If x > y and a > b, the option that must be true is D. x + a > y + b.
How to solve the inequalityInequalities are simply created through the connection of two expressions. In this case, it should be noted that the expressions in an inequality are not always equal. Inequalities implies that the expressions are not equal. Here, they are denoted by the symbols ≥ < > ≤.
If two inequalities have inequality symbols facing the same direction, we can add the inequalities
For example: 4 < 7 and 1 < 10
So, we can add them to get: 4 + 1 < 7 + 10
Since x > y and a > b have inequality symbols facing the same direction, we can add the inequalities to get: x + a > y + b
The correct option is D.
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If x > y and a > b, which of the following must be true?
A. x > a
B. y > b
C. x + b > y + a
D. x + a > y + b
E. a + b > x + y
There are several statements in the table below.
For each, determine whether it is a negation of this statement.
It is not the case that x is equal to 400.
The true statement regarding the negation of the statement "It is not the case that x is equal to 400" is given as follows:
x is equals to 400.
Hence the remaining statements are false.
How to obtain the negation of the statement?The statement in this problem is given as follows:
"It is not the case that x is equal to 400".
The synonym, considering that the clause is "x is equals to 400", is given as follows:
"x is not equal to 400".
The negation of the statement is given as follows:
Not("x is not equal to 400").
Hence, in this case, we would have a double negation, which becomes and affirmation, and thus the negation of the statement is given as follows:
x is equals to 400.
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I need help figuring this out, please I'm begging you, help me....
The formula for the area of a triangle is; Area = 125 units²
How to find the area of a triangle?Using the concept of similar triangles, we can use the following proportion to fid x of the triangle;
20/x = x/5
Cross multiply to get;
x² = 100
x = √100
x = 10
The formula to find the area of a triangle is;
Area = ¹/₂ * base * height
Area = ¹/₂ * 25 * 10
Area = 125 units²
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the probability pete will catch fish when he goes fishing is .8. pete is going fishing 3 days next week. refer to exhibit 5-10. what is the random variable in this experiment? a. the .8 probability of catching fish by. the number of days out of 3 that peter catches fish c. the 3 days d. the number of fish in the body of water
The correct answer is option b. The random variable in this experiment is the number of days out of 3 that Pete catches fish.
Pete's probability of catching fish on any given day is.8, and the number of days for which he is fishing is three. This experiment has no bearing on the number of fish in the water.
The mathematical discipline of the probability is concerned with numerical descriptions of the likelihood of an event or proposition being true. A number between 0 and 1 indicates the likelihood of an event, with 0 representing impossibility and 1 representing the certainty.
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Complete Question:
the probability pete will catch fish when he goes fishing is .8. pete is going fishing 3 days next week.
what is the random variable in this experiment?
a. the .8 probability of catching fish
b. the number of days out of 3 that peter catches fish
c. the 3 days
d. the number of fish in the body of water
Solve the problem i need too write 20 badaknfojoenfoerfer
Answer:
see below
Step-by-step explanation:
12/14 = 6/7 = 18/21
so w = 21
four different statistics have been proposed as estimators of a population parameter. to investigate the behavior of these estimators, 500 random samples are selected from a known population and each statistic is calculated for each sample. the true value of the population parameter is 75. the graphs below show the distribution of values for each statistic. which of the statistics appear to be unbiased estimators of the population parameter? how can you tell? which of statistics a or b would be a better estimator of the population parameter? explain your choice. which of statistics c or d would be a better estimator of the population parameter? explain your choice.
According to the information provided, statistics A seems to be an unbiased estimator of the population parameter.
Statistic A is the objective estimator of the population parameter, it should be emphasized. This is as a result of its 75 population parameter being its focal point. Statistic A would provide a more accurate estimate of the population parameter. This is due to the sample mean being 75, which is also the population mean. Given that statistic D is equal to the population means, it would serve as a more accurate estimate of the population parameter. The final point to make is that statistic C has no distribution shape.
