The score located 2 standard deviations below the mean is 100. This score can be found by subtracting 2 standard deviations (20) from the mean (120).
The normal distribution is a bell-shaped curve that is symmetrical around the mean. This means that if you calculate the number of standard deviations away from the mean, you can use the same number to calculate how many standard deviations away from the mean the score is.
For example, in this question, the mean is 120 and the standard deviation is 10. To find the score located 2 standard deviations below the mean, subtract 2 standard deviations from the mean. This means the score is 120 - 20 = 100.
In general, the formula for calculating the score located x standard deviations away from the mean is:
Score = Mean + (x * Standard Deviation)
For example, to find the score located 4 standard deviations away from the mean, the formula is:
Score = Mean + (4 * Standard Deviation)
In this example, the score is 120 + (4 * 10) = 160.
In summary, to find the score located x standard deviations away from the mean, use the formula:
Score = Mean + (x * Standard Deviation)
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Arrange jn order smallest to largest. 11%, 0. 2, 13%, 3/20, 1/8
Arranged from smallest to largest, the given values are 0.2, 3/20, 1/8, 11%, and 13%.
To compare these values, we need to convert the percentages to decimals. We can do this by dividing them by 100. So, 11% becomes 0.11 and 13% becomes 0.13.
Next, we can convert 3/20 and 1/8 to decimals by dividing them using a calculator. We get:
3/20 = 0.15
1/8 = 0.125
Now, we can arrange these values in ascending order:
0.2 < 0.125 < 0.15 < 0.11 < 0.13
Therefore, the values arranged in order from smallest to largest are 0.2, 3/20, 1/8, 11%, and 13%.
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if the number of samples were doubled, what would be the new confidence interval (keeping the same confidence level?)
If the number of samples is doubled, the new confidence interval would be 9.61, 10.39 or narrower (smaller) while keeping the same confidence level.
. When calculating the confidence interval, the standard error is used, along with the sample mean and the critical value from the distribution. If we have a larger sample size, we can be more confident in our estimate of the population parameter because the sample mean will more closely resemble the population mean. As a result, the confidence interval can be narrower, indicating a higher degree of precision. For Example:Suppose a sample of 50 was taken, and the mean weight of an object was 10 grams with a standard deviation of 2 grams.
At a 95 percent confidence level, the confidence interval for the mean weight would be 10 ± (1.96)(2/√50) = (9.15, 10.85)Now suppose that the sample size is doubled to 100. The standard error will be cut in half, i.e., 2/√100 = 0.2. As a result, the new confidence interval would be 10 ± (1.96)(0.2) = (9.61, 10.39). Notice that the new confidence interval is narrower, indicating a higher degree of precision while keeping the same confidence level.
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A set of blocks contains blocks of heights 1, 2, and 4 centimeters. Imagine constructing towers by piling blocks of different heights directly on top of one another. (A tower of height 6 cm could be obtained using six 1 cm blocks, three 2 cm blocks, one 2 cm block with one 4 cm block on top, one 4 cm block with one 2 cm block on top, and so forth.) Lett, be the number of ways to construct a tower of height n cm using blocks from the set. (Assume an unlimited supply of blocks of each size.) Use recursive thinking to obtain a recurrence relation for ty, ty, tzo Imagine a tower of height k cm. Either the bottom block has height 1 cm or it has height 2 cm or it has height cm. If the bottom block has height 1 cm, then the remaining blocks make up a tower of height x cm. By definition of t, there are tk-1 such towers. If the bottom block has height 2 cm, then the remaining blocks make up a tower of height x cm. By definition of there are x cm, then the remaining blocks make tx-2 such towers. If the bottom block has height such towers up a tower of height x cm. By definition of there are 1 Select X Therefore, for each integer, n 25,
Answer: Based on the problem statement, we can define a recurrence relation as follows:
t(n) = t(n-1) + t(n-2) + t(n-4)
This means that the number of ways to construct a tower of height n cm can be obtained by considering the possible heights of the bottom block in the tower. If the bottom block has height 1 cm, then the remaining blocks make up a tower of height (n-1) cm, for which there are t(n-1) ways to construct it. If the bottom block has height 2 cm, then the remaining blocks make up a tower of height (n-2) cm, for which there are t(n-2) ways to construct it. If the bottom block has height 4 cm, then the remaining blocks make up a tower of height (n-4) cm, for which there are t(n-4) ways to construct it.
