Answer:
1: D
2: B
Step-by-step explanation:
Answer:
34
explanation:
First of all, put the numbers in order
30, 31, 31, 32, 33, 35, 35, 35, 36, 36
Then, find the middle number.
In this case, there is an even amount of numbers so, we have to pick the 2 middle numbers which is 33 and 35.
Now all you have to do is add these two numbers together then divide by 2 which will give you 34.
or, in simpler questions like this one, you can just say 34 as you know it is between 33 and 35.
In other questions, it might have and odd amount of numbers, for example:
3, 3, 5, 8, 10
so all you would do here is pick the middle number which would be 5. (it has 2 numbers on each side of it)
Three million twenty nine and two hundred fifty one
When two parallel lines are cut by a transversal, due to the natures of the different relationships among the angles, all of them will be either equal to the measure of the first angle or equal to that angle subtracted from 180. If the transversal is perpendicular to the parallel lines, forms a right angle, then both the angle given and the angle subtracted from 180 will be 90. This means all of the angles will be 90.
Answer: a) 30, b) 0.2138, c) 0.0820
Step-by-step explanation:
Since we have given that
X be the number of calls in 1 hour = 60 minutes
Rate of one call every two minutes.
![\lambda=\dfrac{1}{2}](https://tex.z-dn.net/?f=%5Clambda%3D%5Cdfrac%7B1%7D%7B2%7D)
(a) What is the expected number of 911 calls in one hour?
![\lambda=\dfrac{1}{2}\times 60=30](https://tex.z-dn.net/?f=%5Clambda%3D%5Cdfrac%7B1%7D%7B2%7D%5Ctimes%2060%3D30)
(b) What is the probability of three 911 calls in five minutes? If required, round your answer to four decimal places.
![\lambda=\dfrac{1}{2}\times 5=2.5](https://tex.z-dn.net/?f=%5Clambda%3D%5Cdfrac%7B1%7D%7B2%7D%5Ctimes%205%3D2.5)
Number of calls = 3
So, P(X=3) is given by
![P(X=3)=\dfrac{e^{-\lambda}\lambda^x}{x!}\\\\P(X=3)=\dfrac{e^{-2.5}\times (2.5)^3}{3!}\\\\P(X=3)=0.2138](https://tex.z-dn.net/?f=P%28X%3D3%29%3D%5Cdfrac%7Be%5E%7B-%5Clambda%7D%5Clambda%5Ex%7D%7Bx%21%7D%5C%5C%5C%5CP%28X%3D3%29%3D%5Cdfrac%7Be%5E%7B-2.5%7D%5Ctimes%20%282.5%29%5E3%7D%7B3%21%7D%5C%5C%5C%5CP%28X%3D3%29%3D0.2138)
(c) What is the probability of no 911 calls during a five-minute period? If required, round your answer to four decimal places.
![P(X=0)=\dfrac{e^{-2.5}(2.5)^0}{0!}=0.0820](https://tex.z-dn.net/?f=P%28X%3D0%29%3D%5Cdfrac%7Be%5E%7B-2.5%7D%282.5%29%5E0%7D%7B0%21%7D%3D0.0820)
Hence, a) 30, b) 0.2138, c) 0.0820