Idiot\'s Guides Basic Math and Pre-Algebra

(Marvins-Underground-K-12) #1

322 Appendix A



  1. The number of combinations of 5 things
    taken 2 at a time = 10.

  2. The number of different committees of 5
    people that can be chosen from a group of
    12 people is 792.

  3. If you are going to choose 3 toppings from a
    list of 12 possibilities and the order in which
    you put toppings on does not matter, you
    have 220 sundaes to choose from.

  4. The probability of drawing a heart and then
    a queen is^13
    52


4
52

1
4

4
52

1
52

   .



  1. The probability of drawing a heart and then
    a heart is^13
    52


13
52

1
4

1
4

1
16

   .



  1. The probability of drawing a black card and
    then a red card is^26
    52


26
52

1
2

1
2

1
4

   .



  1. The probability of drawing a king and a
    queen is^4
    52


4
51

16
2652

4
663

×= =.



  1. The probability of drawing two black cards
    is^26
    52


25
51

1
2

25
52

25
104

   .



  1. The probability that the marble chosen is
    red or blue is^4 ^6
    24


10
24

5
12

.



  1. The probability that the chosen marble is
    yellow or blue is^2 ^4
    24


6
24

1
4

.



  1. The probability that the marble is green or
    white is^9 ^3
    24


12
24

1
2

.



  1. The probability that the chosen marble is
    yellow or red is^2 ^6
    24


8
24

1
3

.



  1. The probability that the marble is red or
    orange is^6 ^0
    24


6
24

1
4

.


29.


80
x
cos76 30  ,

x^80 342.7
cos76 30 

  ,


cos76^80
x

 ,


x ^80 330.7
cos76

,


AB = 343 (331) feet


  1. tan32^58 x,


x ^58
tan32

 92.8^


Side YZ is 58 m.
Find the length of XY to the nearest
centimeter. XY } 93

Chapter 18



  1. 2 v 4 = 8

  2. 2 v 5 v 4 = 40

  3. 2 v 5 v 3 v 4 = 120

  4. 2 v 5 v 4 v 4 = 160

  5. 2 v 5 v 4 v 3 v 2 v 4 = 960

  6. 6! = 6 v 5 v 4 v 3 v 2 v 1 = 720.

  7. 7! = 7 v 6 v 5 v 4 v 3 v 2 v 1 = 5,040.

  8. 7! z 6 = 840.

  9. The permutations of 9 things taken 3 at a
    time = 504.

  10. The permutations of 10 things taken 4 at a
    time = 5,040.

  11. The number of combinations of 6 things
    taken 3 at a time = 20.

  12. The number of combinations of 7 things
    taken 4 at a time = 35.

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