Answer:
128.605
Step-by-step explanation:
The bottom side has 2 identical trianges, so you can multiply base*height of one of them to get the area of both combined:
\((8.5m)(10.2m)\\86.7m^2\)
Same with the top side:
\((4.93m)(8.5m)\\41.905m^2\)
Add them:
\(86.7m^2+41.905m^2\\128.605m^2\)
What expression
can be used to add 1/2 + 5/6
Answer:
(4/3)
Step-by-step explanation:
1 5
--------- + --------
2 6
1 (3) 5
--------- + --------
2(3) 6
3 5 8
------- + ------- = -------
6 6 6
8 ÷ 2 4
------- = -------
6 ÷ 2 3
I hope this helps!
7pi/6 radians is what in degrees?
Step-by-step explanation:
7pi/6 radians = 7×180° /6 = 210°
If you are solving a linear system by elimination and substitution and you get a true statement, how many solutions does the system have?
Answer: Infinitely many solutions
Explanation:
Let's say we had this system
y = x+5
x-y = -5
Let's replace y with x+5 in the second equation
x-y = -5
x-(y) = -5
x-(x+5) = -5
x-x-5 = -5
0x-5 = -5
0-5 = -5
-5 = -5
We end up with a true statement since we get the same number on both sides. This system has infinitely many solutions. The two equations produce the same straight line graph. Effectively, the two lines overlap perfectly to intersect infinitely many times.
Notice how solving x-y = -5 for y leads to y = x+5. This is more evidence that both original equations are identical (just in different forms).
Find the equation of the axis of
symmetry for this function.
f(x) = -4x² + 8x - 28
Hint: To find the axis of symmetry, use the equation: x =
FR
2a
Simplify your answer completely. Enter
the number that belongs in the green box.
x = [?]
Enter
The equation of the axis of symmetry for the given function is x = 1.
To find the equation of the axis of symmetry for the function f(x) = -4x² + 8x - 28, we can use the formula:
x = -b / (2a)
where "a" and "b" are coefficients in the quadratic equation ax² + bx + c.
In this case, a = -4 and b = 8. Plugging these values into the formula, we get:
x = -8 / (2*(-4))
x = -8 / (-8)
x = 1.
The axis of symmetry for a quadratic function in the form of \(f(x) = ax^2 + bx + c\) can be found using the formula x = -b / (2a).
In the case of the given quadratic function f(x) = -4x² + 8x - 28, the coefficient of \(x^2\) is a = -4 and the coefficient of x is b = 8.
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How do you calculate MLB magic number?
The magic number is calculated as G + 1 − \(W_{A}\) − \(L_{B}\), where G represents the season's overall number of games. The total victory for Team A is represented by the WA. LB is the total number of defeats Team B has suffered this year.
The "magic number" in baseball is used to estimate how likely a club is to advance to the postseason or win the division. Every year, in September, when teams get closer to clinching, it gains attention. The total number of victories and losses that must occur by a team's closest rival in order for that team to achieve a certain goal is known as its magic number. A team's magic number drops by one with each victory. The magic number additionally drops by one each time the team's closest rival for the division (or Wild Card) loses.
This is the precise formula: Games left in season: +1 (Losses by second place team - losses by first place team)
The magic number changes to reflect any further changes in the second-place team.
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Let f be the function defined by f(x)= 1/3 x^3 - 4x^2 - 9x + 5. On which of the following intervals is the graph of f both decreasing and concave down?
The graph of f is both decreasing and concave down on the interval (9, infinity). Therefore, the correct answer is (D).
To determine where the graph of f is both decreasing and concave down, we need to analyze the first and second derivatives of f.
First derivative:
f'(x) = x² - 8x - 9
Second derivative:
f''(x) = 2x - 8
The graph of f is decreasing when f'(x) < 0, and concave down when f''(x) < 0.
To find where the graph of f is both decreasing and concave down, we need to look for where f'(x) < 0 and f''(x) < 0 simultaneously.
f'(x) < 0 when x < -1 or x > 9.
f''(x) < 0 when x < 4.
