You wish to estimate the size of a population of rabbits living in a large urban park. What is the best method to use? A. Count individual rabbits within a randomly placed set of quadrants B. Count individual rabbits along a randomly placed series of transects C. Capture a set of rabbits, mark and release them, and then recapture a second set of rabbits D. Set up a life table for the rabbit population
The best method to estimate the size of a population of rabbits living in a large urban park is the Capture a set of rabbits, mark and release them, and then recapture a second set of rabbits, which is option C.
Later, a second sample of rabbits is captured, and the number of marked rabbits in this sample is recorded. The ratio of marked rabbits to the total number of rabbits in the second sample can be used to estimate the total population size.
The CMR method is considered one of the most accurate methods for estimating the size of a population of animals, as it accounts for the potential biases in other methods like counting individual animals within quadrants or along transects.
This method assumes that the marked and unmarked animals have an equal chance of being captured and that there is no migration or mortality between the two sampling periods.
In conclusion, the CMR method is the best option to estimate the size of a rabbit population in a large urban park as it is more accurate than other methods and accounts for potential biases in other methods. Therefore, correct option is C.
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This scatterplot shows data from Jillian's car trip.
Which equation best fits the data?
The linear function that best fits the data is given as follows:
y = 60x.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses tbe y-axis.When x = 0, y = 0, hence the intercept b of the line is given as follows:
b = 0.
When x increases by 5, y increases by 300, hence the slope m of the line is given as follows:
m = 300/5
m = 60.
Hence the equation is:
y = 60x.
Missing InformationThe points on the scatter plot are given as follows:
(0,0) and (5,300).
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What is the product
(y^2+3y+7)(8y^2+y+1)
Answer:
the last option
Step-by-step explanation:
Help please I will give brainliest!
Answer:
I believe it would be $1.25
Step-by-step explanation:
Since a lot of people bought doughnuts, that would probably be what most of them are spending their money on.
what is ""27.430"" in expanded form
The expanded form of the number 27.430 is 20 + 7 + 0.400 + 0.30.
What is an expanded form?A billing statement is a recurring statement that details every transaction made on your credit card account during the billing cycle, including purchases, payments, and other debits and credits. Every month or so, your credit card company will send you a billing statement.
Given that the number is 27.430. The expanded form of the number is written as:-
Expanded form:-
27.430 = 20 + 7 + 0.400 + 0.30.
When we add all the values of the expanded form we will get the previous value.
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can someone help me
Answer:
1,138 is the volume but I don't know how to find the surface area
Please help me find the length of AB.
Mr. Tanger is buying a jacket at the store. The coat cost $52, but Mr.Tanner has a coupon for 1/2 off. How much will he pay for the jacket?
Answer:
$26.00
Step-by-step explanation:
52 divided by 2 = 26
Write an equation in point-slope form of the line that passes through the given point and has the given slope. (12, 5); m = -3
Answer:
y - 5 = -3(x - 12)
Step-by-step explanation:
Point slope form is: y - y1 = m(x - x1), where (x1, y1) is a point on the line, and m is the slope of the line.
Plug in the point and the slope:
y - y1 = m(x - x1)
y - 5 = -3(x - 12)
So, y - 5 = -3(x - 12) is the equation in point slope form of the line.
Answer:
y-5 = -3(x-12)
Step-by-step explanation:
The "hoof of Archimedes" is the solid region defined by: x^2+y^2≤1 and 0≤z≤y.Set up the integral to find the volume of the hoof. Use cylindrical coordinates. Put your integral in a box. Put your final answer in a second box.
The volume of the hoof of Archimedes is 2/15 cubic units.
To find the volume of the hoof of Archimedes, we can integrate over the solid region using cylindrical coordinates.
The bounds for ρ, φ, and z are:
0 ≤ ρ ≤ 1 (from the equation x^2 + y^2 ≤ 1)
0 ≤ φ ≤ π/2 (from the given condition 0 ≤ z ≤ y)
0 ≤ z ≤ ρ sin φ (from the equation z = y)
Thus, the integral to find the volume V is given by:
V = ∫∫∫ ρ dz dφ dρ
Using the bounds above, we get:
V = ∫₀¹ ∫₀^(π/2) ∫₀^(ρ sin φ) ρ dz dφ dρ
Simplifying the integral, we get:
V = ∫₀¹ ∫₀^(π/2) ρ² sin φ dφ dρ
Integrating with respect to φ, we get:
V = ∫₀¹ (1 - cos² ρ)ρ² dρ
Evaluating the integral, we get:
V = [ρ³/3 - ρ^5/15] from 0 to 1
V = 2/15
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336,765=3,14×0.55×(l+0.55) please help
Answer:
l = 194999.45
Step-by-step explanation:
I'm going to assume that you meant 3.14 by 3,14.
336,765 = 3.14 × 0.55 × (l + 0.55)
336,765 ÷ (3.14 × 0.55) = l + 0.55
(336,765 ÷ (3.14 × 0.55)) - 0.55 = l
l = 194999.45
American Vietnam War protests intensified when the United States and South Vietnamese forces invaded ________________.
American Vietnam War protests intensified when the United States and South Vietnamese forces invaded Cambodia in 1970.
In April 1970, President Richard Nixon authorized the expansion of the Vietnam War into neighboring Cambodia with the aim of disrupting North Vietnamese supply routes and bases. This decision sparked a wave of protests across the United States as it represented an escalation of the war and a widening of the conflict beyond the borders of Vietnam. The invasion of Cambodia led to a significant increase in anti-war demonstrations and rallies, with many people expressing their opposition to the expansion of the war effort.
This sparked outrage among anti-war activists who saw it as an escalation of the conflict and an unjustifiable expansion of the war. The protests led to widespread demonstrations, strikes, and student unrest across the country, ultimately contributing to a shift in public opinion against the war.
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Each of a triangle's angles measures 60°. What kind of triangle is it?
A. Equilateral
B. Isosceles but not Equilateral
C. Scalene
Answer:
(c) Equilateral Step-by-step explanation:
21.5 ÷ 5 + (80.6 - 12.5 ÷ 2)
PEMDAS
Answer:
78.65
Step-by-step explanation:
The track team plans to buy new jerseys. If they buy more than 25 jerseys, the cost is $12.99 each. The total cost of the jerseys is a function of the number purchased, n. C(n) = 12.99n Use the drop-down menus to complete the statements below about the domain of this function.
Answer:
The answer is below
Step-by-step explanation:
A function shows the relationship between two variables (that is an independent variable and a dependent variable).
The domain of a function is the set of all input variables (that is independent variables).
Given the function C(n) = 12.99n, C(n) is the dependent variable representing the cost and n is the dependent variable which is the number of jerseys.
Since the customer has to buy more than 25 jerseys, the domain is:
Domain = 25 < n ≤ ∝
You are constructing a copy of . You choose a point, C, as one of the endpoints for the new line segment. What is the next step in the construction?
Answer: Keep the compass needle on A, and stretch the compass width to B
Step-by-step explanation: If AB is also a line segment, then the answer is: Keep the compass needle on A, and stretch the compass width to B.
Based on the information provided, what type of quadrilateral is this?
Answer:
Step-by-step explanation same I need this answer too what did you get
Answer:
hi baby how are you please com in zom
Step-by-step explanation:
3566267840 and pas 123456 u are bf
A pie chart is to be drawn for Cathy’s spending.
Cathy spent a total of $800 last month.
She spent $120on entertainment last month.
Calculate the size of the angle for entertainment in the pie chart.
Answer:
54°
Step-by-step explanation:
$800 is 360° of a pie chart
$120 is ?° of the pie chart
?° = (360*120)/800 = 54°
*if you need the answer to be in radiants
(54*π) /180 = 0.942478 rad
Step-by-step explanation
Biologists are studying the distribution of the number of orca calves in pods worldwide. The average orca pod has 16 calves each year, with a standard deviation of 12 calves. Suppose a random sample of 40 pods is selected. Identify each of the following and make sure to round to the nearest whole number:
u=
o=
n=
u-×=
o-×=
The mean number of orca calves in a sample of 40 pods is 16, the standard deviation is 12, and the standard error is 3.
In this problem, we are given that the average orca pod has 16 calves each year, with a standard deviation of 12 calves. We are also told that a random sample of 40 pods is selected.
The mean of the sample is equal to the population mean, which is 16 calves. The standard deviation of the sample is equal to the population standard deviation divided by the square root of the sample size, which is 12 / sqrt(40) = 3 calves.
The standard error is a measure of how much the sample mean is likely to vary from the population mean. The standard error is equal to the standard deviation of the sample divided by the square root of the sample size, which is 3 / sqrt(40) = 0.73 calves.
In other words, if we were to take many samples of 40 pods, the mean number of orca calves in each sample would be expected to vary from the population mean of 16 calves by an amount of +/- 0.73 calves.
This means that it is possible for the sample mean to be as low as 15.27 calves or as high as 16.73 calves.
It is also important to note that the standard error is only a measure of how much the sample mean is likely to vary from the population mean. It does not tell us anything about the distribution of the sample data.
The distribution of the sample data could be normal, skewed, or uniform. Without knowing more about the distribution of the sample data, we cannot say anything about the probability of getting a particular number of orca calves in a sample of 40 pods.
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Which equation shows an example of the associative property of addition?
(4+1) + 4 = 4 + (i + 41)
(4 + 1) + 41 = 4j + (-41 + 1)
4 • (-41 + 1) = (41 – 41) + (41 - 1)
O (-41 + 1) + 0 = (-41 + 1)
Answer:
A i think
Step-by-step explanation:
Select the domain and range of F.
F={(x, y) Ix+y=10].
1. Set F is not a function and does not contain a domain or range
2. Domain: [10] Range: (10)
3. Domain: All Real Numbers Range: All Real Numbers
The domain and range of F is F={(x, y) Ix+y=10] is: 3. Domain: All Real Numbers Range: All Real Numbers
The given set F={(x, y) | x+y=10} represents a linear equation where the sum of x and y is always equal to 10.
To determine the domain and range of F, we need to consider the
possible values of x and y that satisfy the equation.
Domain: The domain represents the set of all possible values for the independent variable, which in this case is x. Since there are no restrictions on the value of x, the domain is All Real Numbers.
Range: The range represents the set of all possible values for the dependent variable, which in this case is y. By rearranging the equation x+y=10, we can solve for y to get y=10-x. Since x can take any real value, y can also take any real value. Therefore, the range is also All Real Numbers.
The correct answer is: 3. Domain: All Real Numbers Range: All Real Numbers
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The inequality 10.45b + 56.50 < 292.67 is used to find the number of boxes (b) that can be loaded on a truck without exceeding the weight limit of the truck. The solution is written as {b | b < 22.6}. Which statement best describes the meaning of the solution? The truck can hold more than 22 boxes. The truck can hold more than 23 boxes. The truck can hold up to 22 boxes The truck can hold up to 23 boxes.
Answer:
The answer is C.
Step-by-step explanation:
The truck can hold up to 22 boxes.
Answer:C
Step-by-step explanation:
Sally works in a cell phone store. She is paid a weekly salary of $80 plus $5.25 for
each cell phone she sells. Which equation can be used to find Sally’s total weekly
income?
Answer:
First, let's define some variables.
x = # of cell phones sold.
y = total weekly income.
y = $5.25x + $80
Another way is
If $80 is her standard income per week, then there is no variation in how much she's earning for that chunk of money. The phones however are $5.25 per phone shes sold, and that exact number could vary, so we’d represent that with “x.” the correct equation to solve this would be y(total weekly income)= $5.25x + 80
help could you explain step by step?
Answer:
x = 2 , y = 11
Step-by-step explanation:
the diagonals of a parallelogram bisect each other , then
PT = TR , that is
y = 5x + 1 → (1)
QT = TS , that is
2y = 6x + 10 → (2)
substitute y = 5x + 1 into (2)
2(5x + 1) = 6x + 10
10x + 2 = 6x + 10 ( subtract 6x from both sides )
4x + 2 = 10 ( subtract 2 from both sides )
4x = 8 ( divide both sides by 4 )
x = 2
substitute x = 2 into either of the 2 equations for corresponding value of y
substituting into (1)
y = 5(2) + 1 = 10 + 1 = 11
TR=PT as diagonals bisect each other in parallelogram
y=5x+1--(1)Similarly
QT=TS
2y=6x+10-(2)Equate both equations in (2)
2(5x+1)=6x+1010x+2=6x+104x=8x=2Now
y=5(2)+1y=11*** 7. Sam and Sue have only nickels and
dimes. Sue has 35€. Sam has the same number of
dimes as Sue has nickels, and he has half as many
nickels as Sue has dimes. How many nickels does
Sue have?
Answer:
there no photo so I cant answer without seeing it
Write the rational number 36/5 as a decimal
Answer:
36/5 as a decimal is 7.2
Step-by-step explanation:
In the fraction 36/5, 36 is the numerator and 5 is the denominator, the fraction bar means "divided by". Therefore, the fraction 36/5 is same as "36 divided by 5" or "36 ÷ 5".
When we calculated 36 divided by 5, we found that 36/5 in decimal form is:
36 ÷ 5 = 7.2
Therefore, the decimal form of 36/5 is 7.2
PLEASE HELP ASAP FOR ALGEBRA 1 Mr Reder has just robbed a bank and is trying to escape on foot. He is currently 3 miles from the bank and running at 5 miles per hour. Write an equation to model how far from the bank Mr Reder is after a certain amount of time has passed. How far has he gone after 3 hours? Draw an appropriate graph for this equation.
Answer:
He has ran 15 miles and passed the bank 12 miles from his location where he is at.
Step-by-step explanation:
WHY WAS HE ROBBING A BANK?????????
Answer:
Step-by-step explanation:
His distance from the bank can be modeled using an equation in the form y=mx+b. Since he has already ran 3 miles, the "b" is equal to 3, and can be added to how many miles he runs on from now on. If he can run 5 miles per hour, then that means every hour, he will run 5 miles. We can represent how many hours have passed as x. This would make our equation y=5x+3.
After 3 hours he has gone 5(3)+3 miles, or 18 miles
the radius of the earth - the distance from surface to core - is 6,370 kilometers. the planet neptune is 24,620 kilometers. if a scale model of the earth is drawn with a radius of 2.5 centimeters, how large would a scale model of neptune have to be drawn? group of answer choices 9848 cm 9.7 cm 2548 cm 0.02548 cm 3.86 cm
We may build up a proportion and solve for the scale model radius of Neptune using the ratio between the radii of the two planets and the known scale model radius of the Earth. The scale model of Neptune that is produced has a radius of around 9.7 cm.
We may take advantage of the fact that the ratio between the two planets' radii and the ratio between their respective scale model radii is the same. Let's name the Neptune scale model radius "r" Then, we may set up the ratio shown below:
Neptune's radius is equal to the product of Earth's radius and its scale model.
With the provided values, we may simplify and obtain:
24620 km / 6370 km equals 2.5 cm / r
We obtain the following when solving for "r":
r = (24620 km * 2.5 cm) / (6370 km)
r ≈ 9.7 cm
Therefore, a scale model of Neptune would have to be drawn with a radius of approximately 9.7 cm.
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2 Fred and Ted each have a savings account. Fred's savings account is represented in the table below.
Ted's savings account is represented by the graph.
Fred's Account
Ted's Account
Number of Weeks Amount in Savings
200
Account (5)
0
50
175
60
125
100
1
150
70
80
Amount Saved (5)
75
sol
21
Number of weeks
Part A Find the rate of change for the two accounts
Fred saves $_ per week
Ted saves 5 per week
Part B: Identify the initial value for the two accounts
Freds
Ted: S
Answer:
you have to divide all the numbers and see what it is
A researcher for an airline interviews all of the passengers on five randomly selected flights. Identify which sampling technique is used.
A researcher for an airline interviews all of the passengers on five randomly selected flights. Identify which sampling technique is used.(SELECT ALL THAT APPLY)
a)Stratisfied
b)Convenience
c)Cluster
d)Random
The sampling technique used for this situation is given by:
c) Cluster.
How are samples classified?Samples may be classified as:
Convenient: Drawn from a conveniently available pool.Random: All the options into a hat and drawn some of them.Systematic: Every kth element is taken. Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.Stratified: Also divides the population into groups. Then, a equal proportion of each group is surveyed.In this problem, the population is divided into groups, and each element of the groups are survived, hence cluster sampling was used.
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