}x^2\,\mathrm dx=\frac{4,356,100}3](https://tex.z-dn.net/?f=E%5BX%5E2%5D%3D%5Cdisplaystyle%5Cint_%7B-%5Cinfty%7D%5E%5Cinfty%20x%5E2%5C%2Cf%28x%29%5C%2C%5Cmathrm%20dx%3D0.1%5Cint_%7B1200%7D%5E%7B1210%7Dx%5E2%5C%2C%5Cmathrm%20dx%3D%5Cfrac%7B4%2C356%2C100%7D3)
so that the variance is 
, making the standard deviation 
.
b. The proportion of cables within specs is
→Answer:
→Step-by-step explanation:
Well the formula for the area of a circle is 
.
<u><em>→Given information</em></u>
Pi is 3.142
radius is 4 cm
answer must be rounded to the nearest tenth
____________________________________________________________
So now we have to plug in the given information into the following formula .
(3.142)(4)^2
So now we have to solve this formula using PEMDAS.
So 4 squared is 16 and 16*3.142 is 50.272cm^2.
The question clearly states the given answer must be rounded into the nearest tenth so 50.272 is 50.3 cm^2.
__________________I do hope this helps!__________________________
