Answer:
The probability is 0.0144
Step-by-step explanation:
The probability that x people show up follows a binomial distribution, so it is equal to:
Where n is the number of booked people and p is the probability that a person shows up. Then, the probability that x people show up is:
So, the probability that the number of people who show up will exceed the capacity of the plane is:
P(x>73) = P(74) + P(75)
Where P(74) and P(75) are calculated as:
Finally, P(x>73) is:
P(x>73) = 0.0125 + 0.0019 = 0.0144
Answer:
37 units
Step-by-step explanation:
Using the distance formula above,
distance between (15, -17) and (-20, -5)
![= \sqrt{[15 - ( - 20)]^{2} + [ - 17 - ( - 5)] {}^{2} } \\ = \sqrt{(15 + 20)^{2} + ( - 17 + 5)^{2} } \\ = \sqrt{35 ^{2} + ( - 12) {}^{2} } \\ = \sqrt{1225 + 144} \\ = \sqrt{1369} \\ = 37 \: units](https://tex.z-dn.net/?f=%20%3D%20%20%5Csqrt%7B%5B15%20-%20%28%20-%2020%29%5D%5E%7B2%7D%20%20%2B%20%5B%20-%2017%20-%20%28%20-%205%29%5D%20%7B%7D%5E%7B2%7D%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B%2815%20%2B%2020%29%5E%7B2%7D%20%2B%20%28%20-%2017%20%2B%205%29%5E%7B2%7D%20%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B35%20%5E%7B2%7D%20%2B%20%28%20-%2012%29%20%7B%7D%5E%7B2%7D%20%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B1225%20%2B%20144%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B1369%7D%20%20%5C%5C%20%20%3D%2037%20%5C%3A%20units)
Plug in 0 for z
so it would change to -2<6
Answer:
A, (4,-3), (1, -1), (7,-6)
Step-by-step explanation:
f(x, y) = (y, -x) there is a 90° clockwise or 270° counterclockwise rotation
