Prior to the 2008 Republican primary for President, the December 21, 2007 Grand Haven Tribune had an article about results from a poll of 621 likely Michigan Republican voters. Quoting from the article: The survey of 621 likely Republican primary voters shows Romney at 21 percent, Huckabee at 19 percent, Guiliani at 12 percent and John McCain at 10 percent. Ron Paul and Fred Thompson each got 4 percent, while Duncan Hunter and Tom Tancredo each got 1 percent. Required:
a. What is the sample size?
b. Make a frequency table of the results that includes both frequencies (counts) and relative frequencies

a

The sample size is  n  = 621

b

    Voters                 Relative Frequency                Frequency

   Romney                            0.21                                     130      

    Huckabee                        0.19                                     118

    Guiliani                              0.12                                    75

    John McCain                     0.10                                    62

       Ron Paul                         0.04                                    25

 Fred Thompson                    0.04                                     25

  Duncan Hunter                      0.01                                      6

  Tom Tancredo                         0.01                                    6

    Undecided votes                   0.28                                 174

Step-by-step explanation:

From the question we are told that

   The  number of voters is  n  =  621

   The  voter  election aspirants  and their relative frequency are

Romney , 0.21

Huckabee , 0.19

Guiliani  ,  0.12

John McCain ,0.10

 Ron Paul , 0.04

Fred Thompson 0.04,

Duncan Hunter 0.01

Tom Tancredo 0.01

Undecided votes 0.28

This undecided vote is used to represent votes that did not count and it is obtained by subtracting the other relative frequencies  from  1 (i.e 100%)

Generally the frequency is mathematically represented as

 Romney ,  621 *  0.21  =  130      

Huckabee ,  621 *  0.19    =  118

Guiliani  ,   621 * 0.12 =  75

John McCain      621 * 0.10 = 62

 Ron Paul , 621 * 0.04  =  25

Fred Thompson 621 * 0.04 =  25

Duncan Hunter 621 *  0.01  = 6

Tom Tancredo 621 * 0.01 =  6

Undecided votes 621 * 0.28 =  174

So the table is  

    Voters                 Relative Frequency                Frequency

   Romney                            0.21                                     130      

    Huckabee                        0.19                                     118

    Guiliani                              0.12                                    75

    John McCain                     0.10                                    62

       Ron Paul                         0.04                                    25

 Fred Thompson                    0.04                                     25

  Duncan Hunter                      0.01                                      6

  Tom Tancredo                         0.01                                    6

    Undecided votes                   0.28                                 174

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3