Answer:
X is a discrete random variable.
X can take values from 0 to 12:
![X\in[0,1,2,3,4,5,6,7,8,9,10,11,12]](https://tex.z-dn.net/?f=X%5Cin%5B0%2C1%2C2%2C3%2C4%2C5%2C6%2C7%2C8%2C9%2C10%2C11%2C12%5D)
Step-by-step explanation:
(a) X = the number of unbroken eggs in a randomly chosen standard egg carton
X is a discrete random variable.
The minimum amount of eggs broken is 0 and the maximum amount of eggs broken is 12 (assuming a dozen egg carton).
Then, X can take values from 0 to 12:
![X\in[0,1,2,3,4,5,6,7,8,9,10,11,12]](https://tex.z-dn.net/?f=X%5Cin%5B0%2C1%2C2%2C3%2C4%2C5%2C6%2C7%2C8%2C9%2C10%2C11%2C12%5D)
About the probability ditribution nothing can be said, because there is no information about it (it can be a binomial, uniform or non-standard distribution).
-----------------
0.04m² - n²
(0.2m)² - n²
<span>(0.2m + n)(0.2m - n)</span>
-----------------
Eight x plus y equals two over seven
To get heads: 1/2 because there are two sides to a coin.
There are 6 sides on a cube and 2 numbers are greater than 4 (5 and 6) so 2/6
Now multiply: 1/2 * 2/6 = 2/12 = 1/6
1/6 is the final answer.
Answer:
-x^2 - 11x -30
Step-by-step explanation:
Solve using foiling. Ignore the -1 to begin with and just look at the part in parenthesis. Do x from the first parenthesis times the stuff in the second parenthesis.
ie: x(x) and x(6)
ie: x^2 + 6x
Then do the 5 times the things in the second parenthesis.
ie: 5(x) and 5(6)
ie: 5x + 30
Then add what you got from multiplying the first value to what you got from multiplying the second.
ie: x^2 + 11x + 30
This is a trinomial because it has three different variables. Now change all the signs to negative because of the -1 out front.
ie: -x^2 - 11x -30