What is the volume that can fit exactly 128 cubes with 1/2 inch sides?
1 answer:
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Answer:
0.5372
Step-by-step explanation:
Given that the number of births that occur in a hospital can be assumed to have a Poisson distribution with parameter = the average birth rate of 1.8 births per hour.
Let X be the no of births in the hospital per hour
X is Poisson
with mean = 1.8
the probability of observing at least two births in a given hour at the hospital
=
the probability of observing at least two births in a given hour at the hospital = 0.5372
Thulani goes to both the library and the market for 5 more times during the year.
Step-by-step explanation:
Thulani goes to the library every 7 days. He goes to the market every 4 days.
We have to calculate the Least Common Multiple (LCM) to analyze the next common day on which he will go to both places.
The factors of 7 are: 1 x 7
The factors of 4 are: 2 x 2
Therefore, the LCM would be = 1 x 7 x 2 x 2
LCM = 28
LCM indicates that Thulani will go to both places on every 28th day.
To calculate the number of times (n) he will go to both places on same day. We can use the formula mentioned below:'
Here frequency represents the LCM = 28.
The number of days are:
August: 30 (we are excluding 1st August)
September: 30
October: 31
November: 30
December: 31
Total = 152
By putting the values in formula, we get
n = 5.42
As, the number of times can only be a whole number. Therefore, Thulani goes to both the library and the market for 5 more times during the year.
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Keywords: LCM, same day
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