You can change them into fractions with the same denominator: multiply 3/4 by 3 and 2/3 by 4
3/4 = 9/12
2/3 = 8/12
You could also convert them to decimals.
3/4 = 0.75
2/3 = 0.667
3/4 is greater than 2/3
3rd option I believe could be wrong
We obtain the joint PMF directly from the joint MGF:
![\implies\mathrm{Pr}[X=x,Y=y]=\begin{cases}0.1&\text{for }x=y=0\\0.2&\text{for }x=1,y=0\\0.3&\text{for }x=0,y=1\\0.4&\text{for }x=y=1\\0&\text{otherwise}\end{cases}](https://tex.z-dn.net/?f=%5Cimplies%5Cmathrm%7BPr%7D%5BX%3Dx%2CY%3Dy%5D%3D%5Cbegin%7Bcases%7D0.1%26%5Ctext%7Bfor%20%7Dx%3Dy%3D0%5C%5C0.2%26%5Ctext%7Bfor%20%7Dx%3D1%2Cy%3D0%5C%5C0.3%26%5Ctext%7Bfor%20%7Dx%3D0%2Cy%3D1%5C%5C0.4%26%5Ctext%7Bfor%20%7Dx%3Dy%3D1%5C%5C0%26%5Ctext%7Botherwise%7D%5Cend%7Bcases%7D)
Then
![\mathrm{Pr}[X=Y]=\mathrm{Pr}[X=Y=0]+\mathrm{Pr}[X=Y=1]=0.1+0.4=\boxed{0.5}](https://tex.z-dn.net/?f=%5Cmathrm%7BPr%7D%5BX%3DY%5D%3D%5Cmathrm%7BPr%7D%5BX%3DY%3D0%5D%2B%5Cmathrm%7BPr%7D%5BX%3DY%3D1%5D%3D0.1%2B0.4%3D%5Cboxed%7B0.5%7D)
15c + 70b < 4000 lbs
THE SIGN SHOULD HAVE A LINE UNDER IT FOR EQUAL TO! :)
hope this helps!
Answer:r=3q+2/3
Step-by-step explanation:
Step 1: Flip the equation.
3r-6=9q-4
Step 2: Add 6 to both sides.
3r-6+6=9q-4+6
3r=9q+2
Step 3: Divide both sides by 3.
3r/3=9q+2/3
r=3q+2/3
Hopefully it’s right
