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Black_prince [1.1K]
3 years ago
13

Simplify. (-m-3n)^3-(m-3n)^3​

Mathematics
1 answer:
salantis [7]3 years ago
4 0

Answer: -2m^3-54mn^2

Step-by-step explanation:

\left(-m-3n\right)^3-\left(m-3n\right)^3

=\left(-m^3-9m^2n-27mn^2-27n^3\right)-\left(m-3n\right)^3

=\left(-m^3-9m^2n-27mn^2-27n^3\right)-\left(m^3-9m^2n+27mn^2-27n^3\right)

=\left(-m^3-9m^2n-27mn^2-27n^3\right)-m^3+9m^2n-27mn^2+27n^3

=-2m^3-54mn^2

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Answer:

a. The number of light bulbs that burn out in the next year in a room with 19 bulbs: is a discrete random variable.

b. The usual mode of transportation of people in City Upper A: is not a random variable because its outcome isn't numerical.

c. The number of statistics students now doing their homework: is a discrete random variable.

d. The number of home runs in a baseball game: is a discrete random variable.

e. The exact time it takes to evaluate 67 plus 29: is a continuous random variable.

f. The height of a randomly selected person: is a continuous random variable.

Step-by-step explanation:

A random variable often used in statistics and probability, is a variable that has its possible values as numerical outcomes of a random experiment or phenomenon. It is usually denoted by a capital letter, such as X.

In statistics and probability, random variables are either continuous or discrete.

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Example are the height of a randomly selected person, time it take to move from Texas to New York city, etc.

2. A discrete random variable is a variable that has its possible values as a finite value, meaning it can be counted.

Examples are the number of light bulbs that burn out in the next year in a room with 19 bulbs, the number of chicken in a district etc.

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