1 meter :12 cm
1 cubic meter = 1 x 1 x 1 : 12 x 12 x 12 = 1,728 cubic cm.
Answer:
Check pdf
Step-by-step explanation:
Answer:
Both A and B
Step-by-step explanation:
For functions you are just trying to make sure all the x's are different.
So let's look at A: The x's there are all different so it is a function
Now let's look at B: The x's there are all different so it is a function.
Both A and B
Answer:
0.0071 = 0.71% probability that the San Jose Sharks win 9 games in the upcoming month.
Step-by-step explanation:
For each game, there are only two possible outcomes. Either the Sharks win, or they do not. The probability of the Sharks winning a game is independent of any other game. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
![P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20C_%7Bn%2Cx%7D.p%5E%7Bx%7D.%281-p%29%5E%7Bn-x%7D)
In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.
![C_{n,x} = \frac{n!}{x!(n-x)!}](https://tex.z-dn.net/?f=C_%7Bn%2Cx%7D%20%3D%20%5Cfrac%7Bn%21%7D%7Bx%21%28n-x%29%21%7D)
And p is the probability of X happening.
The probability that the San Jose Sharks will win any given game is 0.3694.
This means that ![p = 0.3694](https://tex.z-dn.net/?f=p%20%3D%200.3694)
An upcoming monthly schedule contains 12 games.
This means that ![n = 12](https://tex.z-dn.net/?f=n%20%3D%2012)
What is the probability that the San Jose Sharks win 9 games in the upcoming month?
![P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20C_%7Bn%2Cx%7D.p%5E%7Bx%7D.%281-p%29%5E%7Bn-x%7D)
![P(X = 9) = C_{12,9}.(0.3694)^{9}.(0.6306)^{3} = 0.0071](https://tex.z-dn.net/?f=P%28X%20%3D%209%29%20%3D%20C_%7B12%2C9%7D.%280.3694%29%5E%7B9%7D.%280.6306%29%5E%7B3%7D%20%3D%200.0071)
0.0071 = 0.71% probability that the San Jose Sharks win 9 games in the upcoming month.
example: Two polygons are congruent if they are the same size and shape - that is, if their corresponding angles and sides are equal.