The estimated size of the deer population in the area is approximately 36.43. Since this is less than the carry capacity of 95, no permits need to be issued for population control.
To estimate the size of the deer population, we can use the mark and recapture method. The biologist tagged 28 deer in June and then trapped a total of 60 deer in August, of which 17 had tagged ears.
The mark and recapture method assumes that the proportion of tagged deer in the second sample represents the proportion of tagged deer in the entire population. We can set up a proportion:
(Tagged deer in the second sample) / (Total population) = (Tagged deer in the first sample) / (Total number of deer in the second sample)
Using the given information:
17 / Total population = 28 / 60
To solve for the total population, we can cross-multiply and solve the equation:
17 * 60 = 28 * Total population
1020 = 28 * Total population
Total population = 1020 / 28
Total population ≈ 36.43
Therefore, the estimated size of the deer population in that area is approximately 36.43.
To determine if any permits should be issued, we need to compare the estimated population size to the carry capacity of 95. Since the estimated population size is less than the carry capacity, no permits need to be issued.
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10 tenths is the same as
Answer:
As in 10/10? The answer would be 1
HELP MARKING BRAINLEIST IF RIGHT ASAP
Step-by-step explanation:
you don't know Pythagoras ?
c² = a² + b²
c is the Hypotenuse (the side opposite of the 90° angle), a and b are the legs.
please remember this for life !
so, in our case :
c² = 6² + 4² = 36 + 16 = 52
c = sqrt(52) = sqrt(4×13) = 2×sqrt(13) =
= 7.211102551... ≈ 7.2 miles
Which angle is coterminal with a 120° angle?
A. An angle measuring 300°
B. An angle measuring-120°
C. An angle measuring 470°
D. An angle measuring 480°
An angle measuring 480° is coterminal with a 120° angle.
Coterminal anglesThis classification represents angles that do not present the same value, but they present vertices and sides are identical. Also, if the angles are coterminal, then their sines, cosines and tangents are equal.
A coterminal angle can be found from the formula β = α ± 360 * w, where w is a positive integer.
Thus,
For w=1 and α=120°β = 120 ± 360 * 1
β = 120 ± 360
Then, β can be 120+360=480° or 120-360= -240°
For w=2 and α=120°β = 120 ± 360 * 2
β = 120 ± 720
Then, β can be 120+720=840° or 120-720= -600°
Therefore, the answer to this question is option D.
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2-simplifica
1)x²-5x-16
x+2=
2)6an²-3b²n²
b4-4ab²+4a²=
3)4x²-4xy+y²
5y-10x
4)n+1-n³-n²
n³-n-2n²+2=
5)17x³y4z6
34x7y8z10=
6)12a²b³
60a³b5x6=
1. x² - 5x - 16 can be written as (x - 8)(x + 2).
2. 6an² - 3b²n² = n²(6a - 3b²).
3. This expression represents a perfect square trinomial, which can be factored as (2x - y)².
4. Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).
5. 17x³y⁴z⁶ = (x²y²z³)².
6. 12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.
Let's simplify the given expressions:
Simplifying x² - 5x - 16:
To factorize this quadratic expression, we look for two numbers whose product is equal to -16 and whose sum is equal to -5. The numbers are -8 and 2.
Therefore, x² - 5x - 16 can be written as (x - 8)(x + 2).
Simplifying 6an² - 3b²n²:
To simplify this expression, we can factor out the common term n² from both terms:
6an² - 3b²n² = n²(6a - 3b²).
Simplifying 4x² - 4xy + y²:
This expression represents a perfect square trinomial, which can be factored as (2x - y)².
Simplifying n + 1 - n³ - n²:
Rearranging the terms, we have -n³ - n² + n + 1.
Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).
Simplifying 17x³y⁴z⁶:
To simplify this expression, we can divide each exponent by 2 to simplify it as much as possible:
17x³y⁴z⁶ = (x²y²z³)².
Simplifying 12a²b³:
To simplify this expression, we can multiply the exponents of a and b with the given expression:
12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.
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In Exercises 21-26, evaluate det(A) by a cofactor expansion along a row or column of your choice. 21. A = [\begin{array}{ccc}-3&0&7\\2&5&1\\-1&0&5\end{array}\right]. 22. A = [\begin{array}{ccc}3&3&1\\1&0&-4\\1&-3&5\end{array}\right]
We have evaluated the determinant of matrix A using cofactor expansion along the first row and second column and obtained the same result of \($\det(A) = -40$\) and \($\det(A) = -44$\), respectively.
