Answer:
1. m<t=72
m<u=54
2. m< 76
m<76
3. EF=18in
m<f=134
4. m<p=60
m<Q=60
m<r=60
I can help explain this part and answer the rest is u wanna call but if not then its all good. IM currently editing it to get the rest of the answers for u
5. x=4
6.x=7
7. For this equation the numbers are too blury and i cant read them.
8. x=13
9. x=27
10.x=17.72
11. For this one i cant rlly se the numbers very well.
Keep in mind that for all of them, i may have messed up since the numbers are blurry and i may have mistaken.
Step-by-step explanation:
Answer:
p=20
Step-by-step explanation:
2(p+12)=64
Step 1: Simplify both sides of the equation.
2(p+12)=64
(2)(p)+(2)(12)=64(Distribute)
2p+24=64
Step 2: Subtract 24 from both sides.
2p+24−24=64−24
2p=40
Step 3: Divide both sides by 2.
2p
2
=
40
2
a. The mean of 
is
![E[X]=\displaystyle\int_{-\infty}^\infty xf_X(x)\,\mathrm dx=\frac12\int_0^\pi x\sin x\,\mathrm dx=\frac\pi2](https://tex.z-dn.net/?f=E%5BX%5D%3D%5Cdisplaystyle%5Cint_%7B-%5Cinfty%7D%5E%5Cinfty%20xf_X%28x%29%5C%2C%5Cmathrm%20dx%3D%5Cfrac12%5Cint_0%5E%5Cpi%20x%5Csin%20x%5C%2C%5Cmathrm%20dx%3D%5Cfrac%5Cpi2)
Recall that the variance of a random variable is
![\mathrm{Var}[X]=E[(X-E[X])^2]=E[X^2]-E[X]^2](https://tex.z-dn.net/?f=%5Cmathrm%7BVar%7D%5BX%5D%3DE%5B%28X-E%5BX%5D%29%5E2%5D%3DE%5BX%5E2%5D-E%5BX%5D%5E2)
We have
![E[X^2]=\displaystyle\int_{-\infty}^\infty x^2f_X(x)\,\mathrm dx=\frac12\int_0^\pi x^2\sin x\,\mathrm dx=\frac{\pi^2-4}2](https://tex.z-dn.net/?f=E%5BX%5E2%5D%3D%5Cdisplaystyle%5Cint_%7B-%5Cinfty%7D%5E%5Cinfty%20x%5E2f_X%28x%29%5C%2C%5Cmathrm%20dx%3D%5Cfrac12%5Cint_0%5E%5Cpi%20x%5E2%5Csin%20x%5C%2C%5Cmathrm%20dx%3D%5Cfrac%7B%5Cpi%5E2-4%7D2)
so that
![\mathrm{Var}[X]=\dfrac{\pi^2-4}2-\dfrac{\pi^2}4=\dfrac{\pi^2-8}4](https://tex.z-dn.net/?f=%5Cmathrm%7BVar%7D%5BX%5D%3D%5Cdfrac%7B%5Cpi%5E2-4%7D2-%5Cdfrac%7B%5Cpi%5E2%7D4%3D%5Cdfrac%7B%5Cpi%5E2-8%7D4)
and the standard deviation is
![\sqrt{\mathrm{Var}[X]}=\dfrac{\sqrt{\pi^2-8}}2](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cmathrm%7BVar%7D%5BX%5D%7D%3D%5Cdfrac%7B%5Csqrt%7B%5Cpi%5E2-8%7D%7D2)
b.
Answer:
7 4 9
5 6 1
3 2 8
Step-by-step explanation:
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