Probability and likelihood

a team of scientists is studying the animals at a nature reserve. They capture the animals, mark them so they can identify each animal, and then release them back into the park. The table gives the number of animals they’ve identified. Use this information to complete the two tasks that follow.


animal total in park number marked

elk 5,625 225

wolf 928 232

cougar 865 173

bear 1,940 679

mountain goat 328 164

deer 350 105

moose 215 86

part a

what is the probability of the next elk caught in the park being unmarked? write the probability as a fraction, a decimal number, and a percentage.



font sizes





characters used: 310 / 15000

part b

describe the likelihood of the next elk caught being unmarked.



font sizes





characters used: 58 / 15000

part c

describe a simulation that you can use to model this situation.



font sizes





characters used: 374 / 15000

part d

what is the probability of the next wolf caught in the park being unmarked? write the probability as a fraction, a decimal number, and a percentage.



font sizes





characters used: 54 / 15000

part e

describe the likelihood of the next wolf caught being unmarked.



font sizes





characters used: 0 / 15000

part f

describe a simulation that you can use to model this situation. The simulation should be different from the one in part c.



font sizes





characters used: 86 / 15000

part g

in the unit, you found the probability of a compound event by identifying the sample space. However, it is also possible to find the probability of a compound event without finding the sample space. To do this, multiply the probability of the first event by the probability of the second event. For example, the probability of flipping heads twice on a coin is. Using this idea, what is the probability that the next cougar and bear caught will both be unmarked?



font sizes





characters used: 0 / 15000

part h

describe the likelihood that the next cougar and bear caught are both unmarked.



font sizes





characters used: 0 / 15000

part i

describe a simulation that you can use to model this event.



font sizes





characters used: 0 / 15000

part j

using the method described in part g, what is the probability that the next mountain goat, deer, and moose caught are all unmarked?



font sizes





characters used: 0 / 15000

part k

describe the likelihood that the next mountain goat, deer, and moose caught are all unmarked.



font sizes





characters used: 0 / 15000

part l

describe a simulation that you can use to model this event. Your simulation should be different from the one in part i.



font sizes





characters used: 0 / 15000

Answer:

Step-by-step explanation:

Dame tu cosita ah ah

Dame tu cosita ah, ay

Dame tu cosita ah ah

Dame tu cosita ah, ay

Dame tu cosita ah ah

Dame tu cosita ah, ay

Dame tu cosita ah ah

Muévete para aquí, muévete para allá

Dame tu cosita (ay toma, cosita, cosita, cosita)

Dame tu cosita (ay toma, cosita, pure energy)

Dame tu cosita (ay toma, cosita, cosita, cosita)

Dame tu cosita (ay toma, cosita, cosita, cosita)

Dame tu cosita ah ah

Dame tu cosita ah, ay

Dame tu cosita ah ah

Dame tu cosita ah, ay

Dame tu cosita ah ah

Dame tu cosita ah, ay

Dame tu cosita ah ah

Muévete para aquí, muévete para allá

Dame tu cosita (ay toma, cosita, cosita, cosita)

Dame tu cosita (ay toma, cosita, pure energy)

Dame tu cosita (ay toma, cosita, cosita, cosita)

Dame tu cosita (ay toma, cosita, cosita, cosita)

Step-by-step explanation:

(3m-4)² + 8(3m-2) = (3m-4)(3m-4) + 24m - 16 =

= 9m² - 3m×4 - 4×3m + 16 + 24m - 16 =

= 9m² - 24m + 16 + 24m - 16 = 9m²

so, there is seemingly something missing in your original expression.

going from 9m², the most likely solution would be 9m/4 and therefore B.

but we cannot be sure, because again, I don't know what you left out in the beginning.

Answer:

The answer is 4,761

Here, we want to write the decimal as a percent

We first re-write as a fraction then multiply by 100%

We have this as;

The equation of the axis of symmetry for the parabola is x = 2.

What is the axis of symmetry?