Since we are assuming an unlimited supply of blocks of each size, we can use these blocks repeatedly to construct towers of different heights. Also, we can use dynamic programming to compute the values of t(n) for each integer n from 1 to 25, by using the recurrence relation above and the base cases:
t(0) = 1 (there is only one way to construct a tower of height 0 cm, which is to not use any blocks)
t(n) = 0 for n < 0 (there is no way to construct a tower of negative height)
Using these, we can compute the values of t(n) for n = 1, 2, ..., 25, as follows:
t(0) = 1
t(1) = t(0) = 1
t(2) = t(1) + t(0) = 2
t(3) = t(2) + t(1) = 3
t(4) = t(3) + t(2) + t(0) = 6
t(5) = t(4) + t(3) + t(1) = 10
t(6) = t(5) + t(4) + t(2) = 19
t(7) = t(6) + t(5) + t(3) = 32
t(8) = t(7) + t(6) + t(4) = 61
t(9) = t(8) + t(7) + t(5) = 104
t(10) = t(9) + t(8) + t(6) = 195
t(11) = t(10) + t(9) + t(7) = 332
t(12) = t(11) + t(10) + t(8) = 626
t(13) = t(12) + t(11) + t(9) = 1065
t(14) = t(13) + t(12) + t(10) = 2002
t(15) = t(14) + t(13) + t(11) = 3405
t(16) = t(15) + t(14) + t(12) = 6403
t(17) = t(16) + t(15) + t(13) = 10946
t(18) = t(17) + t(16) + t(14) = 20618
t(19) = t(18) + t(17) + t(15) = 350
Step-by-step explanation:
the nonparametric tests discussed in your book (wilcoxon rank sum test, sign test, wilcoxon signed rank sum test, kruskal-wallis test, and friedman test) all require that the probability distributions be:
Nonparametric tests can be useful in situations where the data may not follow a specific distribution or where the assumptions of a parametric test are not met.
The nonparametric tests mentioned in your question do not assume any specific probability distribution for the data. Hence, they are called nonparametric tests. These tests are used when the assumptions required for parametric tests (e.g., normality) are not met, or when the data is measured on ordinal or nominal scales rather than continuous ones.
The Wilcoxon rank-sum test, sign test, and Wilcoxon signed-rank test are used to compare two independent or dependent samples. The Kruskal-Wallis test and Friedman test are used to compare three or more independent or dependent samples.
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The number of cases of a disease
increases by the same factor each year, as
shown in the table below.
Write an expression for the number of
cases of the disease after n years.
Start
End of year 1
End of year 2
End of year 3
Number of cases
1400
2100
3150
4725
Answer:
N*r^n
Step-by-step explanation:
Let the initial number of cases at the start of year 1 be represented by N.
From the given information, we know that the number of cases increases by the same factor each year. Let this factor be represented by r.
Then, at the end of year 1, the number of cases would be N*r, since it has increased by a factor of r.
Similarly, at the end of year 2, the number of cases would be Nrr, or N*r^2.
At the end of year 3, the number of cases would be Nrrr, or Nr^3.
We can use this pattern to write a general expression for the number of cases after n years:
N * r^n
where N is the initial number of cases, r is the common factor by which the number of cases increases each year, and n is the number of years elapsed.
6y^2+11y-7
Solve this pls show work
Step-by-step explanation:
hope this will help u
The graph represents a relation where x represents the independent variable and y represents the dependent variable.
Is the relation a function? Explain.
No, because for each input there is not exactly one output.
No, because for each output there is not exactly one input.
Yes, because for each input there is exactly one output.
Yes, because for each output there is exactly one input.
Answer:
(a) No, because for each input there is not exactly one output.