Therefore, the graph of f is both decreasing and concave down on the interval (9, infinity).
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ACTIVITY 1
Directions: Draw the following quadrilaterals according to its descriptions. Use a ruler.
1. Quadrilateral MATH with no sides are equal.
Name:
2. Quadrilateral HOPE with both pairs of opposite sides are parallel.
Name:
3. Quadrilateral LOVE with four right angles 4. Quadrilateral CARE with all four sides congruent.
Name:
5. Quadrilateral MADE with all four sides congruent and with four right angles.
Name:
6. Quadrilateral KITE with two pairs of congruent and adjacent sides.
Name:
7. Quadrilateral LIKE with exactly one pair of opposite sides parallel.
Name:
Good Perfect Complete=Brainlist
Copy Wrong Plagiarism Incomplete=Report
Good Luck Answer Brainly Users:-)
Answer:
A quadrilateral is a four-sided closed figure with interior angles that add up to 360 degrees. Some common types of quadrilaterals are:
Parallelogram: A quadrilateral with both pairs of opposite sides parallel21.
Trapezoid: A quadrilateral with at least one pair of opposite sides parallel.
Rhombus: A quadrilateral with all four sides congruent and both pairs of opposite sides parallel.
Rectangle: A quadrilateral with four right angles and both pairs of opposite sides parallel.
Square: A quadrilateral with four right angles and all four sides congruent.
Kite: A quadrilateral with two pairs of congruent and adjacent sides1.
Using these definitions, the names of the quadrilaterals in the activity are:
Quadrilateral MATH with no sides are equal.
Name: Scalene quadrilateral (a quadrilateral with no congruent sides or angles).
Quadrilateral HOPE with both pairs of opposite sides are parallel.
Name: Parallelogram.
Quadrilateral LOVE with four right angles.
Name: Rectangle.
Quadrilateral CARE with all four sides congruent.
Name: Rhombus.
Quadrilateral MADE with all four sides congruent and with four right angles.
Name: Square.
Quadrilateral KITE with two pairs of congruent and adjacent sides.
Name: Kite.
Quadrilateral LIKE with exactly one pair of opposite sides parallel.
Name: Trapezoid.
Step-by-step explanation:
Solve for h:
2h-4x=-6y
Please provide steps also
Answer:
h = -3y + 2x
Step-by-step explanation:
Add 4x to both sides of the equation.
2h = −6y + 4x
Divide each term in 2h = −6y + 4x by 2 and simplify.
Divide each term in 2h = −6y + 4x by 2.
2h/2 = -6y/2 + 4x/2
Simplify the left side.
h = −6y/2 + 4x/2
Simplify the right side.
Simplify each term.
Cancel the common factor of −6 and 2.
h = -3y+2(2x)/2
Cancel the common factors.
Factor 2 out of 2.
h = -3y+2(2x)/2(1)
Cancel the common factor
h = -3y+2(2x)/2(1)
Rewrite the expression
h = -3y + 2x/1
Divide 2x by 1.
h = -3y + 2x
hopefully its right LOLZ
Which expression have a quotient of -4? Select all that apply.
a. -24/6
b. -36 divided by -9
c. -72 divided by 18
d. 84/-21
Answer:
B
Step-by-step explanation:
The basic present value equation has four parts. Which of the following best describes these four parts?
Group of answer choices
O a. Past value, present value, future value, and discount rate.
O b. Present value, future value, discount rate, and the life of the investment.
O c. Compound value, life of the investment, discount rate, and historical value.
O d. None of the above.
The basic present value equation includes the present value, future value, discount rate, and the life of the investment.
The basic present value equation is a financial concept used to determine the value of an investment or cash flow in today's dollars. It involves four key components
1. Present value, This represents the current worth of an investment or cash flow. It takes into account the time value of money, which means that a dollar received in the future is worth less than a dollar received today. The present value is calculated by discounting future cash flows using an appropriate discount rate.
