1. a (n) = -0.6(n) + 14.6
2. a (12) =7.4 sec
3. 6th race
Would you like an explanation?
when someone says a number squared or cubed, or to the certain power, it means how many times you multiply the base number by itself that many times, for example
2²= 2 * 2
or 9³ = 9 x 9 x 9
a square root or cube root, is a harder to understand, but still somewhat simple, it basically means how many what number squared or cubed equals this number.
so for example the square root of 9 = 3 because 3 x 3=9
or cube roots for example ∛125= 5 because 5 x 5 x 5
So here is an example one for you. √81.
Answer: 3/4 of an hour left.
Step-by-step explanation:
Step 1: 2 hours = 4/4 +4/4
Step 2: 4/4 - 2/4 = 2/4
Step 3: 4/4 - 3/4 = 1/4
Step 4: 2/4 + 1/4= 3/4
Answer:
In order to find the variance we need to calculate first the second moment given by:
And the variance is given by:
![Var(X) = E(X^2) +[E(X)]^2 = 23.36 -[4.74]^2 = 0.8924](https://tex.z-dn.net/?f=%20Var%28X%29%20%3D%20E%28X%5E2%29%20%2B%5BE%28X%29%5D%5E2%20%3D%2023.36%20-%5B4.74%5D%5E2%20%3D%200.8924)
And the deviation would be:

Step-by-step explanation:
Previous concepts
The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete.
The variance of a random variable X represent the spread of the possible values of the variable. The variance of X is written as Var(X).
Solution to the problem
For this case we have the following distribution given:
X 3 4 5 6
P(X) 0.07 0.4 0.25 0.28
We can calculate the mean with the following formula:

In order to find the variance we need to calculate first the second moment given by:

And the variance is given by:
![Var(X) = E(X^2) +[E(X)]^2 = 23.36 -[4.74]^2 = 0.8924](https://tex.z-dn.net/?f=%20Var%28X%29%20%3D%20E%28X%5E2%29%20%2B%5BE%28X%29%5D%5E2%20%3D%2023.36%20-%5B4.74%5D%5E2%20%3D%200.8924)
And the deviation would be:
