Answer:
I assume you are trying to find the area of it, then it would be 182m.^2
Rewrite the polynomial in the form ax² + bx+c and then identify the values of a,
b, and c.
x
6
4x² +1
9 of david's chickens lay eggs every day. 5of the chickens never lay any eggs. what fraction of the chickens lay eggs irregulary?
The required fraction of chicken,whose are laying eggs irregularly.
How to deal with the fraction?Multiply the numerators and denominators independently to track down the item. At the point when you need to duplicate divisions, increase the 2 numerators together first and compose it on top. Then duplicate the denominators together and compose it on the lower part of the portion. Work on your response in the event that you would be able so it is in the least terms.
According to question:9/15 chickens are laying eggs regularly and 2/15 chickens never lay eggs.
Then,fraction of chicken
1 - 9/15 - 2/15
15 - 9 - 2/15
4/15
Thus, the fraction of chicken are 4/15
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Correct question:
9/15 of David's chickens lay
eggs every day. 2/15 of the chickens never lay any eggs. What fraction of the chickens lay eggs irregularly.
let f be the function given by and g be the function given by . find the first four nonzero terms and the general term for the power series expansion of f(t) about t
The Taylor series formula in summation notation f(t) = Σ[n=0 to infinity] { (1/n!)f^n(a)(t-a)^n } where f^n(a) denotes the nth derivative of f(t) evaluated at t = a.
Since the functions f(t) and g(t) have not been given in the question, I cannot provide a specific answer to this question. However, I can provide a general approach to finding the power series expansion of a function about a point.
To find the power series expansion of a function f(t) about a point t = a, we can use the Taylor series formula:
f(t) = f(a) + f'(a)(t-a) + (1/2!)f''(a)(t-a)^2 + (1/3!)f'''(a)(t-a)^3 + ...
where f'(a), f''(a), f'''(a), ... are the first, second, third, and higher-order derivatives of f(t) evaluated at t = a.
To find the first four nonzero terms of the power series expansion, we can calculate the values of f(a), f'(a), f''(a), and f'''(a) at t = a, substitute them into the Taylor series formula, and simplify the resulting expression. The first four nonzero terms will be the constant term, the linear term, the quadratic term, and the cubic term.
To find the general term of the power series expansion, we can write the Taylor series formula in summation notation:
f(t) = Σ[n=0 to infinity] { (1/n!)f^n(a)(t-a)^n }
where f^n(a) denotes the nth derivative of f(t) evaluated at t = a. The general term of the power series expansion is given by the expression in the curly braces. We can use this expression to find any term in the series by plugging in the appropriate values of n and f^n(a).
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Help please show work or tell me how
Does someone mind helping me with this? Thank you!
For all values of x greater than or equal to -2, the function f(x) = √(x + 2) + 2 will yield real outputs. So, x = -2.
How to find the Output Value of a Function?To determine the input value at which the function f(x) = √(x + 2) + 2 begins to have real outputs, we need to find the values of x for which the expression inside the square root is non-negative. In other words, we need to solve the inequality x + 2 ≥ 0.
Subtracting 2 from both sides of the inequality, we get:
x ≥ -2
Therefore, the function f(x) = √(x + 2) + 2 will have real outputs for all values of x greater than or equal to -2.
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Finding an Unknown Side Length in a Right
WARM-UP Triangle
B
Find the approximate value of a.
4.69 in.
5.09 in.
O
11.05 in.
12 in
30.71 in.
DONE
23°
A
Therefore, the approximate value of AC is 4.69 in.
An approximate value by defect of a number is a value that is close to this number, less than it, as close as possible, and with a requested level of precision. The number 3.1415 is an approximate value by defect of the number π.
Given a right triangle ABC with AB as the hypotenuse of length 11.05 in and angle A = 23°.We are required to find the approximate value of AC.Based on the trigonometric ratios for right triangles, we have:
Tan A = Perpendicular/ Base => Perpendicular = Tan A * Base
On substituting the values, we get:
Tan A = AC / AB=> AC = Tan A * AB
On substituting the values, we get:
AC = Tan 23° * 11.05in= 4.69in (approximately)
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In this diagram, lines AB and CD are parallel. D B Angle ABC measures 35 degrees and angle BAC measures 115 degrees. a. What is m ZACD b. What is mZDCB c. What is mZACB
|CD| is parallel to |AB|
\(\angle ACD=\angle ACB+\angle DCB\)\(\begin{gathered} ACBisatriangle.Thesumofanglesinatriangleis180^o. \\ \angle ACB+\angle ABC+\angle BAC=180^o \\ \angle ACB=180^o-35^o-115^o \\ \angle ACB=30^o \end{gathered}\)Also;
\(\begin{gathered} S\text{ ince CD and AB are parallel;} \\ \angle DCB=\angle ABC\text{ (because alternate angles are equal)} \\ \angle DCB=35^o \end{gathered}\)\(\begin{gathered} \angle ACD=\angle ACB+\angle DCB \\ \angle ACD=30^o+35^o \\ \angle ACD=65^o \end{gathered}\)ANSWERS:
(a) The measured angle ACD is 65degrees
(b) The measured angle DCB is 35degrees
(c) The measured angle ACB is 30 degrees
A Ph.D. graduate has applied for a job with two universities: A and B. The graduate feels that she has a 60% chance of receiving an offer from university A and a 50% chance of receiving an offer from university B. If she receives an offer from university B, she believes that she has an 80% chance of receiving an offer from university A.
a) What is the probability that both universities will make her an offer?
b) What is the probability that at least one university will make her an offer?
The probability of both events happening is 0.6 × 0.5 = 0.3, or 30%, and the probability that at least one university will make an offer is 1 - 0.2 = 0.8, or 80%.
The probability that both universities will make an offer can be found by multiplying the probabilities of each event happening. The probability of receiving an offer from university A is 0.6, and the probability of receiving an offer from university B is 0.5. Therefore, the probability of both events happening is 0.6 × 0.5 = 0.3, or 30%.
The probability that at least one university will make an offer can be found by subtracting the probability that neither university will make an offer from 1. The probability that neither university will make an offer is the product of the probabilities that each university will not make an offer, which is 0.4 × 0.5 = 0.2, or 20%. Therefore, the probability that at least one university will make an offer is 1 - 0.2 = 0.8, or 80%.
Overall, the probability that the graduate will receive an offer from both universities is 30%, and the probability that she will receive an offer from at least one university is 80%.
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Create an equivalent expression for 1.5 cubed over 1.3 raised to the fourth power all raised to the power of negative six.
1.3 squared over 1.5 cubed
1.3 to the twenty-fourth power over 1.5 to the eighteenth power
1.5 cubed over 1.3 squared
1.5 to the eighteenth power over 1.3 to the twenty-fourth power
The equivalent expression for 1.5 cubed over 1.3 raised to the fourth power all raised to the power of negative six is 1.5 to the eighteenth power over 1.3 to the twenty-fourth power.
How to explain the expressionHere are the steps to simplify the expression:
Apply the negative power rule: (1.5 cubed over 1.3 raised to the fourth power) raised to the power of negative six is equal to (1.3 raised to the fourth power over 1.5 cubed) raised to the power of six.
Apply the power of a quotient rule: (1.3 raised to the fourth power over 1.5 cubed) raised to the power of six is equal to (1.3 raised to the fourth power)⁶ / (1.5 cubed)⁶.
Apply the power of a power rule: (1.3 raised to the fourth power)⁶ is equal to 1.3(⁴*⁶) = 1.3²⁴.
Apply the power of a power rule: (1.5 cubed)⁶ is equal to 1.5(³*⁶) = 1.5¹⁸.
Therefore, the equivalent expression is 1.5¹⁸ / 1.3²⁴.
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Write an equation for a line parallel to y=2x−1 and passing through the point (2,1)
Answer:
y = 2x-3
Explanation:
By definition, two lines are parallel if they have the same slope.