2. Future value, This refers to the expected value of an investment or cash flow at a future point in time. It represents the amount of money that an investment will grow to over a specific period, taking into consideration factors such as interest or investment returns.
3. Discount rate, The discount rate is the rate of return or interest rate used to determine the present value of future cash flows. It reflects the opportunity cost of investing in a particular investment or project. The discount rate takes into account factors such as the riskiness of the investment, inflation, and alternative investment opportunities.
4. Life of the investment, This represents the duration or time period over which the investment or cash flow will occur. It is important to consider the length of time involved as it affects the magnitude and timing of cash flows, which in turn impacts the present value calculation.
By considering these four components - present value, future value, discount rate, and the life of the investment - the basic present value equation allows individuals and businesses to assess the current worth of future cash flows and make informed financial decisions.
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Annie wins 70% of her tennis matches. Assuming each match is an independent random event, we can model Annie's tournaments using a binomial distribution. On a weekend tournament where she plays 8 matches: i) The probability that Annie wins 4 matches is exactly A which to two decimal places is approximately ii) The probability that she wins fewer than three matches is exactly which to two decimal places is approximately
In a weekend tournament where Annie plays 8 matches, the probability that she wins exactly 6 matches is approximately 0.2816, rounded to four decimal places. The probability that she wins fewer than three matches is approximately 0.2150, also rounded to four decimal places.
To calculate the probability, we can use the binomial distribution formula. The probability of winning a single match is given as 70% or 0.7. Therefore, the probability of losing a match is 1 - 0.7 = 0.3. In a binomial distribution, we consider the number of successes (matches won) in a fixed number of trials (total matches played). In this case, the total matches played is 8.
For the first question, we want to find the probability of winning exactly 6 matches. Using the binomial distribution formula, we can calculate it as follows: P(X = 6) = binomial(8, 6) × (0.7)⁶ × (0.3)⁽⁸⁻⁶⁾. This evaluates to approximately 0.2816.
For the second question, we want to find the probability of winning fewer than three matches. We sum the probabilities of winning 0, 1, and 2 matches. P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2). This evaluates to approximately 0.2150.
Therefore, the probability that Annie wins exactly 6 matches is approximately 0.2816, and the probability that she wins fewer than three matches is approximately 0.2150.
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The complete question is:
Annie wins 70% of her tennis matches. Assuming each match is an independent random event, we can model Annie's tournaments using a binomial distribution. On a weekend tournament where she plays 8 matches: which to two i) The probability that Annie wins 6 matches is exactly decimal places is approximately Number ii) The probability that she wins fewer than three matches is exactly which to two decimal places is approximately Number a Note: the Maple notation for the binomial coefficient is binomial (a,b). b
a1 =4 and an=-1+1 then find the value of a5
The value of a5 is 8.
Given that,
a₁ = 4
aₙ = aₙ₋₁ + 1
So, we can find the second term a₂ using the equation of nth term,
a₂ = a₍₂₋₁₎ + 1
a₂ = a₁ + 1
Applying the value of a₁,
a₂ = 4 + 1
a₂ = 5
So, finding the value of a₃,
a₃ = a₍₃₋₁₎ + 1
a₃ = a₂ + 1
a₃ = 5 + 1
a₃ = 6
So, the value of a₄ will be,
a₄ = a₃ + 1 = 6 + 1
a₄ = 7
Therefore,
a₅ = a₄ + 1 = 7 + 1
a₅ = 8
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Help!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer and Step-by-step explanation:
0 to the power of 4 is 0.
#teamtrees #PAW (Plant And Water)
Formalize the following in terms of atomic propositions r, b, and w, first making clear how they correspond to the
English text. (a) Berries are ripe along the path, but rabbits have not been seen in the area.
(b) Rabbits have not been seen in the area, and walking on the path is safe, but berries are ripe along the path.
(c) If berries are ripe along the path, then walking is safe if and only if rabbits have not been seen in the area.
