Answer:
<h2>
x = 16</h2>
Step-by-step explanation:
³/₄(x - 12) = 3 {multiply both sides by ⁴/₃}
x - 12 = 4 {add 12 to both sides}
x = 16
Step-by-step explanation:
the number 4 is false
p-q =-(q-p)
Answer:
a) 0.9961
b) 0.9886
Step-by-step explanation:
We are given the following information:
We treat passenger not showing up as a success.
P(passenger not showing up) = 0.10
Then the number of passengers follows a binomial distribution, where
where n is the total number of observations, x is the number of success, p is the probability of success.
Now, we are given n = 125
a) probability that every passenger who shows up can take the flight
![P(x \geq 5) = 1- P(x = 0) - P(x = 1)-P(x = 2) - P(x = 3) - P(x = 4) \\= 1-\binom{125}{0}(0.10)^0(1-0.10)^{125} -...-\binom{125}{4}(0.10)^4(1-0.10)^{121}\\=0.9961](https://tex.z-dn.net/?f=P%28x%20%5Cgeq%205%29%20%3D%201-%20P%28x%20%3D%200%29%20-%20P%28x%20%3D%201%29-P%28x%20%3D%202%29%20-%20P%28x%20%3D%203%29%20-%20P%28x%20%3D%204%29%20%5C%5C%3D%201-%5Cbinom%7B125%7D%7B0%7D%280.10%29%5E0%281-0.10%29%5E%7B125%7D%20-...-%5Cbinom%7B125%7D%7B4%7D%280.10%29%5E4%281-0.10%29%5E%7B121%7D%5C%5C%3D0.9961)
b) probability that the flight departs with empty seats
![P(x > 5) =P(x\geq 5) - P(x = 5) \\= 0.9961 -\binom{125}{5}(0.10)^5(1-0.10)^{120}\\=0.9961-0.0075\\ = 0.9886](https://tex.z-dn.net/?f=P%28x%20%3E%205%29%20%3DP%28x%5Cgeq%205%29%20-%20P%28x%20%3D%205%29%20%5C%5C%3D%200.9961%20-%5Cbinom%7B125%7D%7B5%7D%280.10%29%5E5%281-0.10%29%5E%7B120%7D%5C%5C%3D0.9961-0.0075%5C%5C%20%3D%200.9886)
One laptop costs 32,750.
He bought 5 laptops.
So, 5 x 32,750 = 163,750.
Let d = cost of one desktop.
163,750 + d = 229,600.
Solve for d to find your answer.
10,000/250=40
40x2=80
The answer is 80 defective trains