Given the equation for a line:
\(y=2x-1\)Comparing the given line with the slope-intercept form of a line:
\(\begin{gathered} y=mx+b \\ \implies\text{Slope of the line, m=2} \end{gathered}\)Thus, we want to find the equation of the line with the following properties:
• Slope: m = 2
,• Point: (x1,y1)=(2,1)
In order to do this, we employ the use of the point-slope form of the equation of the line:
\(\begin{gathered} y-y_1=m\mleft(x-x_1\mright) \\ \implies y-1=2(x-2) \end{gathered}\)We then simplify:
\(\begin{gathered} y-1=2x-4 \\ Add\text{ 1 to both sides of the equation} \\ y-1+1=2x-4+1 \\ y+0=2x-3 \\ y=2x-3 \end{gathered}\)The equation of the parallel line is y=2x-3.
use a linear approximation (or differentials) to estimate the given number.
Using linear approximation, the estimated distance the boat will coast is approximately 266 feet. (Rounded to the nearest whole number.)
To estimate the distance the boat will coast using a linear approximation, we can consider the average velocity over the given time interval.
The initial velocity is 39 ft/s, and 9 seconds later, the velocity decreases to 20 ft/s. Thus, the average velocity can be approximated as:
Average velocity = (39 ft/s + 20 ft/s) / 2 = 29.5 ft/s
To estimate the distance traveled, we can multiply the average velocity by the time interval of 9 seconds:
Distance ≈ Average velocity * Time interval = 29.5 ft/s * 9 s ≈ 265.5 ft
Using linear approximation, we estimate that the boat will coast approximately 266 feet.
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A crime is committed by one of two suspects, A and B. Initially, there is equal evidence against both of them. In further investigation at the crime scene, it is found that the guilty party had a blood type found in 10% of the population. Suspect A does match this blood type, whereas the blood type of Suspect B is unknown, then the probability that A is the guilty party, is:______.a. 3/5.b. 5/6.c. 1/3.d. 2/3.
The probability that Suspect A is the guilty party is 2/3.
Suppose a crime is committed by one of the two suspects A and B. Initially, there is equal evidence against both of them. Further, in the investigation, it is found that the guilty party had a blood type found in 10% of the population. Suspect A does match this blood type, whereas the blood type of Suspect B is unknown.The probability that A is the guilty party is calculated as follows:
Let P(A) be the probability that A is guilty, and P(B) be the probability that B is guilty.As there is an equal amount of evidence against both suspects, both P(A) and P(B) are equal and can be expressed as P(A) = P(B) = 1/2.Let the probability of the blood type of a guilty party be X.
Since Suspect A's blood type matches the guilty party's blood type, the probability that he is the guilty party is P(X | A) = 1.Since Suspect B's blood type is unknown, we must take into account the possibility of him being the guilty party despite not matching the guilty party's blood type.
As a result, the probability that he is the guilty party is P(X | B) = 0.1.
The probability that the guilty party has blood type X can be expressed as:P(X)
= P(A) P(X | A) + P(B) P(X | B)P(X) = 1/2 × 1 + 1/2 × 0.1P(X) = 0.55
Using Bayes' theorem, we can calculate the probability that Suspect A is the guilty party:
P(A | X) = P(X | A) P(A) / P(X)P(A | X) = 1 × 1/2 / 0.55P(A | X) = 0.9091 ≈ 2/3.
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If these two trapezoids are similar, what is the measure of the missing angle?
Answer:
90
Step-by-step explanation:
The angle has no tilt, only a turn, and i used a ruler, and the rulers meet as an L, making it a 90
Francisco makes $14 per hour doing part-time work on Saturdays. He spends $3 on
transportation to and from work. The equation y = 14x - 3 gives his earnings y, after
transportation costs, for working x hours. Complete the table of values for this situation.
x (number of hours)
2
3
4
5
y (earnings in dollars)
Answer:
x = 2, y = 23
x = 3, y = 39
x = 4, y = 56
x = 5, y = 67
Step-by-step explanation:
Given:
14x - 3 where $14 is per hours on part-time work and $3 is cost to and from work.
y = 14(2) - 3
y = 28 - 3
y = 23
y = 14(3) - 3
y = 42 - 3
y = 39
y = 14(4) - 3
y = 56 - 3
y = 53
y = 14(5) - 3
y = 70 - 3
y = 67
x = 2, y = 23
x = 3, y = 39
x = 4, y = 56
x = 5, y = 67
a quality control inspector wants to test whether the average weight of product on the line has varied from the specified value of 16 ounces. he takes a simple random sample of 100 products and obtains a mean of 16.3 and a standard deviation of 2.5. what are the hypotheses of this test?
