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Answer:
1. Some numbers, such as , have a decimal expansion that terminates.
2. All real numbers have a decimal expansion.
5. Some numbers, such as , have a decimal expansion that repeats but does not terminate.
Step-by-step explanation:
According to the options, we have,
1. Some numbers, such as , have a decimal expansion that terminates.
It is correct as the decimal expansion of is 0.1, which terminates.
2. All real numbers have a decimal expansion.
This is also correct as both rational and irrational numbers can be written in decimal form.
3. Some numbers, such as do not have a decimal expansion
This is not correct as i.e. it has a decimal expansion.
4. Only some real numbers have a decimal expansion.
It is not correct as 2 is correct.
5. Some numbers, such as , have a decimal expansion that repeats but does not terminate.
It is correct as , which is non-terminating decimal expansion.
So, the correct options are,
1. Some numbers, such as , have a decimal expansion that terminates.
2. All real numbers have a decimal expansion.
5. Some numbers, such as , have a decimal expansion that repeats but does not terminate.
Answer: 1406
Step-by-step explanation:
Given Table :
Admissions Probability
1,040 0.3
1,320 0.2
1,660 0.5
Now, the expected number of admissions for the fall semester is given by :-
Hence, the expected number of admissions for the fall semester = 1406