Step-by-step explanation:
You want to know if the relation shown in the graph is a function.
FunctionA relation is a function if its graph passes the vertical line test. That is, a vertical line cannot intercept the graph of the relation at more than one point.
The points (-1, -2) and (-1, 3) will both be intercepted by the vertical line x = -1. This tells us the relation is not a function, because it has two outputs for that input.
<95141404393>
Let alpha = phi/2008 . Find the smallest positive integer n such that 2 [cos(alpha) sin(alpha) + cos (4 alpha) sin (2 alpha) + cos (9 alpha) sin (3 alpha) +.....+ cos (n^2 alpha) sin(n alpha)] is an integer
n = ceil(sqrt((2008/4phi)[90 - arccos(k(2 cos(phi/2008)))]))
How to find integer?Simplifying equation:2 [cos(alpha) sin(alpha) + cos(4 alpha) sin(2 alpha) + cos(9 alpha) sin(3 alpha) + ... + cos(n^2 alpha) sin(n alpha)]
= [sin(2 alpha) + sin(8 alpha) + sin(18 alpha) + ... + sin(n^2 alpha)].
Using the formula for the sum of a geometric series:sin(2 alpha) + sin(8 alpha) + sin(18 alpha) + ... + sin(n^2 alpha)
= (sin(2 alpha) - sin(2n^2 alpha))/(1 - sin(2 alpha))
= (2 sin(n^2 alpha) cos(n^2 alpha))/(2 cos(alpha) - 1)
= [sin(2n^2 phi/2008)]/(2 cos(alpha) - 1)
To find an integer value:[sin(2n^2 phi/2008)]/(2 cos(alpha) - 1)
sin(2n^2 phi/2008) = k(2 cos(alpha) - 1)
cos(90 - 2n^2 phi/2008) = k(2 cos(alpha) - 1)
Now, we need to find the smallest positive integer n90 - 2n^2 phi/2008 = ±arccos(k(2 cos(alpha) - 1))
Solving for n, we get:n^2 = (2008/4phi)[90 ± arccos(k(2 cos(alpha) - 1))]
n = ceil(sqrt((2008/4phi)[90 - arccos(k(2 cos(phi/2008)))]))
We can find the smallest positive integer n by incrementing the value of k starting from 1 until ceil(k^2*alpha) is greater than or equal to n.
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the physician orders lanoxin elixir 0.175 mg po q.am for the patient. the pharmacy sends a bottle labeled: lanoxin elixir 0.05 mg/ml. how many milliliters will the nurse administer to the patient? write your answer as a decimal number.
The nurse should administer 3.5 mL of Lanoxin elixir 0.05 mg/mL to the patient to achieve the desired dose of 0.175 mg.
First, we need to convert the prescribed dose of 0.175 mg to milligrams per milliliter (mg/mL) using the concentration of the Lanoxin elixir, which is 0.05 mg/mL.
To determine how many milliliters of Lanoxin elixir 0.05 mg/mL the nurse should administer to the patient, we need to use a simple formula:
Dose = Desired dose / Stock strength
Where:
Desired dose is 0.175 mg
Stock strength is 0.05 mg/mL
So, substituting the values into the formula:
Dose = 0.175 mg / 0.05 mg/mL
Dose = 3.5 mL
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Wendy throws a dart at this square-shaped target:
Part A: Is the probability of hitting the black circle inside the target closer to 0 or 1? Explain your answer and show your work
Part B: Is the probability of hitting the white portion of the target closer to 0 or 1? Explain your answer and show your work.
a) The probability of hitting the black circle inside the target is closer to zero.
b) The probability of hitting the white portion inside the target is closer to one.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
The total area of the region is given as follows:
10² = 100 units squared.
The black circle has a radius of one unit(as the diameter is of 2 units), hence it's area is given as follows:
A = 3.14 x 1²
A = 3.14 units squared.
Then the probability of hitting the black circle is of:
3.14/100 = 0.0314 -> closer to zero.
The probability of hitting the white circle is given as follows:
1 - 0.0314 = 0.9686 -> closer to one.