(d) It is not safe to walk along the path, but rabbits have not been seen in the area and the berries along the path are ripe.
e) For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to
pave been seen in the area.
Walking is not safe on the path whenever rabbits have been seen in the area and berries are ripe along the path.
Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path. This is formalized by using the →(if-then) and ∧(logical and) operators.
Given information and corresponding atomic propositions:
We need to formalize the given statements in terms of atomic propositions r, b, and w, which are defined as follows:
r: Rabbits have been seen in the area.
b: Berries are ripe along the path.
w: Walking on the path is safe.
Now, let us formalize each of the given statements in terms of these atomic propositions:
a) Berries are ripe along the path, but rabbits have not been seen in the area.
b: Rabbits have not been seen in the area, and walking on the path is safe, but berries are ripe along the path.
c: If berries are ripe along the path, then walking is safe if and only if rabbits have not been seen in the area.
d: It is not safe to walk along the path, but rabbits have not been seen in the area, and the berries along the path are ripe.
e) For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.
Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path.
The formalizations in terms of atomic propositions are:
a) b ∧ ¬r.b) ¬r ∧ w ∧
b.c) (b → w) ∧ (¬r → w).
d) ¬w ∧ ¬r ∧
b.e) (¬r ∧ ¬b) → w.b ∧
Berries are ripe along the path, but rabbits have not been seen in the area.
This is formalized by using the ∧(logical and) operator.
(¬r ∧ ¬b) → w: It means For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.
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Answer this question for me please
Answer:
9-2 = 7
8-3 = 5
\(\sqrt{5^{2} +7^{2} \\\)
= 8.602325267
Step-by-step explanation:
Roger is training for the upcoming track season and records the number of miles that he runs each day for 20 days: 2.5, 0.5, 3.5, 4, 1.5, 5, 2, 2.5, 0.5, 4, 4.5, 3, 1.5, 1, 0.5, 2.5, 3, 5, 2.5, 0.5, 4, 4.5, 2, 4 which dotplot displays the data correctly? a dotplot titled roger apostrophe s training. a number line labeled miles run goes from 0.5 to 5 in increments of 0.5. 0.5, 4; 1, 1; 1.5, 2; 2, 2; 2.5, 3; 3, 2; 3.5, 0; 4, 3; 4.5, 2; 5, 1. a dotplot titled roger apostrophe s training. a number line labeled miles run goes from 0 to 3.5. 0, 4; 2.5, 3; 4, 3; 1.5, 2; 2, 2; 3, 2; 4.3, 2; 1, 2; 5, 1; 3.5, 0. a dotplot titled roger apostrophe s training. a number line labeled miles run goes from 0 to 5. 0, 4; 1, 1; 1.5, 2; 2, 2; 2.5; 3, 3, 2; 4, 3; 4.5, 2; 5, 1.
By examining the dotplot, you can see the frequency and distribution of the miles run by Roger. For example, there are 4 instances where Roger ran 0.5 miles, 3 instances where he ran 4 miles, and so on.
The dotplot that displays the data correctly is the one titled "Roger's Training" with a number line labeled "Miles Run" that goes from 0.5 to 5 in increments of 0.5. The dotplot should have the following data points:
0.5, 4
1, 1
1.5, 2
2, 2
2.5, 3
3, 2
3.5, 0
4, 3
4.5, 2
5, 1
This dotplot accurately represents the number of miles Roger ran each day over a 20-day period. Each dot represents a data point from the given list of miles run. The number line indicates the range of miles run, starting from 0.5 and ending at 5, with increments of 0.5.
By examining the dotplot, you can see the frequency and distribution of the miles run by Roger. For example, there are 4 instances where Roger ran 0.5 miles, 3 instances where he ran 4 miles, and so on. This visual representation allows you to easily interpret the data and observe any patterns or trends in Roger's training.
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why is 15.6 divided by 13.12 the same as 1560 divided by 312
Answer:
Step-by-step explanation:
It's like this
4 / 2 is the same as 8 / 4. It's equivalent to each other.
