Is the difference of 18 and 3 a rational number? Explain
2 answers:
Answer:
Yes, it is a rational number.
Step-by-step explanation:
A rational number is <u>a number that can be expressed in fractional form</u>. A rational number consists of:
- Integers - they can be expressed in form of
where a is an integer.
- Fractions - obviously that they are in fractional form.
- Repeating Decimals - they can be expressed in form of fractions as well.
Since the difference of 18 and 3 is 15 and the number 15 can be expressed as 15/1. Therefore, 15 or the difference of 18 and 3 is a rational number.
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Answer:
There are 685464 ways of selecting the 5-card hand
Step-by-step explanation:
Since the hand has 5 cards and there should be at least 1 card for each suit, then there should be 3 suits that appear once in the hand, and one suit that apperas twice.
In order to create a possible hand, first we select the suit that will appear twice. There are 4 possibilities for this. For that suit, we select the 2 cards that appear with the respective suit. Since there are 13 cards for each suit, then we have possibilities. Then we pick one card of all remaining 3 suits. We have 13 ways to pick a card in each case.
This gives us a total of 4*78*13³ = 685464 possibilities to select the hand.