The object's shape is symmetrical because of the axis of symmetry, which is a straight line. On each of its sides, the axis of symmetry produces an exact reflection. It might be lateral, vertical, or horizontal. The two sides of an object are the same if we fold and unfold it along the axis of symmetry. Different shapes have various symmetry lines. There are four lines of symmetry in a square, two lines in a rectangle, infinite lines in a circle, and no lines of symmetry in a parallelogram. There are n axes of symmetry in a regular polygon with n sides.

Given equation of the parabola is

y = 2/3 (x - 2)² - 5

The general form of a parabola is y = a(x - h)² + k.

The vertex of the parabola is (h,k).

The equation symmetric axis is x = h.

Now compare the equation y = 2/3 (x - 2)² - 5 with y = a(x - h)² + k:

a = 2/3, h = 2, k = -5

The equation of the axis of symmetric is x = 2.

To learn more about parabolas, click on the below link:

https://brainly.com/question/3780621

#SPJ1

Answer: 65%-35%=30% and 30% is how much he needs :) hoped it helped unlike the other one

Step-by-step explanation: Marcelo older son has a 65% amount of money and his sister has 35%. One month Marcelo bank switch things around by accident so his sister has the 65% and the older son has 35%.  How much % does Marcelo older son need to get his 65%.

95% percentage of this month’s check should the bank add to his son’s account so that his son’s account has 65% of the overall amount deposited over this month and last month.

A number or ratio which can be expressed as just a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The percentage therefore refers to a part per hundred. Per 100 is what the word percent means. The letter "%" stands for it. There is no dimension to percentages. As a result, it is known as a dimensionless number. When we say a number is 50% of something, we mean that it is 50% of everything.

As in 0.6%, 0.25%, etc., percentages can also be expressed as decimals or fractions. The grades earned in any subject have been calculated in terms of percentages in academics.

With the previous month mistake, son is in 30% loss and daughter is in 30% gain.

To overcome it next month, bank will add 30% more i.e. (65+30)% = 95%

Hence, 95% percentage of this month’s check should the bank add to his son’s account so that his son’s account has 65% of the overall amount deposited over this month and last month.

Learn more about percentage from the link.

https://brainly.com/question/24877689

#SPJ2

Answer:

7 minutes, 8 minutes, 9 minutes, or more

Really any minute more than 6 should do.

Step-by-step explanation:

48 - 18 = 30

30 ÷ 5 = 6

It says the tank should have more than 48 liters, so the answer should be more than 6 minutes.

A function assigns the values. The value of x changes by 6.5, and the value of y changes by 13.

A function assigns the value of each element of one set to the other specific element of another set.

Given that x and y vary together such that y = 2x+8. Also, the of x varies from x = 3 to x = 9.5. Therefore, we can write,

x  change by = Maximum value of x - Minimum value of x

                     = 9.5 - 3

                     = 6.5

Further, the minimum and the maximum value of y will be when the value of x is minimum and maximum, this is because the function is linear. Therefore, we can write,

Minimum value of y, y = 2(3) - 8 = -2

Maximum value of y, y = 2(9.5) - 8 = 11

y change by = Maximum value of y - Minimum value of y

                    = 11 - (-2)

                    = 11 + 2

                    = 13

Hence, the value of x changes by 6.5, and the value of y changes by 13.

Learn more about Function here:

https://brainly.com/question/5245372

#SPJ4

Answer:

72

Step-by-step explanation:

Answer:

-6 multiplied by -2x minus -6 multiplied by 1

= \(-6 * -2x - -6 * 1\)

= \((-6 * -2x) - (-6 * 1)\)

= \(12x - -6\)

= \(12x -(-6)\)

= \(12x + 6\)

Time in GMT is 5:14:20 P.M (GMT)

Eastern Daylight Saving Time is four hours behind GMT (Greenwich Mean Time).

