The sum of two numbers is -5. Which graph represents this situation?
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The 4 subintervals are given: [2, 4], [4, 7], [7, 9], and [9, 10].
Each subinterval has length: 4 - 2 = 2, 7 - 4 = 3, 9 - 7 = 2, and 10 - 9 = 1.
Over each subinterval, we take the value of the function at the right endpoint: 3, 8, 15, and 18.
Then the integral is approximately
so 78.0 is the correct answer.
First, we need to standardize the value 1440 and 1465 to be able to work out the z-score
The z-scores are shown in the diagram below
To work out the probability of
we can first read on the table, the probability when 
, then we subtract this value from 1, as we are interested in the area to the right of 1.77.
Then the area between and is 
which is also the probability of lifespan between 1440 and 1465
The z-scores are shown in the diagram below
To work out the probability of
Then the area between