Answer:
C 315
Step-by-step explanation:
(12 + 30) * 15/2 = 315
Answer:
85
Step-by-step explanation:
because eight plus five is 85
Plug them in... -4=x -5=y
-3x-4+-6=6 (check)
-3x-4=12-6=6 (ordered pair works with this equation)
-2x-4+-6=-8 (check)
-2x-4=8-6=2 (ordered pair does not work with this equation)
Therefore the ordered pair IS NOT the solution.
Hope this helps :)
Answer:
4/6 6/9 8/12 10/15 and so on, just multiply both the numerator and denominator by the same number and get your answer.
Step-by-step explanation:
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.