The time on the Earth's meridian, or zero-degree line of longitude, is known as Greenwich Mean Time (GMT). This passes via the Old Royal Observatory in the London district of Greenwich on its way from the North Pole to the South Pole.

This is,

Eastern Standard Time is equal to Greenwich Mean Time plus four.

Therefore,

1:14:20 p.m. EDT (Eastern Daylight) will be equivalent to;

1:14:20 p.m + 4 hours (GMT)

5:14:20 P.M (GMT)

Know more GMT

https://brainly.com/question/22980056

#SPJ4

Answer:

According to me,

Answer:

Step-by-step explanation:

a=0.5

Answer:

\(\sqrt{\sqrt{2} }\)

Step-by-step explanation:

f(1)=3; f(1)=f(0)^2+1
f(0)=\(\sqrt{2}\)=f(3)^2+0; f(3)^2=sqrt*2; f(3)=sqrt*sqrt2

Answer:

y=-4x-24

Step-by-step explanation:

The equation of a line is always in the form y=mx+c. By subbing in the values given by the two points, we get:

0=-6m+c

-24=c

∴0=-6m-24

6m=-24

m=-4

∴the equation is: y=-4x-24

Answer:

Yes, they have enough flour to bake a cake that needs 3 cups of flour.

Step-by-step explanation:

1 4/5 = 9/5

1 2/3 = 7/3

We add both numbers

9/5 + 7/3 = 27/15 + 35/15 = 62/15 = 4.1 cup of floor

4.1 > 3

So,they have enough flour to bake a cake that needs 3 cups of flour,

Answer:

4,560 pounds of soil

Step-by-step explanation:

Ok, based on the information given we are assuming that Persephone's garden is in the shape of a square or rectangle and the measurements 8 by 19 are in feet. That being the case we first need to calculate the square footage of the garden and we do this by multiplying the length by the width like so...

8 ft * 19 ft = 152 sq. ft.

Now that we know the square footage, we calculate how much soil is needed. Since the question states that she needs 30 pounds of soil per square foot then we multiply the square footage of the garden by 30.

152 sq. ft. * 30lb =  4,560lb

Finally, we can see that Persephone will need 4,560 pounds of soil for her garden.

The right answer is 7/3

please see the attached picture for full solution

hope it helps..

Good luck on your assignment

Answer:

\(slope = \frac{7}{3} \)

Step-by-step explanation:

\((5 \: \: , \: \: 9) = > (x1 \: \: \:, \: y1) \\ (2 \: \: , \: \: 2) = > (x2 \: \: \:, \: \: y2)\)

\( slope \\ = \frac{y1 - y2}{x1 - x2} \\ = \frac{9 - 2}{5 - 2} \\ = \frac{7}{3} \)

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer: -8

Step-by-step explanation: 2.25x-20 = 6.5x +14

Subtract 14 on both sides and rearrange, 6.5x= 2.25x -34

then subtract 2.25x from both sides, 4.25x= -34

Finally divide both sides by 4.25 to get x = -8

Hope this helped!

Answer:

Step-by-step explanation:

6.5x + 14 = 2.25x - 20

4.25x + 14 = -20

4.25x = -34

x= -8

In order to identify these mentioned terms, it is important that each of them is defined.

Diameter: It is a line that passes through the center of the circle from one endpoint to another. It is two times the radius of the circle

Radius: It is a line drawn from the center of the circle to one endpoint of the circle.

It is half of the diameter.

Chord: It is a line drawn from one endpoint of the circle to another but does not necessarily pass through the center. Diameter is an example of a chord, but a chord does not have to be a diameter

Arc: It is a segment of the circumference of a circle

Circumference: is the total distance around the circle

From the diagram above:

|AB| is a diameter

|OA| or |OB| is the radius

|CD| is the chord

Arc CD is indicated on the diagram

If a circle has a radius of 2 cm:

Diameter = 2 x radius

Diameter = 2 x 2

Diameter = 4 cm

Therefore, if a circle has a radius of 2 cm, the diameter is 4 cm

The allowance for doubtful accounts is the estimated amount that will be uncollectible from the accounts receivable. It is shown on the balance sheet as a contra-asset account that reduces the value of the accounts receivable.

