![\: \: \: \: \: \:](https://tex.z-dn.net/?f=%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20)
<h2><u>Rewrite</u><u> the</u><u> </u><u>decimal</u></h2>
<u>
</u>
<h2><u>hope</u><u> it</u><u> helps</u></h2>
<u>see</u><u> the</u><u> attachment</u><u> for</u><u> explanation</u>
Expectation is linear in the sense that
![E[2X+3Y]=E[2X]+E[3Y]=2E[X]+3E[Y]](https://tex.z-dn.net/?f=E%5B2X%2B3Y%5D%3DE%5B2X%5D%2BE%5B3Y%5D%3D2E%5BX%5D%2B3E%5BY%5D)
so that
![E[2X+3Y]=2\cdot6+3\cdots9=12+27=\boxed{39}](https://tex.z-dn.net/?f=E%5B2X%2B3Y%5D%3D2%5Ccdot6%2B3%5Ccdots9%3D12%2B27%3D%5Cboxed%7B39%7D)
Answer:
European Union
Step-by-step explanation:
Correct on edge
Answer:
a) 2.5
b) x = 10
Step-by-step explanation:
![a) \: \frac{10}{4} = \frac{5}{2} = 2.5](https://tex.z-dn.net/?f=a%29%20%5C%3A%20%20%5Cfrac%7B10%7D%7B4%7D%20%20%3D%20%20%5Cfrac%7B5%7D%7B2%7D%20%20%3D%202.5)
![b) \frac{10}{4} = \frac{25}{x} \\ \\ 10x = 25 \times 4 \\ 10x = 100 \\ \\ x = \frac{100}{10} = 10 \\ \\ x = 10](https://tex.z-dn.net/?f=b%29%20%5Cfrac%7B10%7D%7B4%7D%20%20%3D%20%20%5Cfrac%7B25%7D%7Bx%7D%20%20%20%5C%5C%20%20%5C%5C%2010x%20%3D%2025%20%5Ctimes%204%20%5C%5C%2010x%20%3D%20100%20%5C%5C%20%20%5C%5C%20x%20%3D%20%20%5Cfrac%7B100%7D%7B10%7D%20%20%3D%2010%20%5C%5C%20%20%5C%5C%20x%20%3D%2010)
I hope I helped you^_^
Answer:
The number is 25
Step-by-step explanation:
we have
![x^{2} -10x=7](https://tex.z-dn.net/?f=x%5E%7B2%7D%20-10x%3D7)
we know that
![10/2=5](https://tex.z-dn.net/?f=10%2F2%3D5)
so
Adds
both sides
![x^{2} -10x+5^{2}=7+5^{2}](https://tex.z-dn.net/?f=x%5E%7B2%7D%20-10x%2B5%5E%7B2%7D%3D7%2B5%5E%7B2%7D)
![x^{2} -10x+25=7+25](https://tex.z-dn.net/?f=x%5E%7B2%7D%20-10x%2B25%3D7%2B25)
![x^{2} -10x+25=32](https://tex.z-dn.net/?f=x%5E%7B2%7D%20-10x%2B25%3D32)
Rewrite as perfect squares
![(x-5)^{2}=32](https://tex.z-dn.net/?f=%28x-5%29%5E%7B2%7D%3D32)