Avani is building a rectangular play area. The length of
1 answer:
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Answer:
Step-by-step explanation:
I used calculus for this, as I'm not sure there's any other way to do it and to do it as easily. This is the volume of a solid found by using the disk method of rotation:
where R(x) is the outer shell of the solid and r(x) is the space inbetween the solid and the axis of rotation. There is no space between the solid and the axis of rotation, so r(x) = 0. R(x) is the height of the solid which is 3. Therefore, f(x) = 3 and that's the function we put into the formula with the lower bound of 3 and the upper bound of 5:
and
and integrating:
and using the First Fundamental Theorem of Calculus:
V = π(9(5) - 9(3)) and
V = π(45 - 27) so
V = 18π units cubed or in decimal format,
V = 56.549 units cubed
Answer:
(a) -- The equation
(b) 31 inches
Step-by-step explanation:
Given
See attachment
Solving (a): The equation of the trend line.
We start by calculating the slope (m)
Where
So, we have:
The equation is then calculated using:
Where:
Open bracket
(b) The height of a 2 year old.
To do this, we substitute 2 for x in
The prediction is 31 inches
Answer: There are 4 average cars in the system.
Step-by-step explanation:
Since we have given that
Arrival rate = λ = 4 cars per hour
Service rate = μ = 5 cars per hour
We need to find the average number of cars in the system.
So, Average number of cars would be
So, it becomes,
Hence, there are 4 average cars in the system.