Answer:
because they were both multiplied by ten, so they stay proportanally the same
Step-by-step explanation:
any time you multiply to numbers, if you multiply them both by the same number, the proportion of the numbers will be the same
If a fair coin is tossed 5 times, what is the probability, to the nearest thousandth, of getting exactly 3 heads?
The required probability of getting exactly 3 heads is 0.3.
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
here,
Total sample space = 2×5 = 10
Favorable outcome (3 heads) = 3
Probability is given of getting exactly 3 heads
= favorable outcome / total sample space
Substitute the value in the above equation
= 3 / 10
= 0.3
Thus, getting the 3 heads while tossing a coin 5 times has a probability of 0.3.
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PPPLLLEEEAAASSSE HHHEEELLLPPP! 14 points! Brainlliest, hearts, and stars!
Find the value of the power.
6³
Answer:
216
Step-by-step explanation:
Answer:
216
Step-by-step explanation:
6x6x6=216
Here is your answer
Which is the conclusion in the following argument. "Since the good, according to Plato, is that which furthers a person's real interests, it follows that
Group of answer choices
- the good, according to Plato, is that which furthers a person's real interests
- Neither of the above.
- in any given case, when the good is known, men will seek it
The conclusion in the argument is "the good, according to Plato, is that which furthers a person's real interests." which it is the correct answer.
In a well-structured argument, the conclusion is what the argument aims to prove.
The conclusion can be located at the beginning or end of the argument, and it should always be precise, clear, and understandable.
The conclusion in the argument above is that "the good, according to Plato, is that which furthers a person's real interests."
The argument tries to explain that the good in Plato's philosophical teachings is a thing that advances a person's genuine interests.
The statement "it follows that" is the premise that links the argument with the conclusion.
The premise and the conclusion have a relationship of cause and effect, and this implies that the argument's conclusion is "the good, according to Plato, is that which furthers a person's real interests."
Therefore, the right option is: the good, according to Plato, is that which furthers a person's real interests.
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Determine if the following functions are Well-Defined or Not Well-Defined 1. f(x)=x/12 2. g(x)=1/(x−3)
3. h(x)=5/(1+∣x∣) 4. i(x)=sqrt(−5)
Function 1, 2 and 3 are well-defined while function 4 is not well-defined.
A function f : A -> B is well-defined if f(a) is unique for all a in A. If a function is not well-defined, then it assigns different values to the same input, which violates the fundamental definition of a function. Here are the solutions to the given question:
1. f(x) = x/12
This function is well-defined since each input (x) is mapped to a unique output (x/12). Therefore, the function is well-defined.
2. g(x) = 1/(x - 3)
This function is well-defined since each input x is mapped to a unique output (1/(x-3)) that exists for all x ≠ 3. Therefore, the function is well-defined.
3. h(x) = 5/(1 + |x|)
This function is well-defined since each input x is mapped to a unique output (5/(1 + |x|)) that exists for all x. Therefore, the function is well-defined.
4. i(x) = √(-5)
This function is not well-defined because there is no real number whose square is negative. Therefore, the function is not well-defined.
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If the sum of simple interest and compound interest at the rate of 8% p.a. for 2 years is Rs 816, find the principal.
Answer:
918
Step-by-step explanation:
Answer:
Here a pic on how
Hope that help now <3
find the missing endpoint. Endpoint:(-9 -2) Midpoint:(-6,2)
The coordinates of the midpoint are the average of the coordinates of the endpoints.
So, for example, using the endpoints (x1, y1) and (x2, y2) and the midpoint (mx, my), we have that:
\(\begin{gathered} mx_{}=\frac{x_1+x_2}{2} \\ my=\frac{y_1+y_2}{2} \end{gathered}\)Now, using the midpoint (-6, 2) and the endpoint (-9, -2), we have:
\(\begin{gathered} mx=\frac{x_1+x_2}{2} \\ -6=\frac{-9+x_2}{2} \\ -9+x_2=-12 \\ x_2=-12+9=-3 \\ \\ my=\frac{y_1+y_2}{2} \\ 2=\frac{-2+y_2}{2} \\ -2+y_2=4_{} \\ y_2=4+2=6 \end{gathered}\)So the coordinates of the second endpoint are (-3, 6).
