Solve for b. b+2/3 = 1 1/4 What is b?
2 answers:
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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.
Since we are trying to find the number of sequences can be made <em>without repetition</em>, we are going to use a combination.
The formula for combinations is:
is the total number of elements in the set
is the number of those elements you are desiring
Since there are 10 total digits, in this scenario. Since we are choosing 6 digits of the 10 for our sequence,
in this scenario. Thus, we are trying to find
. This can be found as shown:
There are 210 total combinations.