Answer: c. (2,-1)
Explanation: starting from the origin (0,0), you can see that point G is two places to the right and one down. This indicates that it is (2,-1)
Answer:
380
Step-by-step explanation:
285 / x = 75 / 100
Cross multiply 28500 = 75x
Divide by 75 380
Answer: 6.25 yards
Step-by-step explanation:
75 inches = 4 bows
To get 12, you have to multiply 4 by 3. Therefore, you also have to multiply 75 by 3.
75*3 is 225.
225 inches = 12 bows
225 inches is 6.25 yards. Hope this helps :)
Answer:
a) The probability that the airline will lose no bags next monday is 0.1108
b) The probability that the airline will lose 0,1, or 2 bags next Monday is 0.6227
c) I would recommend taking a Poisson model with mean 4.4 instead of a Poisson model with mean 2.2
Step-by-step explanation:
The probability mass function of X, for which we denote the amount of bags lost next monday is given by this formula
![P(X=k) = \frac{e^{-2.2} * {2.2}^k }{k!}](https://tex.z-dn.net/?f=%20P%28X%3Dk%29%20%3D%20%5Cfrac%7Be%5E%7B-2.2%7D%20%2A%20%7B2.2%7D%5Ek%20%7D%7Bk%21%7D%20)
a)
![P(X=0) = \frac{e^{-2.2} * {2.2}^0 }{0!} = 0.1108](https://tex.z-dn.net/?f=%20%20P%28X%3D0%29%20%3D%20%5Cfrac%7Be%5E%7B-2.2%7D%20%2A%20%7B2.2%7D%5E0%20%7D%7B0%21%7D%20%3D%200.1108%20)
The probability that the airline will lose no bags next monday is 0.1108.
b) Note that
. And
![P(X=0)+P(X=1)+P(X=2) = e^{-2.2} * (1 + 2.2 + 2.2^2/2) = 0.6227](https://tex.z-dn.net/?f=P%28X%3D0%29%2BP%28X%3D1%29%2BP%28X%3D2%29%20%3D%20e%5E%7B-2.2%7D%20%2A%20%281%20%2B%202.2%20%2B%202.2%5E2%2F2%29%20%3D%200.6227)
Therefore, the probability that the airline will lose 0,1, or 2 bags next Monday is 0.6227.
c) If the double of flights are taken, then you at least should expect to loose a similar proportion in bags, because you will have more chances for a bag to be lost. WIth this in mind, we can correctly think that the average amount of bags that will be lost each day will double. Thus, i would double the mean of the Poisson model, in other words, i would take a Poisson model with mean 4.4, instead of 2.2.
Let's use our trigonometric skills to solve for this one: