26.8 or 26.8224 depends on what rounding they ask for
Answer:
1kg of apple : €0.50
1kgof grapes : €1.20
Step-by-step explanation:
15kg of apples and 40kg of grapes costs €38
15kg of apples and 9kg of grapes costs €22.50
38 - 22.50 = 15.5
40 - 9 = 31
15.5 ÷ 31 = 0.5 ( 1kg of grapes )
0.5 × 3 = 1.5
7.5 - 1.5 = 6
6 ÷ 5 = 1.2 ( 1kg of apples )
Answer:
3/4
Step-by-step explanation:
8x = 6
x = other number = 6/8 = 3/4
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)
Answer:
n=6
Step-by-step explanation:
64(4^n)=262144 then divide it by 64 which is 4^n=4096. divide 4096 by 4 and you get 6
