A computer tracking chip company wants to test their chips. They marked 32 birds by attaching computer chips to their legs. Later on, they catch 440 birds, 10 of which are marked with computer chips attached to them. They provided this data to animal welfare authorities to estimate the bird population. What is the best estimate of the bird population?

Equation/Question:

-6x-(-8)=2

Answer/Way I did it:

1. Remove parentheses.

-6x+8=2

2. Subtract 8 from both sides.

-6x=2-8

3. Simplify  2-8 to  -6.

-6x=-6

4. Divide both sides by -6.

x=1

-------------

Checking:

Equation/Question:

−6x−(−8)=2

----------------------

1. Let x=1.

−6×1+8=2

2. Simplify  -6×1  to  −6.

-6+8=2

3. Simplify  -6+8 to  2.

2=2

Done by NeighborhoodDealer

9514 1404 393

Answer:

  -12, -21

Step-by-step explanation:

Let x represent the first number. Then the second is x-9. The other relation is ...

  4x = 2(x-9) -6

  2x = -24 . . . . . subtract 2x, simplify

  x = -12

  x-9 = -21

The first number is -12; the second number is -21.

Answer:

Yes because length  x with x height, which equals 90

Step-by-step explanation:

Answer:

after 15 it goes like:

72

132

238

153

50?

mean = 132

Step-by-step explanation:

Answer:

Approximately 0% probability of the group contains exactly seven seniors and three juniors.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, the order in which the students are chosen is not important, which means that we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Desired outcomes:

7 seniors, from a set of 7.

3 juniors, from a set of 10. So

[tex]D = C_{7,7} \times C_{10,3} = \frac{7!}{7!(7-7)!} \times \frac{10!}{3!(10-3)&} = 1 \times 120 = 120[/tex]

Total outcomes:

10 students froms a set of 50. so

[tex]T = C_{50,10} = \frac{50!}{10!(50-10)!} = 10272278170[/tex]

Probability:

[tex]p = \frac{D}{T} = \frac{120}{10272278170} \approx 0[/tex]

Approximately 0% probability of the group contains exactly seven seniors and three juniors.

Answer:

4/1

or its 1/4

Step-by-step explanation:

Answer:

nth term = 1000×1.2ⁿ⁻¹

Step-by-step explanation:

The explicit rule for the given geometric sequence is aₙ = a₁rⁿ⁻¹ = 1000 x 1.2ⁿ⁻¹

A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant.

Given that, in two years the deer population in a state forest was 1,200. In year 4, the population was 1,728,

Therefore,

a₄ = 1728 and a₂ = 1200

We have two terms of the GP, therefore, finding r,

r² = 1728 / 1200 = 1.44

r = 1.2

Therefore,

a₁ = a₂r¹⁻²

= 1200r⁻¹ = 1200/r

= 1200 / 1.2 = 1000

Therefore, the formula will be = aₙ = a₁rⁿ⁻¹ = 1000 x 1.2ⁿ⁻¹

Hence, the explicit rule for the given geometric sequence is aₙ = a₁rⁿ⁻¹ = 1000 x 1.2ⁿ⁻¹

Learn more about geometric sequence click;

https://brainly.com/question/13008517

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Answer:

-1 = -6

-5 = 2

2 = 4

or it could be

-1,-1

-5, -1

2,2

Step-by-step explanation:

Answer

A. 16.5

Step-by-step explanation:

First you calculate what 45% of 30 is. Then you subtract that from 30.

Answer:

M x 2 + 5 = 32

Step-by-step explanation:

hope this helped if so please press the pink "thanks" button

Answer:

No

Step-by-step explanation:

2.6> -6.2

2.6 is more positive

Answer:

no

Step-by-step explanation:

the 6.2 is negative so it's below zero therefore this is false

Answer:

7%=0.07, 25%=0.25, 6.5%=0.065, 5%=1/20, 15%=3/20

Step-by-step explanation:

Feel free to ask questions if you don't know how to find the answer

Answer:

2 1/3 hours

Step-by-step explanation:

7/1 × 1/3 = 7/3 = 2 1/3 so the answer would be 7/3 or 2 1/3

Answer:

3

Step-by-step explanation:

9 times 3 is 27. 27 plus 8 is 35

Answer:

d=3

Step-by-step explanation:

Answer:

c believe me

Step-by-step explanation:

Answer:

it also shows the same dimensions

as all Δ are of 90°

Step-by-step explanation:

plz follow mr

Answer:

m = -7/5

Step-by-step explanation:

Answer:

634

Step-by-step explanation:

it started 759 under went up 125 feet

use the equation 759-125=634

Answer:

C. run 11 units

Step-by-step explanation:

because you run down -6 you rise 11

Answer:

6 cm

Step-by-step explanation:

I hope this helps!

Answer:

The rectangle's width is 6.

Step-by-step explanation:

You are given the perimeter is 86 cm. The perimeter is the sum of all the sums. For a rectangle, use the formula, P = 2l + 2w. So, we plug the given into our equation: P = 86, l = 37. This results in:

86 = 2(37) + 2w

86 = 74 + 2w

Subtract 74 on each side.

