Answer: 60 divided by 4 = 15
Step-by-step explanation:
I think A.
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Answer:
The probability distribution of the number of customers that enter the store on a given day is:
![P(x=k)=\frac{57^ke^{-57}}{k!}](https://tex.z-dn.net/?f=P%28x%3Dk%29%3D%5Cfrac%7B57%5Eke%5E%7B-57%7D%7D%7Bk%21%7D)
Step-by-step explanation:
To calculate a parameter for the given day, we have to calculate what is the average arrival rate for the day.
This can be done with the data given:
1) From 10 to 12, 8 arrival/hour: 16 expected arrivals in this period
2) From 12 to 2, 8 to 12 arrival/hour (average: 10 arrivals): 20 expected arrivals in this period.
3) From 2 to 5, from 10 to 4 arrival/hour (average: 7 arrivals): 21 expected arrivals in this period.
The total expected arrivals in a day are: 16+20+21=57 arrivals/day.
Then, the probability distribution of the number of customers that enter the store on a given day is:
![P(x=k)=\frac{57^ke^{-57}}{k!}](https://tex.z-dn.net/?f=P%28x%3Dk%29%3D%5Cfrac%7B57%5Eke%5E%7B-57%7D%7D%7Bk%21%7D)
Answer:
45cm
Step-by-step explanation:
If volume of a sphere = 4/3πr³
Volume of hemisphere = 1/2 of volume of a sphere
Volume of hemisphere = 1/2{4/3πr³}
Volume of hemisphere = 2/3πr³
Given the volume of hemisphere = 60,750πcm³
60,750π = 2/3πr³
60,750 = 2r³/3
2r³ = 60,750×3
r³ = 91,125
r = ∛91,125
r = 45cm
Radius of the globe is 45cm
Answer:
64.3 lumens
Step-by-step explanation:
Data provided in the question:
Length of the testing chamber = 35 cm
Light at one end = 10 lumens
Light at other end = 200 lumens
now,
since the variation is linear,
therefore, the gradient of the variation
= ![\frac{200-10}{35}](https://tex.z-dn.net/?f=%5Cfrac%7B200-10%7D%7B35%7D)
= 5.43
also,
the darkest end is the end with 10 lumens
therefore,
The lumens at 10 cm from the darkest end
= 10 + 5.43(10)
= 10 + 54.3
= 64.3 lumens