The first group was responsible for making 160 suits while the second group was responsible for making 25% fewer suits in the sa
1 answer:
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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.
Answer:
The volume of the medium box is 8 times the volume of the small box
The volume of the large box is 3.375 times the volume of the medium box
The volume of the large box is 27 times the volume of the small box
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
so
In this problem
1) The scale factor of the small box to the medium box is equal to
The scale factor elevated to the cube is equal to
therefore
The volume of the medium box is 8 times the volume of the small box
2) The scale factor of the medium box to the large box is equal to
The scale factor elevated to the cube is equal to
therefore
The volume of the large box is 3.375 times the volume of the medium box
3) The scale factor of the small box to the large box is equal to
The scale factor elevated to the cube is equal to
therefore
The volume of the large box is 27 times the volume of the small box