Answer:
The probablility that there are 8 occurrences in ten minutes is 0.00518 or 0.5%.
Step-by-step explanation:
The distribution that represents the ocurrence of this events is the Poisson distribution.
The probability of having k events in a ten-minute-period can be expressed as:
![P(x=k)=\frac{ \lambda^ke^{-k}}{k!}](https://tex.z-dn.net/?f=P%28x%3Dk%29%3D%5Cfrac%7B%20%5Clambda%5Eke%5E%7B-k%7D%7D%7Bk%21%7D)
being λ the mean number of occurrences in ten minutes.
The probablility that there are 8 occurrences in ten minutes can be calculated as:
![P(x=k)=\frac{ \lambda^ke^{-k}}{k!}\\\\P(x=8)=\frac{5.3^8e^{-8}}{8!}=\frac{(622596*0.000335463)}{40320}=0.00518](https://tex.z-dn.net/?f=P%28x%3Dk%29%3D%5Cfrac%7B%20%5Clambda%5Eke%5E%7B-k%7D%7D%7Bk%21%7D%5C%5C%5C%5CP%28x%3D8%29%3D%5Cfrac%7B5.3%5E8e%5E%7B-8%7D%7D%7B8%21%7D%3D%5Cfrac%7B%28622596%2A0.000335463%29%7D%7B40320%7D%3D0.00518)
The probablility that there are 8 occurrences in ten minutes is 0.00518 or 0.5%.
Answer:
Yea its correct! good job yea there are not any mistakes
Step-by-step explanation:
Answer:
Read Exp:
Step-by-step explanation:
Area = 3.14 x r^2
I've Included a picture to tell you how to get the diameter as well as the circumference.
Answer:
![radius = 6.2](https://tex.z-dn.net/?f=radius%20%20%3D%206.2)
Step-by-step explanation:
so you already have the formula, which is
![\sqrt[3]{ \frac{3v}{4\pi} }](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B%20%5Cfrac%7B3v%7D%7B4%5Cpi%7D%20%7D%20)
the v represents Volume.
and 3v would be 3×volume.
![\sqrt[3]{ \frac{3 \times 1000}{4 \times \pi} }](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B%20%5Cfrac%7B3%20%5Ctimes%201000%7D%7B4%20%5Ctimes%20%5Cpi%7D%20%7D%20)
![\sqrt[3]{ \frac{3000}{12.56637061} }](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B%20%5Cfrac%7B3000%7D%7B12.56637061%7D%20%7D%20)
![\sqrt[3]{238.7324147 }](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B238.7324147%20%7D%20)
![= 6.20350491](https://tex.z-dn.net/?f=%20%3D%206.20350491)
to the nearest tenth place.
![= 6.2](https://tex.z-dn.net/?f=%20%3D%206.2)
4/5 -3/7=
28/35 -15/35
=13/35