Answer:
Both the product and sum of the two numbers are irrational because
√
7
is an irrational number.
Step-by-step explanation:
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.
Speed = distance/time
Speed = 90 meters/45 seconds
Simplify the above answer
Speed = 2 meters/second
You can double-check this: You walk 2 meters per second, so multiply 2 by 45 (that is how many seconds), and you get 90.
The answer is the first one
Answer:
2.66 and 4.34
Step-by-step explanation:
To evaluate, substitute the values of y and solve.
So, when y =-2
0.67y + 4 = -1.34 + 4 = 2.66
And when y = 2
0.67y + 4 = 1.34 + 4 = 4.34
Hope this helps.