Answer:
35.4 years
Step-by-step explanation:
The annual consumption (in billions of units) is described by the exponential function ...
f(t) = 45.5·1.026^t
The accumulated consumption is described by the integral ...
We want to find t such that the value of this integral is 2625, the estimated oil reserves.
2625 = 45.5/ln(1.026)·(1.026^t -1)
2625·ln(1.026)/45.5 +1 = 1.026^t ≈ 1.480832 +1 = 1.026^t
Taking natural logs, we have ...
ln(2.480832) = t·ln(1.026)
t ≈ ln(2.480832)/ln(1.026) ≈ 35.398
After about 35.4 years, the oil reserves will run out.
It’d be 2
250 ÷20= 12.5
25 ÷2=12.5
Answer:
67
Step-by-step explanation:
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The two numbers in between which the lower quartile value given by the attached boxplot falls are 1.5 and 2.5 respectively.
- The lower quartile means the 25th percentile or lower
of the distribution
- From a boxplot, the lower quartile is the point marked by the starting point of the box.
- The Lower quartile of the distribution represented by the boxplot is 2
- The values which bounds the lower quartile value to the left and right are 1.5 and 2.5 respectively.
Therefore, two numbers in between which the lower quartile value falls are 1.5 and 2.5
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