Answer: 4.3
7.1 - 1.5 = 5.6
5.6 / 2 = 2.8
1.5 + 2.8 = 4.3 = 7.1 - 2.8
The distance rounded to the nearest tenth is 333.7 kilometers
Answer: 10
Step-by-step explanation:
Since integral from 1 to 4 of f(x) =10
To evaluate integral from 2 to 8 of 2 times f(2x), using substitution method
Let U = 2x, dU = 2dx, dx = dU/2
Evaluate the limit, upper limit gives dU = 2*4 = 8, lower limit gives dU = 2*1 = 2.
Since this limit are the same as the limit for the question,
Therefore, F(4) - F(1) = F(8) - F(2) = 10
Substituting dx=dU/2
Gives,
Integral from 2 to 8 of 2 times f(2x)= (1/2)(2)(F(8)-F(2)) = 10
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The second table shows the frequency of the test times. There are 4 numbers that fall between 50-59, 7 between 60-69, 6, between 70-79 and 3 between 80-89