To answer this question, use permutation since the order of the letter matters. There are 7 letters and only 4 are to be used for the code. This is a permutation of 7 taken 4 (7P4) which is equal to 840. Thus, the sample space is 840.
For the next questions, there are 3 vowels for as the first letter, only 6 letters are available for the second, 5 on the next, and 4 on the last. Multiplying these numbers give 360. To solve for probability, divide this number with the sample space. Thus, the answer is 3/7.
Answer:
rational
Step-by-step explanation:
rational numbers are any number that can be expressed as a fraction
Answer:
43/12
Step-by-step explanation:
First we must find a common denominator for all 3 fractions, 1/2 cup, 2 1/3 cup, and 3/4 cup all share 12 as a common denominator.
However, let's convert 2 1/3 cup into an improper fraction: there are 2 (3/3 cups) here multiply (3/3) and (2/1) you get 6/3. Finally, add the remaining 1/3 to 6/3 and you get 7/3.
Now, to get all these fractions to have the same common denominator.
(1/2) ×(6/6)=(6/12)
(7/3)×(4/4)=(28/12)
(3/4)×(3/3)=(9/12)
Add them all together and your answer is: (43/12)
