algebra

1. You have the numbers 1–24 written on slips of paper.If you choose one slip at random, what is the probability that you will not select a number which is divisible by 6?

a) 1/6
b) 5/6
c) 1/3
c) 2/3

2. There are 12 members of student council. Four of them will be elected into positions as officers: president, vice-president, secretary, and treasurer. How many specific ways can the council elect these four officers?

a) 16
b) 11,880
c) 495
d) 48

3. Is the following data set qualitative or quantitative

the number of hours spent to commuting to work by the employees of a company

a) qualitative
b) quantitative

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  3. 👁 631
  1. 1. How many numbers are divisible by 6?
    6, 12, 18 and 24 Right?
    There are 4 chances of getting a number divisible by 6 and 20 chances of getting a number NOT divisible by 6. So, you will have 20/24 which reduces to ???

    2. You can use the counting principle here.
    For president you have 12 choices
    for vp you have 11
    for secretary 10
    for treasurer 9

    You reduce by 1 because you one person is chosen leaving 1 less to choose from in each case. Multiply all of the numbers together and you should get the correct answer.
    You can also look at this as a Permutation where you are choosing 4 out of 12.

    3. Qualitative data would be something you can put into a category like: gender, eye color, hair color, etc.

    Quantitative data is anything that you can measure and has units like miles, hours, seconds, age, height, weight, etc.

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  2. 1. 5/6
    2. 12 x 4 = 48 or 12 x 11 x 10 x 9 = 11,880 ?
    3. quantitative

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  3. 6, 12, 18, 24 is 4
    4/24 = 1/6
    1 - 1/6 = 5/6

    permutations of 12 things 4 at a time is
    n!/(n-r)! = 12!/8!
    = 12 * 11 * 10 * 9
    = 11,880

    if it is a number I would call it quatitative.

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