9. How many strings can be formed by ordering the letters SCHOOL using some or all of the letters?
1 answer:
The number of strings that can be formed by ordering the letters SCHOOL using some or all of the letters is 1440 strings
<h3>What is Permutation in Mathematics ?</h3>Permutation can be defined as number of ways in which things can arranged.
We were given to find how many strings that can be formed by ordering the letters SCHOOL using some or all of the letters.
First of all, How many distinct letters are in the word SCHOOL ?
The distinct letters are 5 in numbers.
What is the total number of letters in the word SCHOOL ?
The total number of letters is 6.
Then
6! + 5
That is, 6 factorial + 6 permutation 5
( 6 x 5 x 4 x 3 x 2 x 1 ) + 6!/( 6 - 5)!
720 + 720
1440 strings
Therefore, the number of strings that can be formed by ordering the letters SCHOOL using some or all of the letters is 1440 strings
Learn more about Permutation here: brainly.com/question/4658834
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Answer:
Student who took ACT appears to be more qualified.
Step-by-step explanation:
We are given that Student A took the ACT and got a score of 24, while student B got an SAT score of 1100.
The year they took their tests, the ACT had an average score of 20.8 and a standard deviation of 5.6, while the SAT had an average score of 1060 and standard deviation of 195.
We have to check which student appears more qualified.
<u><em>We will do this by finding the z scores for both the students and the student with higher z score is considered to be more qualified.</em></u>
<u><em /></u>
The z score probability distribution for a normal distribution is given by;
Z = ~ N(0,1)
where, = average score
= standard deviation
Let X = score of the student
- <u>Student z score who took the ACT is given by;</u>
For this student : X = score of ACT = 24
= average score for ACT = 20.8
= standard deviation for ACT = 5.6
So, z score =
= = 0.571
Hence, the student who took ACT has a z score of 0.571.
- <u>Student z score who took the SAT is given by;</u>
For this student : X = score of SAT = 1100
= average score for SAT = 1060
= standard deviation for SAT = 195
So, z score =
= = 0.205
Hence, the student who took SAT has a z score of 0.205.
<u><em>Therefore, it is clear that the z score for ACT is higher than that of SAT which means that student who took ACT appears to be more qualified.</em></u>