The linear equation for the remaining Federal Helium Reserves, r(t) = 20 -1.9t
There is 20 billion cubic feet of Helium in 2010. Helium is depleted by about 1.9 billion cubic feet each year.
Let 'r' denotes the remaining Federal Helium Reserves in billions of cubic feet.
Let 't' denotes the number of years since 2010.
We have to find a linear equation to represent the depletion of Helium through years since 2010. A linear equation will have two variables, one dependent and one independent variable. Here, let 'r' be the dependent variable and 't' be the independent variable.
Then the amount of Helium depleted in 't' years = 1.9t
So, the remaining Helium in the Federal Helium Reserve since 2010 = 20 - 1.9t.
Thus, r(t) = 20 - 1.9t
This is a linear equation because it depends on only one variable, 't'.
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Answer:
5 minutes
Step-by-step explanation:
If the mean arrival rate is 0.2 students per minute, the expected time interval between student arrivals, in minutes, is determined by the inverse of the arrival rate:
The interval between student arrivals is, on average, 5 minutes.
It is B, about 15.
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The probability that a 4 shows up is 0.20 and the proportion of 3's rolled is 0.467
<h3>The probability that a 4 shows up</h3>
From the list of numbers, we have:
- Sides = 5 i.e. numbers 1 to 5
- n(4) = 1 i.e. sides labelled 4
The probability that a 4 shows up is then calculated as:
P = n(4)/Sides
This gives
P = 1/5
Evaluate
P = 0.2
<h3>The proportion of 3's rolled</h3>
In the list of numbers, we have:
- Total = 15
- Number of 3's = 7
The proportion of 3's rolled is then calculated as:
P = Number of 3's/Total
This gives
P = 7/15
Evaluate
P = 0.467
Hence, the proportion of 3's rolled is 0.467
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12/100 = x / 90000, x = 12*90000/100 = 10800 mathematics book