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which property is shown 16x5x2=2x5x16
Answer:
Commutative property
The Commutative property is most simply shown with: a x b = b x a. In multiplication, the values can shift or "commute" in any order
it is estimated that 45% of the senior class will go to prom this year. if you randomly choose 10 seniors and ask them if they are going to prom, would you use the normal approximation to predict these results?
Yes, we would use the normal approximation to predict these results.
When it comes to hypothesis testing and confidence intervals, the normal distribution plays a crucial role.
When sample sizes are large enough, the normal distribution can be used as a reasonable approximation for the binomial distribution.
This is because the binomial distribution approaches the normal distribution as sample size increases.
To calculate the normal approximation, you will need to determine the mean and standard deviation of the binomial distribution.
The mean is np and the standard deviation is the square root of np(1-p),
where n is the sample size and p is the probability of success.
The probability of success in this case is 45%, or 0.45.
Therefore, the mean is 10 * 0.45 = 4.5 and the standard deviation is the square root of 10 * 0.45 * (1 - 0.45) = 1.37.
Now that you have the mean and standard deviation, you can use the normal distribution to make predictions about the sample.
If you want to find the probability that exactly 5 students will go to prom, for example, you would use the formula for the normal distribution with a mean of 4.5 and a standard deviation of 1.37.
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PLEASE HELP!!
Solve and explain
Answer:Tham I can’t even se the letters you should have posted each question one by one
Step-by-step explanation:
good luck
Triangle A: All sides have length 12 cm.
Triangle B: Two sides have length 10 cm, and the included angle measures 60°.
Triangle C: Base has length 15 cm, and base angles measure 40°.
Triangle D: All angles measure 60°.
Which triangle is not a unique triangle? (5 points)
a
Triangle A
b
Triangle B
c
Triangle C
d
Triangle D
triangle C
Step-by-step explanation:
If you draw it out, it looks unique
Simplify each epression and state the domain restrictions for each expression. You
MUST show your work (either typing or attaching a file) for full credit.
1.
2.
9x+3
12x+4
2x²+10x
x²+10x+25
The answer and workout is provided in the attachment.
Two ballons, Balloon A and Balloon B, have a total volume of 3/5 gallon. Balloon A has a greater volume than Balloon B. The difference of their volumes is 1/5 gallon. Write and solve a system of equations using elimination to find the volume of each balloon.
PLEASE HELP
The volume of balloon A is [tex]\frac{2}{5}[/tex] gallon and the volume of balloon B is [tex]\frac{1}{5}[/tex] gallon.
What is volume?
Any three-dimensional solid's volume is simply the amount of space it takes up. A cube, cuboid, cone, cylinder, or sphere can be one of these solids.
We are given that two balloons have a total volume of [tex]\frac{3}{5}[/tex] gallon.
Let the volume of balloon A be x and the volume of balloon B be y.
So, we get
x + y = [tex]\frac{3}{5}[/tex]
Also, it is given that the difference of their volumes is [tex]\frac{1}{5}[/tex] gallon and Balloon A has a greater volume than Balloon B.
So, we get another equation as
x - y = [tex]\frac{1}{5}[/tex]
Now, on adding both the equations, we get
⇒ 2x = [tex]\frac{4}{5}[/tex]
Now, on solving we get
⇒ x = [tex]\frac{2}{5}[/tex]
Now, on substituting the value of x in the equation, we get
⇒ [tex]\frac{2}{5}[/tex] + y = [tex]\frac{3}{5}[/tex]
⇒ y = [tex]\frac{1}{5}[/tex]
Hence, the volume of balloon A is [tex]\frac{2}{5}[/tex] gallon and the volume of balloon B is [tex]\frac{1}{5}[/tex] gallon.
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g the probability that a patient recovers from a stomach disease is 0.8 exactly 14 recover? at least 10 recover?
A patient's probability of recovering is 0.8, so the likelihood that they won't is 0.2.
The probability that a patient will recover from a stomach disease is 0.8. Assume that 20 persons have reportedly got this illness.
