I think the answer is 59.000 B
The probability density function (pdf) is;
f(x)=
for a ≤ x ≤ b.
while the mean is given as ![\frac{a + b}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%20%2B%20b%7D%7B2%7D)
And the standard deviation given as ![\sqrt{\frac{(b - a)^{2} }{12} }](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B%28b%20-%20a%29%5E%7B2%7D%20%7D%7B12%7D%20%7D)
Answer:
70
Step-by-step explanation:
I hope this is right but the equation is 6r + 60 = 480
So I did 480 subtracted 60 =420 and then I did 420 divided by 6
I hope this is helpful!!!!
![\displaystyle\lim_{x\to\pi}\dfrac{e^{\sin x}-1}{x-\pi}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Clim_%7Bx%5Cto%5Cpi%7D%5Cdfrac%7Be%5E%7B%5Csin%20x%7D-1%7D%7Bx-%5Cpi%7D)
Notice that if
![f(x)=e^{\sin x}](https://tex.z-dn.net/?f=f%28x%29%3De%5E%7B%5Csin%20x%7D)
, then
![f(\pi)=e^{\sin\pi}=e^0=1](https://tex.z-dn.net/?f=f%28%5Cpi%29%3De%5E%7B%5Csin%5Cpi%7D%3De%5E0%3D1)
. Recall the definition of the derivative of a function
![f(x)](https://tex.z-dn.net/?f=f%28x%29)
at a point
![x=c](https://tex.z-dn.net/?f=x%3Dc)
:
![f'(c):=\displaystyle\lim_{x\to c}\frac{f(x)-f(c)}{x-c}](https://tex.z-dn.net/?f=f%27%28c%29%3A%3D%5Cdisplaystyle%5Clim_%7Bx%5Cto%20c%7D%5Cfrac%7Bf%28x%29-f%28c%29%7D%7Bx-c%7D)
So the value of this limit is exactly the value of the derivative of
![f(x)=e^{\sin x}](https://tex.z-dn.net/?f=f%28x%29%3De%5E%7B%5Csin%20x%7D)
at
![x=\pi](https://tex.z-dn.net/?f=x%3D%5Cpi)
.
You have