Suppose that 7% of the general population has a disease and that the test for the disease is accurate 70% of the time. What is t
2 answers:
Answer: 0.328
Step-by-step explanation:
Given: The percent of general population has a disease = 7%
⇒ The percent of general population has no disease =
Also, The test for the disease is accurate 70% of the time.
Probability that test is accurate = 0.7
⇒ The test for the disease is not accurate 30% of the time.
Probability that test is not accurate = 0.3
Now, the probability of testing positive for the disease is given by :-
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Answer:
The volume of the rock is 13.368 cubic feet.
Step-by-step explanation:
The volume of the rock (), measured in gallons, is equal to the volume of the fish aquarium without the decorative rock (
) minus the volume of the fish aquarium with the decorative rock (
), both measured in gallons.
Since the water flow is at constant rate, the volume of the rock is expressed by the following equation:
(1)
Where:
- Flow rate, measured in gallons per hour.
- Filling time of the fish aquarium without the decorative rock, measured in hours.
- Filling time of the fish aquarium with the decorative rock, measured in hours.
And the flow rate is:
The flow rate is 200 gallons per hour.
If we know that ,
and
, then the volume of the rock is:
The volume of the rock is 13.368 cubic feet.
In order to rationalize the denominator of each expression, we need to multiply the expression by the same radical in the denominator, this way we can remove the radical from the denominator.
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