Range of g(x)=3 square root of x
The range of the function g(x) is given as follows:
[0, ∞).
How to obtain the domain and range of a function?The domain of a function is obtained as the set containing all the values assumed by the independent variable x of the function, which are also all the input values assumed by the function.The range of a function is obtained as the set containing all the values assumed by the dependent variable y of the function, which are also all the output values assumed by the function.From the graph of the function given in this problem, y assumes all real non-negative values, hence the interval notation representing the range of the function is given as follows:
[0, ∞).
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what is the height of this triangle?
Answer:
XY (height) is approximately 20.8 feet
Step-by-step explanation:
let h = XY
tan60° = h/12
h = 12·tan60°
h = 20.78 ft
Four students each made a list of prime numbers. Eric:5,7,17,23. Maya:3,5,13,17. Bella:2,3,17,19. Jordan:7,11,13,21 Who made an error and included a composite number? Write the composite number from his or her list.
Answer:
21 isnt prime so Jordan made the mistake
Step-by-step explanation:
3x7=21 as well as 21x1
Step-by-step explanation:
Jordan made an error. 21 is a composite number. 7×3=21. it is not a prime number
over the next 30 days, how many days will your favorite radio or tv station correctly forecast whether it will be cloudy?
It is difficult to accurately predict the number of days a favorite radio or TV station will correctly forecast whether it will be cloudy over the next 30 days.
Forecasting weather accurately is a challenging task, and even the most advanced weather models are subject to errors. The accuracy of a station's forecasts depends on various factors such as the quality of their data sources, the skill and experience of their forecasters, and the complexity of the weather patterns in the region. Therefore, it is not possible to determine the exact number of days a station will make correct forecasts about whether it will be cloudy or not. However, it is important to note that modern weather forecasting has come a long way in recent years, and many stations now provide fairly accurate predictions. It is always a good idea to consult multiple sources and use personal judgment when making plans based on weather forecasts.
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Xander was in the lead for 75% of the laps during PE. If the race lasted 12 laps, how many laps did Xander lead?
Answer:
9 laps
Step-by-step explanation:
75% of something is the same as three-fourths, or multiplying by 0.75
12 x 0.75 = 9
or you can divide by 4 and then multiply by three if you know what to separate the original number into
12/4 = 3 3 x 3 = 9
The graph of the function h(x) = 2x2 is shown on the grid below. Graph the function g(x) = 2(x + 1)2 – 8 in the interactive graph.
inConsider the h(x) as the parental function
\(h(x)=2x^2\)To determine the function g(x), there were two transformations performed to the parental function.
-First, they added 1 to the x-term, which results on a horizontal translation of one unit to the left
\(h(x+1)=2(x+1)^2\)-Second, there were subtracted 8 units to the function, which results in a vertical translation down:
\(\begin{gathered} g(x)=h(x+1)-8 \\ g(x)=2(x+1)^2-8 \end{gathered}\)So the function g(x) has the same shape as function h(x) but its vertex is on the coordinates (-1,-8)
there are at least two general reasons why a sample is almost always more desirable than a census, which include the expense and the difficulty of analyzing very large datasets. true false
Yes a sample is nearly always preferable to a census for at least two broad reasons, including the cost and the challenge of interpreting very big datasets.
It is not possible to obtain precision or accuracy with surprisingly small samples. The majority of surveys require a sample or target group because they cannot be conducted on the full population due to its size. The population can be surveyed individually if it is small enough. A census study is this kind of survey.
A census is a process used to systematically gather, record, and compute data regarding the constituents of a specific population.
A sample is a subset of units chosen to represent all the individuals in the population.
So therefore the statement that is there are at least two general reasons why a sample is almost always more desirable than a census, which include the expense and the difficulty of analyzing very large datasets is True .
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