Determine the area. Can some guide me how to solve this?
1 answer:
Split it up into compound shapes, calculate the areas individually and then add and subtract the relevant quantities.
For instance, the shape in part a can be split up into a quarter circle, a trapezium and a half circle. I have included a diagram that may be of assistance in understanding what I mean but I leave the calculations to you. (They're quite easy when you split the shape up anyway)
For instance, the shape in part a can be split up into a quarter circle, a trapezium and a half circle. I have included a diagram that may be of assistance in understanding what I mean but I leave the calculations to you. (They're quite easy when you split the shape up anyway)
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Answer:
0.3968 = 39.68% probability this shipment passes inspection.
Step-by-step explanation:
The parts are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes is given by the following formula:
In which:
x is the number of successes.
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:
50 parts means that
4 defective means that
10 are chosen, which means that
What is the probability this shipment passes inspection?
Probability that none is defective, so:
0.3968 = 39.68% probability this shipment passes inspection.