Answer:
<h2>x = 117°</h2>Step-by-step explanation:
We know:
The sum of the quadrilateral angles measures 360°.
Therefore we have the equation:
The sum of angles x and D is equal to 360°. Therefore we have the other equation:
From (1) and (2) we have:
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.