If there is an exception or counterexample whatsoever, then it is sometimes if there is no counterexample, then it is always true.
Answer:
The distance is 280 miles
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Step-by-step explanation:
Given
When going to the mountain:
Let the speed be x.


When going home:


Required
Determine the distance of the mountains
Distance is calculated as:

When going to the mountains, the distance is:

When going home, the distance is:

It should be noted that, the distance is the same.
So, we have:

Open bracket


Collect Like Terms


Divide both sides by 3


Substitute 35 for x in



<em>The distance is 280 miles</em>
Answer:
0.614125
Step-by-step explanation:
Given that a manufacturing process with a quality inspection station has on an average 15% of parts are defective.
As soon as one defective part is found, the process is stopped.
We find that number of defectives would be binomial because each part randomly selected has a constant probability of 0.15 being defective
Probability that at least 11 total parts will be inspected before the process is stopped/8 parts have been inspected without finding a defective part
=
= Probability of 9th, 10th, 11th should not be defective
= 