We're looking for the two values being subtracted here. One of these values is easy to find:
<span>g(1) = ∫f(t)dt = 0</span><span>
since taking the integral over an interval of length 0 is 0.
The other value we find by taking a Left Riemann Sum, which means that we divide the interval [1,15] into the intervals listed above and find the area of rectangles over those regions:
</span><span>Each integral breaks down like so:
(3-1)*f(1)=4
(6-3)*f(3)=9
(10-6)*f(6)=16
(15-10)*f(10)=10.
So, the sum of all these integrals is 39, which means g(15)=39.
Then, g(15)-g(1)=39-0=39.
</span>
I hope my answer has come to your help. God bless and have a nice day ahead!
The answer would be (x+1) and (x+10) so E
Answer:
Labrador retrievers
Step-by-step explanation:
We know that the mean 
is:
and the standard deviation 
is:
The probability that a randomly selected Labrador retriever weighs less than 65 pounds is:
We calculate the Z-score for X =65
So
Looking in the table for the standard normal distribution we have to:
.
Finally the amount N of Labrador retrievers that weigh less than 65 pounds is:
Labrador retrievers
-7 is less than 16 because -7 goes behind 0 and 6 is a positive number
