Answer:
3/12 and 5/x
12 times 5 is 60 so 3 times 20 shall be 60
3/12 = 5/20
:)
8x - 23 because you answer them until you have it all simplified
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:

Answer:
Part A: Data summary is given in the table
Part B: out of the total 100 students, 15 students do not like either tennis or track
= 0.15
0.15 ×
= 15%
Part C:
Total no. of students that dislike track = 60
Total no. of students that dislike tennis = 40
According to the survey results, more people dislike track.
Hello,
Since there is 1 blue block and 3 yellow blocks that would equal to 4 blocks in total. So the question is asking how many green blocks would be needed to make it 1/2. So you would be needing 4 green blocks to make the probability of randomly selecting a green block from the bag to equal 1/2.
I hope this helped you!