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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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Find the two points on segment AB that divide the segment into 3 congruent Parts if A has coordinates (0 0) and point B has coor
Elena L [17]

Answer:

  (3, 2), (6, 4)

Step-by-step explanation:

Since one end (A) of the segment AB is at the origin, the required points will be 1/3 and 2/3 of the coordinates of B:

  (1/3)(9, 6) = (3, 2)

  (2/3)(9, 6) = (6, 4)

8 0
3 years ago
Factor the polynomial.<br> 13x² – 20x – 12
erma4kov [3.2K]

Answer:

(13 x + 6) (x - 2)

Step-by-step explanation:

Factor the following:

13 x^2 - 20 x - 12

Factor the quadratic 13 x^2 - 20 x - 12. The coefficient of x^2 is 13 and the constant term is -12. The product of 13 and -12 is -156. The factors of -156 which sum to -20 are 6 and -26. So 13 x^2 - 20 x - 12 = 13 x^2 - 26 x + 6 x - 12 = x (13 x + 6) - 2 (13 x + 6):

x (13 x + 6) - 2 (13 x + 6)

Factor 13 x + 6 from x (13 x + 6) - 2 (13 x + 6):

Answer: (13 x + 6) (x - 2)

6 0
3 years ago
A candy company claims that 20% of the candies in its bags are colored green. Steve buys 30 bags of 30 candies, randomly selects
Allisa [31]

Answer:

The probability of Steve agreeing with the company’s claim is 0.50502.

Step-by-step explanation:

Let <em>X</em> denote the number of green candies.

The probability of green candies is, <em>p</em> = 0.20.

Steve buys 30 bags of 30 candies, randomly selects one candy from each, and counts the number of green candies.

So, <em>n</em> = 30 candies are randomly selected.

All the candies are independent of each other.

The random variable <em>X</em> follows a binomial distribution with parameter <em>n</em> = 30 and <em>p</em> = 0.20.

It is provided that if there are 5, 6, or 7 green candies, Steve will conclude that the company’s claim is correct.

Compute the probability of 5, 6 and 7 green candies as follows:

P(X=5)={30\choose 5}(0.20)^{5}(1-0.20)^{30-5}=0.17228\\\\P(X=6)={30\choose 6}(0.20)^{6}(1-0.20)^{30-6}=0.17946\\\\P(X=7)={30\choose 7}(0.20)^{7}(1-0.20)^{30-7}=0.15328

Then the probability of Steve agreeing with the company’s claim is:

P (Accepting the claim) = P (X = 5) + P (X = 6) + P (X = 7)

                                       = 0.17228 + 0.17946 + 0.15328

                                       = 0.50502

Thus, the probability of Steve agreeing with the company’s claim is 0.50502.

7 0
3 years ago
Line passing through (2,5) and the m= -5/6
kiruha [24]

Answer:

y - 5 = (-5/6)(x - 2)

y - 5 = (-5/6)x + 10/6

y - 30/6 = (-5/6)x + 10/6

y = (-5/6)x + 20/3

Step-by-step explanation:

5 0
3 years ago
0.8y+0.25= -0.4<br><br> Solve for y
disa [49]

Answer:

y = -13/16

Step-by-step explanation:

<u>Given:</u>

0.8y+0.25= -0.4

<u>To Find:</u>

Solve for y

<u>Solution:</u>

Multiply both sides by 100

0.8y\cdot \:100+0.25\cdot \:100=-0.4\cdot \:100

Simplify

80y+25=-40

Subtract 25 from both sides

80y+25-25=-40-25

Simplify

80y=-65

Divide both sides by 80

\frac{80y}{80}=\frac{-65}{80}

Simplify

y=-\frac{13}{16}

Thus, y = -13/16

or in decimal form it equal y = -0.8125

<u><em>~Lenvy~</em></u>

7 0
2 years ago
Read 2 more answers
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