We will expand along the first row:
\($\det(A) = (-3)\begin{vmatrix}5 & 1 \ 0 & 5\end{vmatrix} - 0\begin{vmatrix}2 & 1 \ -1 & 5\end{vmatrix} + 7\begin{vmatrix}2 & 5 \ -1 & 0\end{vmatrix}$\)
Simplifying the determinants:
\(\det(A) = (-3)((5)(5) - (1)(0)) - 0((0)(5) - (1)(-1)) + 7((2)(0) - (5)(-1))$$\det(A) = -75 + 0 + 35 = -40\)
We will expand along the second column:
\($\det(A) = -3\begin{vmatrix}1 & -4 \ -3 & 5\end{vmatrix} - 3\begin{vmatrix}1 & -4 \ 1 & 5\end{vmatrix} + 1\begin{vmatrix}3 & 3 \ 1 & -3\end{vmatrix}$\)
Simplifying the determinants:
\(\det(A) = -3((1)(5) - (-4)(-3)) - 3((1)(5) - (-4)(1)) + 1((3)(-3) - (3)(1))$$\det(A) = -3(17) - 3(-1) + 1(-12) = -44$\)
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Complete question:
Evaluate the determinant of the matrix A using cofactor expansion along the first row:
A = |-3 0 7|
| 2 5 1|
|-1 0 5|
B = |3 3 1|
|1 0 -4|
|1 -3 5|
The freshmen competed with the sophomores to see who could raise the most money by recycling. The appropriate design for testing the significance of the difference between the means is
Answer:
Independent-samples t-test.
Step-by-step explanation:
We are looking for the appropriate design for testing the significance of the difference between the means.
Now, there is a parametric test known as the Independent Samples t Test and what this test does is that it compares the mean of two independent groups in order to find out whether there is statistical evidence that the related population mean is significantly different.
Thus, the test to be used here is Independent-samples t-test.
100 POINTS AND BRAINLIEST!!!! Please EXPLAIN how you got the answer
9514 1404 393
Answer:
D) $304.47
Step-by-step explanation:
The value of the account is found using the compound interest formula:
A = P(1 +r/n)^(nt)
where interest rate r compounded n times per year for t years is applied to principal P.
A = $300(1 +0.0148/365)^(365·1) ≈ $304.47
Answer:
D
Step-by-step explanation:
HELPPPPPPPPPPPP[PPPPPP
Answer:
26mm
Step-by-step explanation:
w+10 + w+ 20 = 144/3
3w+30 = 48
3w = 18
w=6
longest side is 6+20 = 26
5.2x10^3 written in standard
Answer:
5200
Step-by-step explanation:
\(\huge {\red{5.2 \times {10}^{3}}} = \orange {5200} \)
What is the slope of the graph of 5x-2y=20 ?
A:
-10
B:-2 over 5
C:5 over 2
D:
5
Which expression has a value of 35 when p = 7?
Answer:
B) 5p
Step-by-step explanation:
If you substitute 7 in for each equation you will see that the answers are either 7, 38, or 32, which are not 35. But when you substitute 7 in for B, 5(7), and multiply it out you get 35. I hope this helps :)
3/12 + 7/12 =
A) 5/6
B) 10/24
C) 5/24
D) 1/6
Answer:
A. 5/6
Step-by-step explanation:
Since our denominators match, we can add the numerators.
3 + 7 = 10
So 10/12 the answer but simplified would give 5/6
Find two positive angles and two negative angles that are coterminal with the given angle.
5pi/4
7pi/6
We have found two positive and two negative coterminal angles for each given angle.
For 5pi/4, two positive angles that are coterminal would be 13pi/4 and 21pi/4. Two negative angles that are coterminal would be -3pi/4 and -11pi/4.
For 7pi/6, two positive angles that are coterminal would be 19pi/6 and 31pi/6. Two negative angles that are coterminal would be -5pi/6 and -17pi/6.
In general, to find angles that are coterminal with a given angle, add or subtract 2pi (or a multiple of 2pi) until the angle falls within the range of 0 to 2pi.
For the given angles, 5π/4 and 7π/6, we can find coterminal angles by adding or subtracting multiples of 2π.
For 5π/4:
Positive coterminal angles: (5π/4 + 2π) = 13π/4, (5π/4 + 4π) = 21π/4
Negative coterminal angles: (5π/4 - 2π) = -3π/4, (5π/4 - 4π) = -11π/4
For 7π/6:
Positive coterminal angles: (7π/6 + 2π) = 19π/6, (7π/6 + 4π) = 31π/6
Negative coterminal angles: (7π/6 - 2π) = -5π/6, (7π/6 - 4π) = -17π/6
Thus, we have found two positive and two negative coterminal angles for each given angle.
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research that provides data which can be expressed with numbers is called
Research that provides data which can be expressed with numbers is called quantitative research.
Quantitative research is a type of research that focuses on gathering and analyzing numerical data. It involves collecting information or data that can be measured and quantified, such as numerical values, statistics, or counts. This research method aims to objectively study and understand phenomena by using mathematical and statistical techniques to analyze the data.
Quantitative research typically involves the use of structured surveys, experiments, observations, or existing data sources to gather information. Researchers often employ statistical methods to analyze the data and draw conclusions or make predictions based on the numerical findings.
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We can use a normal probability model to represent the distribution of sample means for which of the following reasons? Check all that apply. the sample is randomly selected the distribution of the variable in the population is normally distributed the sample size is large enough to ensure that sample means will be normally distributed
All three reasons (1, 2, and 3) can be valid for using a normal probability model to represent the distribution of sample means.
1, 2, and 3 are correct.We can use a normal probability model to represent the distribution of sample means for the following reasons:
1. The sample is randomly selected. This ensures that each member of the population has an equal chance of being selected, reducing potential biases and allowing the use of a normal probability model.
2. The distribution of the variable in the population is normally distributed. When the population distribution is normal, the distribution of sample means will also be normally distributed, as stated by the Central Limit Theorem.
3. The sample size is large enough to ensure that sample means will be normally distributed. As the sample size increases, the distribution of sample means approaches a normal distribution, even if the original population distribution is not normal. This is also part of the Central Limit Theorem, which typically suggests a sample size of 30 or more.
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How many sides does a rectangular pyramid
Answer:
Step-by-step explanation:
A rectangular pyramid has five sides. It consists of a rectangular base and four triangular faces that meet at a common vertex or apex.
≧◉◡◉≦
a tiny house has a length of 25 feet. the width of the kitchen is 3 feet, and the width of the remain space is 12 feet. which expression represents the area of the tiny house?
Answer:
I'm not good at Math, so I'm not gonna be like give me brainiest, but I try to help. I think the answer would be D. 25(3+12) this mean add 12+3=15 15*25= 375, but it does not ask you to solve, but if you have 3 feet for the kitchen a 12 feet is remaining size and the house is 25 15 is not yet 25 so you would multiply.
Step-by-step explanation:
I hope this helps.
Answer:
It is D
Step-by-step explanation:
25(3+12)
I hope this helps, Have a good day!
over the past several years, a random sample of 40 women athletes at the school showed that 23 eventually graduated. does this indicate that the population proportion of women athletes who graduate from the university is now less than 67%? use a 1% level of significance.
The population proportion of women athletes who graduated from the university is more than 67%.
A random sample of 40 women athletes at the school showed that 23 eventually graduated.
n=40 , X=23 , p0 =67% = 0.67 , alpha = 1% = 0.01
H0: : p0 = 0.67 Vs H1 : p0 < 0.67
Test statistics = (p-p0) / (square root ((p0(1-p0) / n))
p=X/n
H0::p0=0.67 Vs H1:p0<0.67
Test statistics = z = (p-p0) / ( square root ((p0(1-p0)/n))
p=X/n=23/40
z = (0.575-0.67) / (square root (0.67(1-0.67)/40))=-1.278
P - value = P(z < -1.278) = 0.1007
Since the p-value is 0.1007 that is less than the level of significance the decision is to reject the null hypothesis. In conclusion, there is a sufficient evidence to support that the population proportion of women athletes who graduated is now more than 67%.
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Garry is studying a square pyramid and wants to draw a net of the figure to help determine its surface area. Which net represents a square pyramid?
The correct net that represents a Square pyramid is Option B.
A net is a two-dimensional pattern that can be folded into a three-dimensional figure. To draw a net of a square pyramid, we need to create a two-dimensional pattern that includes a square base and four triangular faces that meet at a common vertex.
Option A: This net has a square base, but it has three triangular faces and one trapezoidal face. Therefore, it does not represent a square pyramid.
Option B: This net has a square base and four triangular faces that meet at a common vertex. Therefore, it represents a square pyramid.
Option C: This net has a triangular base, so it does not represent a square pyramid.
Option D: This net has a square base, but it has six triangular faces that do not meet at a common vertex. Therefore, it does not represent a square pyramid.
Therefore, the correct net that represents a square pyramid is Option B.
It's important to note that there may be different ways to draw a net for a square pyramid, as long as the net includes a square base and four triangular faces that meet at a common vertex. However, Option B is a valid net for a square pyramid and represents the figure accurately.
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PLEASE HELP
Find the lateral area of this cone. Leave your answer in terms of pi
Answer:
Area of lateral = π x radius x slanted height
You are given 12 as height so find the slanted height by pythagoras
144+25= √169= 13
π x 5 x 13 = 65π
Hope that answers your question, your welcome
which line is perpendicular to a line that has a slope of 1/2
Answer:
It’s line AB
Step-by-step explanation:
The equation for like AB is y=1/2x+0 and is perpendicular to HJ
PLEASE HELP!!!!!!!!!!!!!!!
Answer:
27.6%
Step-by-step explanation:
See the attached worksheet. Find the total number of marbles (29) and then take the green marbles and divide by the total and multiply by 100%. (8/29)*(100%) = 27.6% to the nearest tenth.
helppp pleaseeeeee I don’t understand
Answer: x=32, y=45, z=45
Step-by-step explanation:
Now, x is cut in half on a flat plane which is a supplementary angle (2 angles that add up to 180 degrees) so just subtract 148 from 180 and you get 32.
Since a line cuts y and z equally in half and the line it is connected to is perpendicular (right angle), we can safely say both angles are equal to 45 degrees.
PLSSS HELP ASAP & plsss SHOW WORK PLS AND TYY
if TV=14x-8, find TU
Answer:
\(x = 3\)
Step-by-step explanation:
\(tu = tv - uv \\ tu = (14x - 8) - 5 \\ tu = 14x - 13 \: - - - (1) \\ \\ tu = 9x + 2 \: - - - (2) \\ \\ sub \: (1) \: into \: (2) \\ \\ 14x - 13 = 9x + 2 \\ 14x - 9x = 2 + 13 \\ 5x = 15 \\ x = \frac{15}{5} \\ x = 3\)
Find the slope of ( 2 , 4 ) and ( 6 , 12 )
A. 1/2
B. 2
C. -1/2
D. -2
Answer:
A
Step-by-step explanation:
12-4/6-2=8/4=2/1
easy please helppp match the following defintion with the correct term: the vertical distance between two points on a line
1. run
2. rate of run
3. slope
4. rise
Answer:
4. rise
match the following definition with the correct term:
the vertical distance between two points on a line
1. run
2. rate of run
3. slope
4. rise
Select all the angles of rotation that produce symmetry for this flower.
Answer:
Angles of rotation that produce symmetry are the angles that we can rotate the image, and the end result will be the starting image. (the angles are always measured from the x-axis)
Here we can clearly see that in each quadrant we have a petal of the flower.
Then the angles that change one quadrant into other quadrant will produce symmetry.
Those angles are:
90°, 180°, 270°, 360°, etc.
We can define the set of those angles as:
A {n*90° I n ∈ Z}
Where is point A located on the coordinate grid below?У4A2-41-2O24-2-4O Quadrant 11Quadrant IIIQuadrant !
Answer
Quadrant I
Step-by-step explanation
Hence, point A is located on the Quadrant I
There are 28 brown ducks swimming in a pond. Twice as many white ducks flew in and landed in the pond. Then half of the ducks flew away. How many ducks remained in the pond?
Answer:
42 ducks remain in the pond
Step-by-step explanation:
First, find the number of white ducks
28*2=56
Add them to the brown ducks
56+28= 84
Then divide by 2 because half flew away
84/2=42
So 42 ducks remain in the pond. Hope this helps :)
An internal firewall sits at the boundary between the corporate site and the internet. true false
An internal firewall sits at the boundary between the corporate site and the internet. This statement is False.
A firewall is a security system designed to protect computer networks from unauthorized access. Firewalls are hardware, software, or a combination of both that act as a shield between an organization's internal network and the outside internet or other untrusted networks. It can also be used to separate an internal network from other internal networks.
Internal firewalls are utilized to improve an organization's security posture by segregating sensitive systems or networks from less sensitive systems. For example, one of the internal firewalls may be used to separate the accounting department's systems from the systems used by other departments to ensure that accounting information is only accessible by authorized individuals.
The statement that an internal firewall sits at the boundary between the corporate site and the internet is not true as it refers to an external firewall. The internal firewall is used to separate sensitive systems and networks from less sensitive ones, which helps to enhance the security of an organization.
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