1 answer:
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Given:
radius of cone = r
height of cone = h
radius of cylinder = r
height of cylinder = h
slant height of cone = l
Solution
The lateral area (A) of a cone can be found using the formula:
where r is the radius and l is the slant height
The lateral area (A) of a cylinder can be found using the formula:
The ratio of the lateral area of the cone to the lateral area of the cylinder is:
Canceling out, we have:
Hence the Answer is option B
Answer:
Binomial
There is a 34.87% probability that you will encounter neither of the defective copies among the 10 you examine.
Step-by-step explanation:
For each copy of the document, there are only two possible outcomes. Either it is defective, or it is not. This means that we can solve this problem using the binomial probability distribution.
Binomial probability distribution:
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinatios of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this problem
Of the 20 copies, 2 are defective, so .
What is the probability that you will encounter neither of the defective copies among the 10 you examine?
This is P(X = 0) when .
There is a 34.87% probability that you will encounter neither of the defective copies among the 10 you examine.