The percent of accounts receivable method is used by Mazie Supply Co. and on December 31, it had outstanding accounts receivable of $110,000. It estimates that 5% of the accounts receivable will be uncollectible.The percentage of accounts receivable method is used to calculate the estimate of the amount of a company's accounts receivable that will not be paid by the company's clients. This is done by using a percentage of the total accounts receivable that are expected to be uncollectible as a proportion of the total amount owed. To apply this method to the Mazie Supply Co, we use the following formula:

Allowance for Doubtful Accounts = Accounts Receivable x Percentage Uncollectible

Now we substitute the given values:

Allowance for Doubtful Accounts = $110,000 x 5% = $5,500

Therefore, the allowance for doubtful accounts is $5,500. The allowance for doubtful accounts is the estimated amount that will be uncollectible from the accounts receivable. It is shown on the balance sheet as a contra-asset account that reduces the value of the accounts receivable.

To know more about balance sheet visit:

https://brainly.com/question/28446946

#SPJ11

Answer:

b

Step-by-step explanation:

give other person brainliest

The mistake lies in step -(66/5)/(22/5) → -(66/5)(22/5) where he didn't take the reciprocal of the divisor while dividing the two fractions.

The step would have been like this:

-(66/5)/(22/5) = -(66/5)(5/22) = -(3).

A fraction is a portion of a whole or, more broadly, any number of equal pieces.

It is written in the form p/q, read as "p by q", where p is called the numerator and q is called the denominator, and the fraction p/q represents p number of equal parts from q number of equal parts.

Fractions are of two types:

Fractions are divided by multiplying the dividend by the reciprocal of the divisor

Suppose we are asked to divide a fraction a/b by x/y.

This is written as (a/b) ÷ (x/y) or (a/b)/(x/y), and calculated as:

(a/b)*(y/x).

In the question, we are informed that last night, the temperature fell from 0°F to Negative 13 and one-fifth °F in 4 and two-fifths hours. Alan calculated the average temperature change per hour.

He followed the following steps:

-(13 1/5)/(4 2/5)

= -(66/5)/(22/5)

= -(66/5)(22/5)

= -(1452/25).

The mistake lies in step -(66/5)/(22/5) → -(66/5)(22/5) where he didn't take the reciprocal of the divisor while dividing the two fractions.

The step would have been like this:

-(66/5)/(22/5) = -(66/5)(5/22) = -(3).

Learn more about dividing fractions and reciprocals at

https://brainly.com/question/1622425

#SPJ2

Integration by ordinary substitution is a general technique for simplifying integrals by changing variables, while integration by trigonometric substitution is a specific technique for evaluating integrals involving square roots and trigonometric functions.

Integration by ordinary substitution and integration by trigonometric substitution are two different techniques used to evaluate integrals in calculus.

Integration by ordinary substitution, also known as u-substitution, involves making a change of variables to simplify the integral. It is based on the chain rule for differentiation. The general steps for integration by ordinary substitution are as follows:

1. Identify a part of the integrand that can be replaced by a single variable, denoted by u.

2. Compute the derivative du/dx of the new variable u.

3. Substitute the expression for u and du into the integral, replacing the original integrand.

4. Integrate the resulting expression with respect to u.

5. Replace the variable u with the original variable or expression to obtain the final result.

Integration by trigonometric substitution, on the other hand, is a technique specifically used for integrals involving square roots of quadratic expressions or expressions with a combination of squares. It is based on trigonometric identities and is particularly useful when dealing with integrals that can be simplified using trigonometric functions. The general steps for integration by trigonometric substitution are as follows:

1. Identify a part of the integrand that can be expressed in terms of a trigonometric function.

2. Make a substitution using a trigonometric identity to replace the relevant part of the integrand.

3. Express all other terms in the integrand in terms of the same trigonometric function.

4. Simplify the integral using trigonometric identities and algebraic manipulations.

5. Integrate the resulting expression with respect to the new variable (usually denoted by θ).

6. Replace the trigonometric function with the original variable or expression to obtain the final result.

In summary, integration by ordinary substitution is a general technique for simplifying integrals by changing variables, while integration by trigonometric substitution is a specific technique for evaluating integrals involving square roots and trigonometric functions.