Let X = # of recoveries out of 20 patients who caught the condition while PMF for X and resolve issues. Imagine that a 20-person sample was chosen at random.
Here, Bernoulli trials are applicable.
Recall that the chance of k successes in n trials using the Bernoulli approach is given by:
P(k)=( n/k )p (power k) * (q power n−k)
where q=1-p is the probability that an attempt would fail
where q=1-p is the probability that an attempt would fail
Here, let's make recovery a success. Hence, p = 0.8, q = 0.2, and n = 20
The probability that at least 10 recoveries will occur is
P(X10) = P(10) + P(11) + P(12) +... + P (20)
The complete question will be:
The probability that a patient recovers from a stomach disease is 0.8. Suppose twenty people are known to have contracted this disease. What is the probability that at least ten recover?
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9 km
7 km
3 km
3 km
3 km
2 km
8 km
9 km
3 km
7 km
Answer: what do you mean? I need more info-
Step-by-step explanation:
I can answer it with more info :)
if you have $11 and save $5 each week how much money you will have after 6 weeks
Answer: 41$
Step-by-step explanation:
This is because 5x6=30 (To find how much money is made)
then 11+30=41 (add both amounts)
HELP ME PLEASE ILL GIVE YOU STARS
Answer:
multiply BD and AC and you got it
Step-by-step explanation:
if yuo put ABD triangle over CEB you got a sqare, if you do it again you got a aqare 20x10
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
40 min 25 min
Answer:
Part A is 8/13 of the whole
Part B is 5/13 of the whole
Step-by-step explanation:
Assuming there are no other parts,
the Whole = A + B is the denominator:
Whole = 40 + 25 = 65
Part A = 40 and Part B = 25 are numerators for each fraction.
The fractions are then:
40/65 and 25/65
Meaning:
Part A is 40/65 of the whole
Part B is 25/65 of the whole
Reducing the fractions, it is also true that:
Part A = 8/13 of the whole
Part B = 5/13 of the whole
Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points in simplest radical form. ( − 3 , − 4 ) and ( − 5 , − 6 ) (−3,−4) and (−5,−6)
The length of the hypotenuse is 2 times the square root of 5. The Pythagorean theorem can be used to determine the length of the hypotenuse.
How to find distance between two points ?To graph the right triangle with the given points as the hypotenuse, we first plot the points on a coordinate plane . The two points form the endpoints of the hypotenuse, which is the line segment connecting them. We can find the length of this line segment using the distance formula:
distance = [[tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2]}[/tex]
In this case, we have:
distance = [[tex]\sqrt{(-5 - (-3))^2 + (-6 - (-4))^2}[/tex]]
distance = [tex]\sqrt{(-5 - (-3))^2 + (-6 - (-4))^2}[/tex]]
distance = [[tex]\sqrt{4 + 4}[/tex]]
distance = [[tex]\sqrt{8}[/tex]]
We can simplify [tex]\sqrt{8}[/tex] by factoring out the perfect square factor of 4:
distance = [[tex]\sqrt{4 * 2}[/tex]]
distance = [tex]\sqrt{4} *\sqrt{2}[/tex]
distance = 2 * [tex]\sqrt{2}[/tex]
Thus, the distance between the two points is 2 * [tex]\sqrt{2}[/tex] ] units.
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No notes. No Book. No Phone. No Ipad
Calculator allowed. Homework allowed
Quiz 6.1
1) Which expression is equivalent to 83
√834
5
√835
a.
b.
4
c. (√83) 5
d. (√83)*
2) Which expression is equivalent to V30'
a. 307
7
b. 305
c. 304
d. 3021
6) Write (b) as a radical expression.
Simplify completely.
Name:
Block:
3) Write x¹/5 in radical form.
Date:
Guinn
4) Write √45 in rational exponent form.
5) What is the value of n if va = a"?
7) Write √-64x as a rational exponent.
Simplify completely.
Part B:
How many times faster (round to the nearest tenth)?