Answer: The hypotheses of this test are:
Null hypothesis: The average weight of the product on the line is equal to the specified value of 16 ounces.
Alternative hypothesis: The average weight of the product on the line is different from the specified value of 16 ounces.
Step-by-step explanation:
HELLPPP URGENT NOOWWW IMPORTANT
The Hiking Club plans to go camping in a State park where the probability of rain on any given day is 2/3. What is the probability that it will rain on at least two of the five days they are there? Round your answer to the nearest thousandth.
The probability of rain on any given day is 2/3, so the probability of no rain is 1/3.
Using the binomial distribution formula, we can find the probability of it raining on exactly two, three, four, or five days:
P(X = 2) = (5 choose 2) * (2/3)^2 * (1/3)^3 = 10 * 4/9 * 1/27 = 40/243
P(X = 3) = (5 choose 3) * (2/3)^3 * (1/3)^2 = 10 * 8/27 * 1/9 = 80/243
P(X = 4) = (5 choose 4) * (2/3)^4 * (1/3)^1 = 5 * 16/81 * 1/3 = 80/243
P(X = 5) = (5 choose 5) * (2/3)^5 * (1/3)^0 = 1 * 32/243 * 1 = 32/243
To find the probability of it raining on at least two days, we need to add up the probabilities of it raining on two, three, four, or five days:
P(X >= 2) = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)
P(X >= 2) = 40/243 + 80/243 + 80/243 + 32/243
P(X >= 2) = 232/243
Therefore, the probability that it will rain on at least two of the five days they are there is 0.954 (rounded to the nearest thousandth).
To find the probability of it raining on at least two of the five days the Hiking Club is camping, we can use the complementary probability method. We'll first find the probability of the opposite event (it raining on 0 or 1 day), and then subtract that from 1.
Probability of no rain on any day: (1/3)^5
Probability of rain on exactly 1 day: 5 * (2/3)^1 * (1/3)^4
Now, we add the two probabilities and subtract from 1:
1 - [(1/3)^5 + (5 * (2/3)^1 * (1/3)^4)] ≈ 0.993
Therefore, the probability of it raining on at least two of the five days is approximately 0.993, or 99.3%.
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in the quadrant you start at (2,6) and move 5 units right what point will end up on?
Answer:
(7,6)
Step-by-step explanation:
Add 5 to the x-value of the point.
I want to buy a new Harley in four years when I get out of school-I estimate it will cost $22,000 - at 51/4% interest for the next four years how much do I need to deposit today 22,0001(1+5,4%)4=$17928.09 - A small business is for sale that will yield a profit of $30,000 per year for 10 yeass- 1 need to make 8% per year on my investment - How much can I pay for this business - The uame business is for sale and my competitor only wants to make 7K% on his investment-how much is he willing to pay - I Inheritod 1,000,000-1 don't want to ever work again- 1 buy an ennulty that pays 8% for 25 yean - how much income will 1 reeeive for the next 25 yean I - My brother also got 1,000,000 - be has his inventod for 25 yean at 94% - how much will he receive every year
To deposit enough today to buy a $22,000 Harley in four years at 5.14% interest, you would need to deposit approximately $17,928.09.
To calculate the present value of a future amount, we can use the formula:
PV = FV / (1 + r)^n
Where:
PV = Present Value (the amount you need to deposit today)
FV = Future Value (the cost of the Harley)
r = Interest rate per period (converted to decimal form)
n = Number of periods (years)
In this case, FV = $22,000, r = 5.14% (or 0.0514), and n = 4. Plugging these values into the formula, we get:
PV = 22,000 / (1 + 0.0514)^4
= 22,000 / (1.0514)^4
≈ 17,928.09
Therefore, you would need to deposit approximately $17,928.09 today to have enough to buy the Harley in four years, considering the given interest rate.
Please note that this calculation assumes compound interest, where the interest is compounded annually.
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Please Answer! Will Give Thanks and Brainliest!
Solve the picture below please!
Answer:
2nd and 3rd options
Step-by-step explanation:
Hello, I gotta turn it turn in this question today, help!!!!!!
Answer:
2 or -2
Step-by-step explanation:
If x² - 8x = -12
Step 1
We find x by solving
x² - 8x = -12
We equate to zero
x² - 8x + 12 = 0
We factorise
x² - 6x - 2x + 12 = 0
x(x - 6) -2(x - 6) = 0
(x - 6) (x - 2) = 0
x - 6 = 0, x = 6
x - 2 = 0, x = 2
x = 6 or 2
Step 2
What is x - 4?
When x = 6
= 6 - 4 = 2
When x = 2
= 2 - 4 = -2
Therefore, x - 4 = 2 or -2
John spent $75 on a shopping trip for new clothes last week. He had expected to spend $100 on clothes,
Approximate Value Exact Value Error Absolute Error Ratio Percent Error
$100
$75
$25
How much was the absolute error in his estimate?
$
Intro
Answer:
Absolute error = $25
Step-by-step explanation:
Given that:
Amount spent by John on shopping trip = $75
Estimated amount to spent on shopping trip = $100
Absolute error = Approximate value - Exact value
Here,
Approximate value = $100
Exact value = $75
Absolute error = 100 - 75
Absolute error = $25
Percentage = \(\frac{Absolute\ error}{Exact\ value}*100\)
Percentage = \(\frac{25}{75}*100\)
Percentage = 33.33%
Hence,
Absolute error = $25
Roll 4 fair six-sided dice. Let X be the value of the lowest die.
Prove that E(X) = (2275/1296)
Hint: For a given k, what is P r(X = k)?
Please show all work
Answer:It is given b the x2 of the anwserr fot the firghjt angle
Step-by-step explanation:
question in the screenshot
The area of any given circle can be found with the following formula;
\(A=\pi r^2\)The letter \(r\) in this formula represents the radius of the given circle.
The figure shows one full circle and one half circle.
The colored area represents the difference of the area of the half circle from the area of the full circle.
Therefore, our mission is to subtract the area of the full circle from half the area of the half circle.
First, let's find the area of the semicircle. If its diameter is \(24\) millimeters, its radius must be \(12\) millimeters.
\(A_{half}=\frac{\pi r^2}{2} =\frac{\pi (12mm)^2}{2}=(72\pi)mm^2\)Similarly, the diameter of the full circle inside is the radius of the half circle. This is because the full circle fits inside the half circle and is tangent to it.
\(A_{full}=\pi r^2=\pi (6mm)^2=(36\pi)mm^2\)The difference of these two numbers will give us the shaded area.
\((72\pi )mm^2-(36\pi )mm^2=(36\pi )mm^2\)Answer: \(36\pi\)
Unit: \(mm^2\)
The lengths of the legs of a right triangle are 6 cm and 8 cm What is the length of the hypotenuse?
Answer:
The hypotenuse is 10 cm long.
Step-by-step explanation:
We can find the hypotenuse by using the following formula where "c" is the length of the hypotenuse and "a" and "b" are the lengths of the legs.
\(c = \sqrt{a^{2} + b^{2} }\)
Now we just substitute the values and get...
\(c = \sqrt{a^{2} + b^{2} }\\c = \sqrt{6^{2} + 8^{2} } \\c = \sqrt{36 + 64} \\c = \sqrt{100} \\c = 10\)
Therefore the hypotenuse is 10 cm long.
instantaneous velocity can be positive, negative, or zero.a. trueb. false
True. Instantaneous velocity is the rate of change of displacement at a specific instant in time and can be positive, negative, or zero.
Calculating instantaneous velocity involves dividing the displacement change by the time change. A car's instantaneous velocity, for instance, would be 5/3 metres per second if it travelled 5 metres in 3 seconds.The rate of change of displacement at a particular moment in time is known as the instantaneous velocity. It is the speed in an instant at a particular location, and it can be positive, negative, or zero. The change in displacement (delta x) is divided by the change in time to determine instantaneous velocity. A car's instantaneous velocity, for instance, would be 5/3 meters per second if it travelled 5 meters in 3 seconds.
