Which statements can be represented by this equation? Select three options.
2 answers:
Answer:
Options A,C and E.
Step-by-step explanation:
The given equation is
Let n be the unknown number, then
Twice a number minus nine and two-tenths is the same as the number plus four-fifths.
So, option A is correct.
Nine point two decreased by double a number is the same as the number added to four-fifths.
Nine point two less than twice a number is equal to the number added to four-fifths.
So, option C is correct.
Two times the difference of a number and nine and two-tenths is equal to the number plus four-fifths.
Double a number decreased by nine and two-tenths is the same as the sum of four-fifths and the number.
So, option E is correct.
Therefore, the correct options are A,C and E.
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(a)
The sample space is a set whose elements are all the possible outcomes for the experiment. Since we will extract one of the months of the years, the sample space is the set composed by all the 12 months:
(b)
An event is a subset of the sample space. Events are often defined by their properties. In this example, the event E is the subset of the sample space defined as
So, we have
(c)
If all outcomes have equal probability, then the probability of an event is the ratio bewteen its cardinality, and the cardinality of the whole sample space:
In words, since there are three months beginning with J out of 12 months, we have a probability of 3 over 12 to pick a month starting with J, which simplifies to 1 over 4.
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