Let X be a discrete binomial random variable.
Let p = 0.267 be the probability that a person does not cover his mouth when sneezing.
Let n = 18 be the number of independent tests.
Let x be the number of successes.
So, the probability that the 18 individuals, 8 do not cover their mouth after sneezing will be:
a) P (X = 8) = 18! / (8! * 10!) * ((0.267) ^ 8) * ((1-0.267) ^ (18-8)).
P (X = 8) = 0.0506.
b) The probability that between 18 individuals observed at random less than 6 does not cover their mouth is:
P (X = 5) + P (X = 4) + P (X = 3) + P (X = 2) + P (X = 1) + P (X = 0) = 0.6571.
c) If it was surprising, according to the previous calculation, the probability that less than 6 people out of 18 do not cover their mouths is 66%. Which means it's less likely that more than half of people will not cover their mouths when they sneeze.
Answer:
3.033
Step-by-step explanation:
5.21*7.3=3.003
2 m - polyester fabric: 4, cotton fabric: 14
6 m - polyester fabric: 12, cotton fabric: 42
8 m - polyester fabric: 16, cotton fabric: 56
9 m - polyester fabric: 18, cotton fabric: 63
check:
2 m: 4/14=2/7
6 m: 12/42=2/7
8 m: 16/56=2/7
9 m: 18/63 = 2/7
Answer:
Table C
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or 
Find the value of the constant of proportionality in each table
Table A
For
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For
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This table has different values of k
therefore
the table A does not represent a proportional relationship
Table B
For
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For
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For
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This table has different values of k
therefore
the table B does not represent a proportional relationship
Table C
For
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For
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For
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For
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This table has the same value of k
therefore
the table C represent a proportional relationship
Table D
For
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For
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For
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For
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This table has different values of k
therefore
the table D does not represent a proportional relationship
Answer:
f(x) = g(x-9)
Step-by-step explanation: