Answer:
Step-by-step explanation:
Given
--- Volume
--- Diameter
Required
Find the volume
First, we calculate the radius, r
Substitute 23 for D
Substitute 11.5 for r in
A cat chases a mouse. The cat is originally 4 feet behind the mouse, which is running in the same direction along the same route
1 answer:
The cat will take 0.8 seconds to catch up with the mouse
Step-by-step explanation:
Given:
The distance between the cat and the mouse = 4 feet
cat's speed = 17 feet per second.
mouse's speed = 12 feet per second
To Find:
how long will it take the cat to catch up with the mouse = ?
Solution:
We know that
distance = speed x time
Rewriting the equation for time we get
time =
now we know that distance is 4 feet
and the speed is 17 -12 = 5 feet per second
Thus the time is
=
= 0.8 seconds
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Answer:
0.1150 = 11.50% probability that the sample does not contain any fibers of polymer B
Step-by-step explanation:
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question:
Fibers are chosen without replacement, which means that we use the hypergeometric distribution.
92 fibers means that
Sample of 10 means that
No polymeter B which means that
17 fibers of polymeter B which means that
a. What is the probability that the sample does not contain any fibers of polymer B
This is P(X = 0).
0.1150 = 11.50% probability that the sample does not contain any fibers of polymer B