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The makers of Mini-Oats cereal have an automated packaging machine that is set to fill boxes with 24.3 ounces of cereal (as labeled on the box). At various times in the packaging process, we select a random sample of 100 boxes to see if the machine is (on average) filling the boxes as labeled. On Tuesday morning, at 7:45 a.m., a random sample of 100 boxes produced an average amount of 23.6 ounces. Which of the following is an appropriate statement of the null hypothesis?
A) The machine fills the boxes with the proper amount of cereal.
B) The average is 24.3 ounces (H0: μ = 24.3)
C) The machine is not filling the boxes with the proper amount of cereal (H0: μ ≠ 24.3 ounces).
D) The machine is not putting enough cereal in the boxes.
E) The average is less than 24.3 ounces (H0: μ < 24.3).
F) The machine fills the boxes with an average of 23.6 ounces (H0: μ = 23.6).
Answer:
B.
Step-by-step explanation:
The null hypothesis will say that the mean is equal to what it is supposed to be. In this case, each box is supposed to have 24.3 ounces of cereal.
So, your null hypothesis would be that the average is equal to 24.3, or H₀ = 24.3. B.
Hope this helps!
PLS HELPPPPP!!!!!!!!
Answer:
7) 7500m
8) 4cm
..........
Which equation represents the parabola shown on the graph?
y2 = 1.5x
x2 = 1.5y
y2 = 6x
x2 = 6y
The equation represents the parabola is x² = 6y.
What is Equation of Parabola?Any point on a parabola is at an equal distance from both the focus, a fixed point, and the directrix, a fixed straight line. A parabola is a U-shaped plane curve. The topic of conic sections includes parabola, and all of its principles are discussed here.
The general equation of a parabola is given by y = a(x – h)² + k
We have equations.
The graph's parabola is a vertical parabola that is open vertically and has its vertex at the origin.
So, the equation of the parabola is equal to
x² = 4ay...............(1)
and, the equation of the directrix is y= -a.
her, the directrix is y= -1.5
Now, the equation for the parabola is
x² = 4(1.5)y
x² = 6y
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Abigail and Liza work as carpenters for different companies. Abigail earns $20
per hour at her company and Liza earns $25 per hour at her company. Last
week, Abigail and Liza worked for a total of 30 hours and together earned atotal of $690. How many hours did Liza work last week?
Answer as detailed as possible. Thanks :)
Answer:
L = 18 = hours worked by Lisa
a = 12 = hours worked by Abigail
Step-by-step explanation:
Given the following :
Abigail's earning = $20
Lisa's earning = $25
Last week :
Let number of hours worked by Abigail = a
Number of hours worked by Lisa = L
Total earning = $690
Total hours worked :
a + L = 30 - - - - (1)
To obtain their total earning:
(Lisa's earning per hour * hours worked) + (Abigail's earning per hour * hours worked)). $690
($25 * L) + ($20 * a) = $690
25L + 20a = 690 - - - - (2)
a + L = 30 - - - - (1)
25L + 20a = 690 - - - - (2)
L = 30 - a
25(30 - a) + 20a = 690
750 - 25a + 20a = 690
-5a = 690 - 750
-5a = - 60
a = 12
From (1)
a + L = 30 - - - - (1)
12 + L = 30
L = 30 - 12
L = 18
L = 18 = hours worked by Lisa
a = 12 = hours worked by Abigail
which choice does not determine the sampling distribution? the population size the population variance the population mean the sample size
The population size does not determine the sampling distribution.
In the give question we have to find which choice does not determine the sampling distribution.
We firstly learn more about sampling distribution
A sampling distribution is a probability distribution of a statistic that is derived from a bigger sample size of individuals chosen at random from a given population. The sampling distribution of a particular population is the distribution of frequencies of a variety of potential outcomes for a population statistic.
So, the population size does not determine the sampling distribution.
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