To know more about trigonometric functions

brainly.com/question/6904750

#SPJ4

We want to find the slope of the line that connects points C' and D'. We will find that the slope is -3/7.

First, we start with the points:

Now we create points C' and D' by translating points C and D to the left by 6 units, this means that we need to subtract 6 in the x-value of each point, so we will have:

And we know that if a line passes through points (x₁, y₁) and (x₂, y₂) the slope is given by:

\(a = \frac{y_2 - y_1}{x_2 - x_1}\)

Then the slope that connects points C' and D' is:

\(a = \frac{5 - 8}{2 - (-5)} = \frac{-3}{7}\)

If you want to learn more, you can read:

https://brainly.com/question/2263981

Answer:

1/-6

Step-by-step explanation:

Answer:

A: x=-6 or x=1

Step-by-step explanation:

Yes. Do you agree?

Answer:

4.2 cents

Step-by-step explanation:

Take the total cost and divide by the number of ounces

1.01 /24

0.04208

Round to the nearest tenth of a cent ( 3 decimal places)

0.042

4.2 cents

The total amount contact paper required will depend on total surface area of the box which will be 778 square inches.

As per the question statement, we are given a box with dimensions

(18in x 1ft 1in x 5 in) and we are supposed to find the total amount contact paper required to cover it.

The total amount contact paper required to cover it will depend on the total surface area of the box.

Given length(L) = 18 inches

Given width(W) = 1 ft 1 in = 13 inches

Given height(H) = 5 inches

Total Surface Area of the box is given by the formula

Area = 2(LW + WH + HL)

Area = 2(18*13 + 13*5 + 5*18)

Area = 2*389

Area = 778 square inches

To learn more about such questions and concepts, click on the link given below:

https://brainly.com/question/2835293

#SPJ1  

the exact solutions of the equation in the interval \([0, 2\pi)\) are \(x = \frac{\pi}{2}\), \(x = \frac{3\pi}{2}\), \(x = \frac{7\pi}{6}\), and \(x = \frac{11\pi}{6}\).

The given equation is \(\sin(2x) + \cos(x) = 0\) in the interval \([0, 2\pi)\). To find the exact solutions, we can rewrite the equation using trigonometric identities.

Using the double angle identity for sine, we have \(\sin(2x) = 2\sin(x)\cos(x)\). Substituting this into the equation, we get \(2\sin(x)\cos(x) + \cos(x) = 0\).

Factoring out \(\cos(x)\), we have \((2\sin(x) + 1)\cos(x) = 0\).

This equation is satisfied when either \(\cos(x) = 0\) or \(2\sin(x) + 1 = 0\).

For \(\cos(x) = 0\), the solutions in the interval \([0, 2\pi)\) are \(x = \frac{\pi}{2}\) and \(x = \frac{3\pi}{2}\).

For \(2\sin(x) + 1 = 0\), we have \(2\sin(x) = -1\), and solving for \(\sin(x)\) gives \(\sin(x) = -\frac{1}{2}\).

The solutions for \(\sin(x) = -\frac{1}{2}\) in the interval \([0, 2\pi)\) are \(x = \frac{7\pi}{6}\) and \(x = \frac{11\pi}{6}\).

Learn more about equation here : brainly.com/question/29657983

#SPJ11

Answer:

the answer is 6.33 = y for this

Answer:

Wouldn't that be 6.33?

Step-by-step explanation:

Cause you would just subtract 8.53 minus 2.2?