Answer:
54
Step-by-step explanation:
2x+2=3x-52
subtract 2 from both sides
2x=3x-54
x=54
For this case, we must find the quadratic equation equivalent to:

By definition we have to:

So:

So, we have:


Equal signs add up and the same sign is placed.
Different signs are subtracted and the sign of the major is placed.

Answer:

Answer: E(X) = 30; Var[X] = 180
Step-by-step explanation: This is a <u>Bernoulli</u> <u>Experiment</u>, i.e., the experiment is repeated a fixed number of times, the trials are independents, the only two outcomes are "success" or "failure" and the probability of success remains the same, So, to calculate <em><u>Expected</u></em> <em><u>Value</u></em>, which is the mean, in these conditions:

r is number of times it is repeated
p is probability it happens
Solving:

E(X) = 30
<u>Variance</u> is given by:
![Var[X]=\frac{r(1-p)}{p^{2}}](https://tex.z-dn.net/?f=Var%5BX%5D%3D%5Cfrac%7Br%281-p%29%7D%7Bp%5E%7B2%7D%7D)
![Var[X]=\frac{5(1-1/6)}{(1/6)^{2}}](https://tex.z-dn.net/?f=Var%5BX%5D%3D%5Cfrac%7B5%281-1%2F6%29%7D%7B%281%2F6%29%5E%7B2%7D%7D)
![Var[X]=5.\frac{5}{6}.6^{2}](https://tex.z-dn.net/?f=Var%5BX%5D%3D5.%5Cfrac%7B5%7D%7B6%7D.6%5E%7B2%7D)
Var[X] = 180
Expected Value and Variance of the number of times one must throw a die until 1 happens 5 times are 30 and 180, respectively.
I’m learning this right now actually! The first one is...pretend the 2 is small. x2+2-15 and the second answer is x2+7-30!