Answer:
35/70
Step-by-step explanation:
7x5=35
5/14=70
35/70
You can symplify to 1/2
Answer:
x = 2
Step-by-step explanation:
Given
8(4 - x) = 7x + 2 ← distribute parenthesis on left side
32 - 8x = 7x + 2 ( subtract 7x from both sides )
32 - 15x = 2 ( subtract 32 from both sides )
- 15x = - 30 ( divide both sides by - 15 )
x = 2
Answer/Step-by-step explanation:
Liters are used in the metric system to define amounts of volume.
1 quart = 0.946 metric liters
1 gallon = 3.785 metric liters
You mean "Simplify 16²÷4³?"
16²=16*16, 16= 4*4
4³=4*4*4
so:
Simplify: <u>16²</u> = <u>16*16</u> = <u>4*4*4*4</u> = <u>4</u> = 4
4³ = 4*4*4 = 4*4*4 1
OR
256 ÷ 64 = 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:
