Answer:
1/6
Step-by-step explanation:
We know that 1/2 are apples and 1/3 are bananas
we also know that
apples+bananas+oranges=1
Which means that
1/2+1/3+oranges=1
Add 1/2 + 1/3 by getting the denominators equal
3/6+2/6=5/6
Which means that 5/6+oranges=1
1-5/6=1/6
1/6
write everything below this
1/2+1/3+oranges=1
1/2+1/3=5/6
5/6+oranges=1
oranges=1-5/6
oranges=1/6
Answer:
The factor pairs of the number 48 are: 1 x 48, 2 x 24, 3 x 16, 4 x 12, and 6 x 8. When you multiply each of these factor pairs together, you get 48....
Step-by-step explanation:
Answer:
Confused on what your looking for the answer in written form or standard but the answer is : 130.67
Step-by-step explanation:
Answer:
a) 0.05
b) 0.9826
c) 0.000039308
Step-by-step explanation:
a) ![P_X(0) = \frac{e^{-3}3^0}{0!} = e^{-3} = 0.05](https://tex.z-dn.net/?f=%20P_X%280%29%20%3D%20%5Cfrac%7Be%5E%7B-3%7D3%5E0%7D%7B0%21%7D%20%3D%20e%5E%7B-3%7D%20%3D%20%200.05)
b) For two minutes, the mean is doubled, hence it is 6. In order to calculate the probability of al least two calls arriving, we calculate first the probability of the complementary event: At most 1 call will arrive. For that probability, we need to sum the probabilities of 0 and 1.
![P_X(0) = e^{-6}](https://tex.z-dn.net/?f=P_X%280%29%20%3D%20e%5E%7B-6%7D%20)
![P_X(1) = \frac{e^{-6}*6^1}{1!} = 6*e^{-6}](https://tex.z-dn.net/?f=P_X%281%29%20%3D%20%5Cfrac%7Be%5E%7B-6%7D%2A6%5E1%7D%7B1%21%7D%20%3D%206%2Ae%5E%7B-6%7D)
Hence,
![P(X \geq 2) = 1-P(X < 2) = 1- 7*e^{-6} = 0.9826](https://tex.z-dn.net/?f=%20P%28X%20%5Cgeq%202%29%20%3D%201-P%28X%20%3C%202%29%20%3D%201-%207%2Ae%5E%7B-6%7D%20%3D%200.9826)
c) For five minutes the mean is 15. We need to sum the probabilities of 0, 1 and 2.
![P_X(0) = e^{-15}](https://tex.z-dn.net/?f=%20P_X%280%29%20%3D%20e%5E%7B-15%7D)
![P_X(2) = \frac{e^{-15}*15^2}{2!} = 112.5*e^{-15}](https://tex.z-dn.net/?f=P_X%282%29%20%3D%20%5Cfrac%7Be%5E%7B-15%7D%2A15%5E2%7D%7B2%21%7D%20%3D%20112.5%2Ae%5E%7B-15%7D%20)
As a result,
![P(X \leq 2) = e^{-15}(1+15+112.5) = 0.000039308](https://tex.z-dn.net/?f=%20P%28X%20%5Cleq%202%29%20%3D%20e%5E%7B-15%7D%281%2B15%2B112.5%29%20%3D%200.000039308%20)
Practically 0
Answer:
B. 2√3+4
Step-by-step explanation:
3√3+4−√3
=2√3+4 (Decimal: 7.464102)