1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
babunello [35]
3 years ago
12

A Park ranger tags 100 animals. Use a proportion to estimate the total population for each sample.

Mathematics
1 answer:
7nadin3 [17]3 years ago
7 0

Answer:

It is given that A Park ranger tags 100 animals.

This means the proportion of animals tagged= \dfrac{100}{x}

where 'x' represents the total population of animals.

We have to find total number of animals in each parts.

1)

23 out of 100 animals are tagged.

That means the proportion of animals tagged= \dfrac{23}{100}

Now we know that the proportion must be equal.

 \dfrac{23}{100}=\dfrac{100}{x}

⇒ x=\dfrac{100\times 100}{23}=434.783

which is approximately equal to 435.

Hence, the total population =435.

3)

8 out of 116 animals are tagged

That means the proportion of animals tagged= \dfrac{8}{116}

Now we know that the proportion must be equal.

 \dfrac{8}{116}=\dfrac{100}{x}

x=\dfrac{100\times 116}{8}\\\\x=\dfrac{11600}{8}=1450

which is approximately equal to 1450

Hence, the total population =1450.

4)

5 out of 63 animals are tagged

That means the proportion of animals tagged= \dfrac{5}{63}

Now we know that the proportion must be equal.

 \dfrac{5}{63}=\dfrac{100}{x}

x=1260

Hence, the total population =1260.

5)

4 out of 83 animals are tagged

That means the proportion of animals tagged= \dfrac{4}{83}

Now we know that the proportion must be equal.

 \dfrac{4}{83}=\dfrac{100}{x}

x=\dfrac{100\times 83}{4}\\\\x=2075

Hence, the total population =2075.

6)

3 out 121 animals are tagged

That means the proportion of animals tagged= \dfrac{3}{121}

Now we know that the proportion must be equal.

 \dfrac{3}{121}=\dfrac{100}{x}

x=\dfrac{100\times 121}{3}\\\\x=4033.33

Hence, the total population =4033.

7)

83 out of 125 animals are tagged

That means the proportion of animals tagged= \dfrac{83}{125}

Now we know that the proportion must be equal.

 \dfrac{83}{125}=\dfrac{100}{x}

x=\dfrac{100\times 125}{83}\\\\x=150.6024

Hence, the total population =151.

8)

7 out 165 animals are tagged

That means the proportion of animals tagged= \dfrac{7}{165}

Now we know that the proportion must be equal.

 \dfrac{7}{165}=\dfrac{100}{x}

x=\dfrac{100\times 165}{7}\\\\x=2357.143

Hence, the total population =2357.

You might be interested in
Suppose X and Y represent two different school populations where X > Y and X and Y must be greater than 0. Which of the follo
Stells [14]

Answer:(X+Y)²

X²+Y² would be greater than X²-Y² since addition gives a greater result than subtraction.

X²+Y² would be greater than 2(X+Y); this is because 2(X+Y) = 2X+2Y, which will be less than X²+Y², since X>Y.

(X+Y)² = (X+Y)(X+Y). This can be simplified using the distributive property:

X(X)+X(Y)+Y(X)+Y(Y) = X²+XY+YX+Y² = X²+2XY+Y². This is greater than X²+Y².

7 0
3 years ago
Read 2 more answers
Help ( correct answer ) 16÷(4)(2)-3(2)÷2+1
Bess [88]
16 ÷ (4)(2) - 3(2) <span>÷ 2+1
16 </span>÷ 8 - 6 <span>÷ 3
2 - 2
0

Answer: 0</span>
3 0
3 years ago
Read 2 more answers
If your cell phone bill was $67.85 and there is a 7.5% late fee how much will your bill be?
dedylja [7]

67.85 \times .075 = 5.08875 \\ 67.85 + 5.08875 = 72.94
bill is $72.94
6 0
4 years ago
Read 2 more answers
Circle an expression and the variable you would substitute if for in each system y=2x <br>x+3y=14 ​
Len [333]

X=2

Y=4

Multiply top so y values cancel out, so multiple top by -3. Y values cancel out. You combine top and bottom equations, x=2. Plug 2 in first equation for x. Y=4

7 0
3 years ago
How is a triangle alike to a square
dimaraw [331]
They both have an area and are both 2d shapes and just shapes in general
8 0
3 years ago
Other questions:
  • I need help with 3 4 5
    10·1 answer
  • An architect is redesigning a rectangular room on the blueprints of the house. He decides to double the width of the room, incre
    11·1 answer
  • Suppose your current electricity meter reading is 25,789 kWh, and the reading on your last bill was 25,350 kWh. If you are charg
    6·1 answer
  • What are the roots of this function? f(x) = x2 – 8x + 12
    13·1 answer
  • Need help in math ASAP
    13·2 answers
  • Help me out and to the person reporting me Hi
    10·1 answer
  • GUYS PLS CLICK ON THIS QUESTION I NEED HELP RIGHT NOW IN LIKE 2 MINUTES PLEASE I WILL GIVE BRAINLIEST OMG :(
    11·1 answer
  • Which function has a greater y value if x=2<br> O<br> Blue<br> Red
    10·1 answer
  • If you multiply 2/3 * 6/10, would the product be more than 6/10 or less than 6/10?
    11·1 answer
  • What is the area of the trapezoid below?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!