Answer:
78.75
Step-by-step explanation:
450 is increased by 75%
450 + 450*75%
Change to decimal form
450 +450*.75
450+337.5
787.5
Now decrease by 90%
787.5-787.5*90%
Change to decimal form
787.5-787.5*.9
787.5-708.75
78.75
Answer:
2x-64<108
One solution was found :
x < 86
Rearrange:
Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
2*x-64-(108)<0
Step by step solution :
Step 1 :
Pulling out like terms :
1.1 Pull out like factors :
2x - 172 = 2 • (x - 86)
Equation at the end of step 1 :
Step 2 :
2.1 Divide both sides by 2
Solve Basic Inequality :
2.2 Add 86 to both sides
x < 86
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:

So the kindergartner could show animals pictures. XD JK
Answer:
4
Step-by-step explanation:
hopes this helps i have a F in math so not sure