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ra1l [238]
3 years ago
6

The local genealogical society in Coles County, Illinois, has compiled records on all 55,914 gravestones in cemeteries in the co

unty for the years 1825 to 1985. Historians plan to use these records to learn about African Americans in Coles County's history. They first choose an SRS of 395 records to check their accuracy by visiting the actual gravestones.
Explain how you would use your calculator to choose the SRS. Your description should be clear enough for a classmate to carry out your plan.
Mathematics
1 answer:
krok68 [10]3 years ago
3 0

Answer:

Step-by-step explanation:

There are 2 ways to proceed further.

Option A is with using the random number table.

  1. Let us assume that each gravestone has  a unique number between 1 and 55914.
  2. Choose a row at random from  the table.
  3. Take the first number consisting of 5 digits, if the number corresponds with a number between 1 and 55914, then select the corresponding plot, otherwise move on to the next 5 digit-number.

Repeat until 395 gravestones have been selected.

Option B is with using any calculator with capability of generating random integer. Here  for example consider any TI series programmable calculator.

  • Enter the following command into your calculator:

                                   randInt(1,55914,395)

  • The first and second number are the lower and upper limits between which the values have to lie.
  • The third number is the number of required selections.
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Leno4ka [110]

Answer:

We have the equation:

3x - 5y = 15

a) We want to create a table with at least 4 points.

To do this, first, let's write the equation as a function: We must isolate one of the variables. Let's isolate y.

5y = 3x - 15

y = (3/5)*x - 3.

Then we have a linear equation.

Now, we can input different values of x, and see what value takes y in each case, then in this way we can be sure that the points will be on the line.

x = 0.

y = (3/5)*0 - 3

y = -3

Then we have the point (0, -3).

x = 1.

y = (3/5)*1 - 3 = 3/5 - 15/5 = -12/5

y = -12/5

Then we have the point (1, -12/5)

x = 5

y = (3/5)*5 - 3 = 3 - 3 = 0

y = 0

then we have the point (5, 0)

x = 10

y = (3/5)*10 - 3 = 6 - 3 = 3

y = 3

Then we have the point (10, 3).

Now we can create the table

\left[\begin{array}{ccc}x&y\\0&-3\\1&-12/5\\5&0\\10&3\end{array}\right]

Below you can see a graph, where the blue dots are our 4 points, and the green line is the line that represents the equation.

3 0
3 years ago
PLEASE HELP DUE IN 20 MINUTES FIND X AND SHOW YOUR WORK PLEASE
Vlad1618 [11]

Answer:

x = 7°

Step-by-step explanation:

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x° = 7°

3 0
2 years ago
What is the midpoint of a segment with These endpoints (-6,-9) and (16,5)
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7 0
2 years ago
A cone is inscribed in a right square pyramid. What is the remaining volume if the
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4 0
2 years ago
One positive number is one-fifth of another number. the difference of the two numbers is 84. find the numbers.
seraphim [82]
Answer:  The numbers are:  " 21 " and " 105 " .
___________________________________________________
Explanation:
___________________________________________________
Let "x" be the "one positive number:

Let "y" be the "[an]othyer number".

x = 1/5 (y)
___________________________________________________
Given that the difference of the two number is "84" ;  and that "x" is (1/5) of  "y" ;  we determine that "x" is smaller than "y".

So, y − x = 84 .

Add "x" to each side of this equation; to solve for "y" in terms of "x" ;

y − x + x = 84 + x  ;

 y = 84 + x ;
___________________________________________________
So, we have: 

 x = (1/5) y ;

and:  y = 84 + x  ;

Substitute "(1/5)y" for "x" ;  in  "y = 84 + x " ;  to solve for "y" ;

 y = 84 + [ (1/5)y ]

Subtract  " [ (1/5)y ] " from EACH SIDE of the equation ;

y − [ (1/5)y ] = 84 + [ (1/5)y ] −  [ (1/5)y ]  ;

to get:

  [ (4/5)y ] = 84 ;


       ↔    (4y) / 5 = 84  ;
      
        →  4y = 5 * 84  ;

      Divide EACH SIDE of the equation by "4" ; 
to isolate "y" on one side of the equation; and to solve for "y" ;

           4y / 4 = (5 * 84) / 4 ;

                 y =  5 * (84/4) = 5 * 21 = 105 .

   y = 105 .
___________________________________________________
Now, plug "105" for "y" into:
___________________________________________________
Either:
___________________________________________________
 x = (1/5) y ;

OR:

  y = 84 + x  ;
___________________________________________________
to solve for "x" ;
___________________________________________________
Let us do so in BOTH equations; to see if we get the same value for "x" ; which is a method to "double check" our answer ;
___________________________________________________
Start with:

x = (1/5)y 

    →  (1/5)*(105) = 105 / 5 = 21 ;  x = 21 ; 

___________________________________________________
So, x = 21;  y = 105 .
___________________________________________________
Now, let us see if this values hold true in the other equation:
___________________________________________________
y = 84 + x ;

105 = ? 84 + 21 ?
 
105 = ? 105 ? Yes!
___________________________________________________
The numbers are:  " 21 " and  "105 " .
___________________________________________________

6 0
3 years ago
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