Answer:
The y-intercept is 4.4
Step-by-step explanation:
See picture below.
The answer to the question
the second picture
Answer:
We have a binomial probability distribution, in which:
P(X = 0) = 0.064
P(X = 1) = 0.288
P(X = 2) = 0.432
P(X = 3) = 0.216
Step-by-step explanation:
For each flight, there are only two possible outcomes. Either it is for domestic travel, or it is for international travel. Flights are independent of each other. So we use the binomial probability distribution 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.
Let x be the number of requests among the next three requests received that are for domestic flights.
3 flights, and 60% are for domestic travel. This means that
. The probabilities are given by:
![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 = 0) = C_{3,0}.(0.6)^{0}.(0.4)^{3} = 0.064](https://tex.z-dn.net/?f=P%28X%20%3D%200%29%20%3D%20C_%7B3%2C0%7D.%280.6%29%5E%7B0%7D.%280.4%29%5E%7B3%7D%20%3D%200.064)
![P(X = 1) = C_{3,1}.(0.6)^{1}.(0.4)^{2} = 0.288](https://tex.z-dn.net/?f=P%28X%20%3D%201%29%20%3D%20C_%7B3%2C1%7D.%280.6%29%5E%7B1%7D.%280.4%29%5E%7B2%7D%20%3D%200.288)
![P(X = 2) = C_{3,2}.(0.6)^{2}.(0.4)^{1} = 0.432](https://tex.z-dn.net/?f=P%28X%20%3D%202%29%20%3D%20C_%7B3%2C2%7D.%280.6%29%5E%7B2%7D.%280.4%29%5E%7B1%7D%20%3D%200.432)
![P(X = 3) = C_{3,3}.(0.6)^{3}.(0.4)^{0} = 0.216](https://tex.z-dn.net/?f=P%28X%20%3D%203%29%20%3D%20C_%7B3%2C3%7D.%280.6%29%5E%7B3%7D.%280.4%29%5E%7B0%7D%20%3D%200.216)
Answer:
Q'(-2 , 5)
Step-by-step explanation:
Note that:
1) When you are reflecting over the x-axis, you are changing the sign for the y.
2) When you are reflecting over the y-axis, you are changing the sign for the x.
In this case, you are reflecting over the y-axis. Change the sign of the x:
Q(2 , 5) ⇒ Q'(-2 , 5)
Q'(-2 , 5) is your answer.
~
Answer:
5
Step-by-step explanation:
The Pythagorean theorem is: a^2 + b^2 = c^2
The hypotenuse (the diagonal line) is c, while the base and side are a and b.
4^2 + 3^2 = c^2
16 + 9 = c^2
25 = c^2
the square root of 25 is 5, so c would be 5