Use the distributive property to simplify the following problem: 9 (x +9)
2 answers:
You might be interested in
Answer:
The minimum percentage of noise level readings within 8 standard deviations of the mean is 98.44%.
Step-by-step explanation:
When we do not know the shape of the distribution, we use the Chebyshev's Theorem to find the minimum percentage of a measure within k standard deviations of the mean.
This percentage is:
Within 8 standard deviations of the mean
This means that . So
The minimum percentage of noise level readings within 8 standard deviations of the mean is 98.44%.
Answer:
The rate of change of the volume of the cylinder at that instant =
Step-by-step explanation:
Given:
Rate of increase of base of radius of base of cylinder = 7 mm/hr
Height of cylinder = 1.5 mm
Radius at a certain instant = 12 mm
To find rate of change of volume of cylinder at that instant.
Solution:
Let represent radius of base of cylinder at any instant.
Rate of increase of base of radius of base of cylinder can be given as:
Volume of cylinder is given by:
Finding derivative of the Volume with respect to time.
Plugging in the values given:
Using
(Answer)
Thus rate of change of the volume of the cylinder at that instant =