Answer:
D.) The expected value is 1.78
Step-by-step explanation:
The expected value of a probability distribution is evaluated using the formula.
Expected Value, ![E(X)=\sum^{n}_{i=1}x_iP(x_i)](https://tex.z-dn.net/?f=E%28X%29%3D%5Csum%5E%7Bn%7D_%7Bi%3D1%7Dx_iP%28x_i%29)
Therefore, from the given probability distribution, we have:
E(X)=(0*0.3)+(1*0.2)+(2*0.16)+(3*0.2)+(4*0.04)+(5*0.1)
E(X)=1.78
The Expected value of X is 1.78.
The correct option is D.
Answer:
6 inches
Step-by-step explanation:
The volume of a triangular pyramid can be found using
v=1/3bh
where b is the area of the base, and h is the height
We know the volume is 12, so let's find the area of the base
The area of a triangle can be found using:
a=bh/2
We know the base is 4, and the the height is 3, so we can substitute them in
a=4*3/2
a=12/2
a=6
Now, we can solve for the height
v=1/3bh
Substitute 12 in for v, and 6 in for b
12=1/3(6h)
Multiply both sides by 3
3*12=1/3(6h)*3
36=6h
Divide both sides by 6
h=6
The height is 6 inches
Answer:
i believe the answer to this is a total of 300 people because you multiply the ten percent into the 30 people which factors out some numerical values, so then your answer as i just said is 300 people in total attended the game.
Step-by-step explanation:
For
![x=\dfrac{1}{2}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B1%7D%7B2%7D)
the function is undefined.
![\displaystyle \lim_{x\to\tfrac{1}{2}^-} x\sec (\pi x)=\infty\\ \lim_{x\to\tfrac{1}{2}^+} x\sec (\pi x)=-\infty\\\\ \lim_{x\to\tfrac{1}{2}^-}x\sec (\pi x)\not = \lim_{x\to\tfrac{1}{2}^+}x\sec (\pi x) ](https://tex.z-dn.net/?f=%5Cdisplaystyle%0A%5Clim_%7Bx%5Cto%5Ctfrac%7B1%7D%7B2%7D%5E-%7D%20x%5Csec%20%28%5Cpi%20x%29%3D%5Cinfty%5C%5C%0A%5Clim_%7Bx%5Cto%5Ctfrac%7B1%7D%7B2%7D%5E%2B%7D%20x%5Csec%20%28%5Cpi%20x%29%3D-%5Cinfty%5C%5C%5C%5C%0A%5Clim_%7Bx%5Cto%5Ctfrac%7B1%7D%7B2%7D%5E-%7Dx%5Csec%20%28%5Cpi%20x%29%5Cnot%20%3D%20%5Clim_%7Bx%5Cto%5Ctfrac%7B1%7D%7B2%7D%5E%2B%7Dx%5Csec%20%28%5Cpi%20x%29%0A)
So, the limit doesn't exist.