Answer:
(a)
c=1/2
cdf is ![F(x) = x^2](https://tex.z-dn.net/?f=F%28x%29%20%3D%20x%5E2)
Step-by-step explanation:
Remember that if
is the pdf of a random variable X .
![\int\limits_{-\infty}^{\infty} f(x) \,dx = 1](https://tex.z-dn.net/?f=%5Cint%5Climits_%7B-%5Cinfty%7D%5E%7B%5Cinfty%7D%20f%28x%29%20%5C%2Cdx%20%3D%201)
Then,
(a)
![\int\limits_{-\infty}^{\infty} 4xc \,dx = \int\limits_{0}^{1} 4xc \, d x = 2c = 1](https://tex.z-dn.net/?f=%5Cint%5Climits_%7B-%5Cinfty%7D%5E%7B%5Cinfty%7D%20%204xc%20%5C%2Cdx%20%3D%20%5Cint%5Climits_%7B0%7D%5E%7B1%7D%20%204xc%20%5C%2C%20d%20x%20%3D%202c%20%3D%201)
Therefore
c=1/2
and
![f(x)=2x](https://tex.z-dn.net/?f=f%28x%29%3D2x)
then to compute the cdf, we have
![F(x) = P(X \leq x) = \int\limits_{-\infty}^{x} 2y \,dy = \int\limits_{0}^{x} 2y \, dy = x^2](https://tex.z-dn.net/?f=F%28x%29%20%3D%20P%28X%20%5Cleq%20x%29%20%3D%20%5Cint%5Climits_%7B-%5Cinfty%7D%5E%7Bx%7D%20%20%202y%20%5C%2Cdy%20%20%3D%20%20%5Cint%5Climits_%7B0%7D%5E%7Bx%7D%20%20%202y%20%5C%2C%20dy%20%3D%20%20x%5E2)
Answer:
170 Subscribers.
Step-by-step explanation:
He had 165 then he got 5 more so you need to add the amount so 165 and 5 would give you the answer of 170 subscribers. Hope This Helps.
Y=kx
-5=k(15)
-5/15=k
-1/3=k
now,
y=-1/5x
3=-1/5x
3×5=-1(x)
15=-1(x)
multiplying both sides by -1,we get
-15=x
Answer:
U(-1,3)
V(2,2)
W(-2,-3)
Step-by-step explanation:
Answer: 4 cm and 11 cm.
Step-by-step explanation:
1. You can calculate the perimeter of a parallelogram as following:
![P=a+b+c+d](https://tex.z-dn.net/?f=P%3Da%2Bb%2Bc%2Bd)
Where a+b+c+d are the lenghts of the sides.
By definition the parallelogram has two pairs of parallel sides, therefore:
a=c and b=d
Then, you can calculate the perimeter as following:
2. Let's call the adjacent side
, then the other side is 2x+3.
3. Substitute values and solve for x:
![30=2(x+2x+3)\\30=2(3x+3)\\30=6x+6\\24=6x\\x=4](https://tex.z-dn.net/?f=30%3D2%28x%2B2x%2B3%29%5C%5C30%3D2%283x%2B3%29%5C%5C30%3D6x%2B6%5C%5C24%3D6x%5C%5Cx%3D4)
4. Then the lenghts of the sides are:
![x=4cm\\2x+3=2(4cm)+3=11cm](https://tex.z-dn.net/?f=x%3D4cm%5C%5C2x%2B3%3D2%284cm%29%2B3%3D11cm)