8) The power function H(m) = 240m models an animal's approximate resting heard rate H
(in beats per minute) given its mass m (in kilograms). Consider a gorilla with a mass of 200
kilograms and a chimpanzee with a mass of 50 kilograms.
Part A:
Which animal has a faster heart rate when resting (Show all work)?
The gorilla has a heart rate that is four times faster than the chimpanzee's when they are resting.
What is expression in math?Expression in math is a combination of numbers, variables, operations and/or symbols that represent a value, quantity or an equation. It can either be a single term, or several terms connected by mathematical operations such as addition, subtraction, multiplication and division. Expressions are typically used in equations, formulas and problems to help solve them.
To calculate the heart rate of the gorilla, we use the power function given: H(m) = 240m. Substituting in m = 200, we get H(200) = 240(200) = 48,000 beats per minute.
To calculate the heart rate of the chimpanzee, we use the same power function: H(m) = 240m. Substituting in m = 50, we get H(50) = 240(50) = 12,000 beats per minute.
Therefore, the gorilla has a heart rate that is four times faster than the chimpanzees when they are resting.
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X^4-3x^2+9x name the polynomial
Answer:
biquadratic polynomial
Step-by-step explanation:
it has degree 4
In terms of the water lily population change, the value 3.915 represents: the value 1.106 represents:
The value 1.106 represents the slope of the regression line or the rate of change of y with respect to x.
In the given regression equation y = 3.915(1.106)x:
The value 3.915 represents the y-intercept or the predicted value of y when x=0. In the context of the water lily population change, this value could represent the initial population of water lilies or the minimum population that can sustain in the given environment.The value 1.106 represents the slope of the regression line or the rate of change of y with respect to x. In the context of the water lily population change, this value could represent the rate at which the water lily population increases or decreases with respect to some independent variable x, such as time or environmental factors.Learn more about slope here https://brainly.com/question/19131126
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Solve for y
y-5.4=4.86
Answer: y - 10.26
Step-by-step explanation: Add 5.4 on both sides and that leaves you with y
GIVING BRAINLIEST FOR RIGHT ANSWER
Answer:
4
Step-by-step explanation:
Answer:
[tex]x\leq 6[/tex]
Step-by-step explanation:
what is the value of the t score for a 99.8% confidence interval if we take a sample of size 5? group of answer choices
the t-score for a 99.8% confidence interval with a sample size of 5 is 4.604.
The t-score for a 99.8% confidence interval with a sample size of 5 can be found using a t-distribution table or calculator.
Since we have a sample size of 5, the degrees of freedom (df) will be n - 1 = 4.
From the t-distribution table or calculator, the t-score for a 99.8% confidence interval with 4 degrees of freedom is approximately 4.604.
Therefore, the t-score for a 99.8% confidence interval with a sample size of 5 is 4.604.
the complete question is :
what is the value of the t score for a 99.8% confidence interval if we take a sample of size 5?
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A figure displays two complementary nonadjacent angles. If one angle measure is 79", what is the other angle measure?
(1 point)
O 21"
O 121°
O 101'
O 11"
ANSWER-
Let the nonadhacent anglesof complementary angle be x and y where, x=79 and y =?
WE KNOW,
x+y=90
or,79+y=90
or, y=90-79
:. y=11,,
isaac is designing a circular table top that he plans to paint white. the table top has a circumference of 18.84 feet. using 3.14 for , what is the area of the table top rounded to the nearest hundredth?the area of the table top is
The area of the table top is approximately 28.27 square feet. To find the area of a circular table top with a given circumference, we can use the formula A = πr², where r is the radius.
To find the area of the table top, we need to use the formula for the area of a circle, which is:
A = πr²
We are given the circumference of the table top, which is:
C = 2πr
We can solve for r by dividing both sides by 2π:
r = C / (2π) = 18.84 / (2 * 3.14) = 3
Now we can substitute this value for r into the formula for the area of a circle:
A = π(3)² = 9π
Using 3.14 for π, we get:
A ≈ 28.26
Rounding to the nearest hundredth, the area of the table top is approximately 28.27 square feet.
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