85 yen are equivalent to 1 euro ⇒ answer O
Step-by-step explanation:
The given is:
- 1 dollar = 1.2 euros
- 1 dollar = 102 yen
We need to find how many yens are equivalent to 1 euro
∵ 1 dollar = 1.2 euros
∵ 1 dollar = 102 yen
- Equate the two right sides of 1 dollar
∴ 1.2 euros = 102 yen
- To find 1 euro equals how many yen divide both sides by 1.2
∵ (1.2 ÷ 1.2) euros = (102 ÷ 1.2) yen
∴ 1 euro = 85 yen
85 yen are equivalent to 1 euro
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Answer:
Y=5x+8
Step-by-step explanation:
Distribute then move 3 to other side and you get the answer.
Answer:
Follows are the solution to the given points:
Step-by-step explanation:
Given value:
For point a:
Moment generating function of X=?
Using formula:
integrating the values by parts:
![u = x \\\\dv = e^{(t-1)x}\\\\dx =dx \\\\v= \frac{e^{(t-1)x}}{t-1}\\\\M(t) =[\frac{e^{(t-1)x}}{t-1}]^{-\infty}_{0} -\int^{\infty}_{0} \frac{e^{(t-1)x}}{t-1} \ dx\\\\](https://tex.z-dn.net/?f=u%20%3D%20x%20%5C%5C%5C%5Cdv%20%3D%20e%5E%7B%28t-1%29x%7D%5C%5C%5C%5Cdx%20%3Ddx%20%5C%5C%5C%5Cv%3D%20%5Cfrac%7Be%5E%7B%28t-1%29x%7D%7D%7Bt-1%7D%5C%5C%5C%5CM%28t%29%20%3D%5B%5Cfrac%7Be%5E%7B%28t-1%29x%7D%7D%7Bt-1%7D%5D%5E%7B-%5Cinfty%7D_%7B0%7D%20%20-%5Cint%5E%7B%5Cinfty%7D_%7B0%7D%20%5Cfrac%7Be%5E%7B%28t-1%29x%7D%7D%7Bt-1%7D%20%5C%20dx%5C%5C%5C%5C)
![= \frac{1}{t-1} (0) - [\frac{e^{(t-1)x}}{(t-1)^2}]^{\infty}_{0}\\\\=\frac{1}{(t-1)^2}(0-1)\\\\=\frac{1}{(t-1)^2}\\\\](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B1%7D%7Bt-1%7D%20%280%29%20-%20%5B%5Cfrac%7Be%5E%7B%28t-1%29x%7D%7D%7B%28t-1%29%5E2%7D%5D%5E%7B%5Cinfty%7D_%7B0%7D%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B%28t-1%29%5E2%7D%280-1%29%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B%28t-1%29%5E2%7D%5C%5C%5C%5C)
Therefore, the moment value generating by the function is 
In point b:
Using formula:
form point (a):
Differentiating the value with respect of t
when 