2w = 12

Then, divide each side by 2.

w = 6

Hopefully this helped. And good luck in your studies.

Answer:

[tex] \frac{9 {x}^{4} {y}^{3} }{24 {x}^{ - 2}y } \\ \frac{3 {x}^{2} {y}^{2} }{8} [/tex]

Answer:

[tex]V=343\,\,cm^3[/tex]

Step-by-step explanation:

Recall that fractional exponents are other form of representing roots.

In our case, the formula for the volume of the cube in terms of area of a face, is also written as:

[tex]V=A^\frac{3}{2} =(\sqrt{A} )^3[/tex]

which for the case of a cube with face area of 49 cm^2 becomes:

[tex]V=(\sqrt{49} )^3=7^3=343\,\,cm^3[/tex]

Hi there! :)

[tex]\large\boxed{\text{ x = 0, or (0, 2)}}[/tex]

The solution of g(x) = 3x + 2 and f(x) = |x - 1| + 1 is where the two lines intersect.

According to the graph, the functions intersect at the point (0, 2), or x = 0. This is the solution to the system of equations.

We could also prove this algebraically by setting the two equations equal to each other:

3x + 2 = | x - 1 | + 1

Assume the absolute value function is negative:

3x + 2 = -(x - 1) + 1

Simplify:

3x + 2 = -x + 2

Add x to both sides:

4x + 2 = 2

Subtract 2 from both sides:

4x = 0

x = 0. This is the solution to the system.

AnswerJust plug in x=-3, y=2 and z=-1 and simplify to get 2%28-3%29-%284%282%29-3%29%2B5%28-3%29%28-1%29=-6-%288-3%29%2B15=-6-5%2B15=4. So 2x-%284y-3%29%2B5xz=4 when x=-3, y=2 and z=-1

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

Plug in 4 as x and -6 as y

4y/2x

4(-6) / 2(4)

-24 / 8

= -3

So, the expression is equal to -3

Answer: 75.333333...

Step-by-step explanation: Might want to round that number to the nearest tenths. This number is a repeating digit.

Here we will show you step-by-step with detailed explanation how to calculate 452 divided by 6 using long division.

Before you continue, note that in the problem 452 divided by 6, the numbers are defined as follows:

452 = dividend

6 = divisor

Step 1:

Start by setting it up with the divisor 6 on the left side and the dividend 452 on the right side like this:

6 ⟌ 4 5 2

Step 2:

The divisor (6) goes into the first digit of the dividend (4), 0 time(s). Therefore, put 0 on top:

0

6 ⟌ 4 5 2

Step 3:

Multiply the divisor by the result in the previous step (6 x 0 = 0) and write that answer below the dividend.

0

6 ⟌ 4 5 2

0

Step 4:

Subtract the result in the previous step from the first digit of the dividend (4 - 0 = 4) and write the answer below.

0

6 ⟌ 4 5 2

- 0

4

Step 5:

Move down the 2nd digit of the dividend (5) like this:

0

6 ⟌ 4 5 2

- 0

4 5

Step 6:

The divisor (6) goes into the bottom number (45), 7 time(s). Therefore, put 7 on top:

0 7

6 ⟌ 4 5 2

- 0

4 5

Step 7:

Multiply the divisor by the result in the previous step (6 x 7 = 42) and write that answer at the bottom:

0 7

6 ⟌ 4 5 2

- 0

4 5

4 2

Step 8:

Subtract the result in the previous step from the number written above it. (45 - 42 = 3) and write the answer at the bottom.

0 7

6 ⟌ 4 5 2

- 0

4 5

- 4 2

3

Step 9:

Move down the last digit of the dividend (2) like this:

0 7

6 ⟌ 4 5 2

- 0

4 5

- 4 2

3 2

Step 10:

The divisor (6) goes into the bottom number (32), 5 time(s). Therefore put 5 on top:

0 7 5

6 ⟌ 4 5 2

- 0

4 5

- 4 2

3 2

Step 11:

Multiply the divisor by the result in the previous step (6 x 5 = 30) and write the answer at the bottom:

0 7 5

6 ⟌ 4 5 2

- 0

4 5

- 4 2

3 2

3 0

Step 12:

Subtract the result in the previous step from the number written above it. (32 - 30 = 2) and write the answer at the bottom.

0 7 5

6 ⟌ 4 5 2

- 0

4 5

- 4 2

3 2

- 3 0

2

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 452 divided by 6 calculated using Long Division is:

75

2 Remainder

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Answer:

15 height

Step-by-step explanation:

Answer:

2x^2 + 9x + 4

Step-by-step explanation:

To find the area of a triangle, use the formula, 1/2 · base · height = area.

If we plug the given expressions into the formula, we get

1/2(4x+2)(x+4)

Which simplifies to

(2x+1)(x+4)

=2x^2 + 9x + 4