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Dottie went to the movies with her friends. She bought a soda for $2.35, a pack of bubble gum for $1.15, and a chocolate bar for $1.65. How much did Dottie spend in total?
A $5.05
B $5.15
C $5.25
D $5.35
Answer:
B = $5.15
Step-by-step explanation:
One way to solve this is by adding the whole numbers first, which gives you $4, and then adding the rest of the number, which is the decimal points, which gives you $1.15, then you add those two together, which gives you your answer of $5.15.
Answer:
B $5.15
Step-by-step explanation:
Add.
$2.35 + $1.15 + $1.65 = $5.15
Hope this helped!
suppose that we know that 33% (a population parameter) of 13-15 year old teenagers are vaccinated for mmr. investigators ask a random sample of 400 teenagers ages 13-15 if they had the mmr vaccination and finds that 116 of them had. does this sample provide a likely estimate of the population parameter? g
Yes, this sample provides a likely estimate of the population parameter. To calculate the sample proportion, we need to divide the sample size by the number of successes.
In this case, the sample proportion is the number of teenagers that received the MMR vaccination (116) divided by the total sample size (400). This produces a sample proportion of 0.29 or 29%. This is close to the population parameter of 33%, so it provides a likely estimate of the population parameter. This can also be demonstrated by calculating the 95% confidence interval of the sample proportion. Using the formula (P ± 1.96√((P)(1-P)/n)), where P is the sample proportion (29%), and n is the sample size (400), the 95% confidence interval is (25.2%, 32.8%). Since the population parameter (33%) falls within this interval, it provides a likely estimate of the population parameter.
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what is the solid of revolution obtained when you revolve the region bounded by the curves y equals x minus 1, y equals 0, and x equals 3 about the x-axis?
The height of the cylinder is 3 and its base is a circular disk with radius 1.
The solid of revolution obtained by revolving the region bounded by the curves y = x - 1, y = 0, and x = 3 about the x-axis is a cylinder.
The curves y = x - 1 and y = 0 bound a triangular region in the xy-plane with vertices (0, -1), (3, 0), and (1, 0). When this region is revolved about the x-axis, it generates a cylinder with height 3 and base a circular disk with radius 1.
A cylinder has traditionally been a three-dimensional solid, one of the most normal of curvilinear geometric shapes.
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Zakhele needs to draw up a budget of his monthly expenses. He earns r6500 per month. His bills in one month are : Rent r 1650, electricity r300,car payment r1200. Given his current expenses, how much money is available for saving?
The money available for saving is 3350.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Monthly earnings = 6500
Expenses:
Rent = 1650
Electricity = 300
Car payment = 1200
Total expenses.
= 1650 + 300 + 1200
= 3150
Now,
Remaining amount.
= Earnings - Total expenses
= 6500 - 3150
= 3350
Thus,
The money remaining is 3350.
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the entries in a certain row of pascal's triangle are \[1,n,\ldots,n,1\]the average of the entries in this row is $2048$. find $n$.
If the Pascal's triangle row entries are 1,n,...,n,1 and the average is 2048 , then the value of n is 15 .
Let the number of entries in the row is = n + 1 .
Since the average of the entries is 2048,
So , the sum of the entries is = 2048 × (n + 1).
We know that the sum of the entries in a row of Pascal's Triangle is equal to 2ⁿ, so we have the equation as :
⇒ 2048 × (n + 1) = 2ⁿ ;
On simplifying ,
we get ;
⇒ n = -0.99975 and n = 15 .
Since the "n" cannot be in negative .So , n = 15 .
Therefore , the value of n is the pascal's triangle is 15 .
The given question is incomplete , the complete question is
The entries in a certain row of Pascal's Triangle are 1,n,...,n,1 the average of the entries in this row is 2048. find n .
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a surveyor is standing 50 feet from the base of a large tree and measures the angle of elevation to the top of the tree to be . how tall is the tree to the nearest foot?
71.5° should be the angle of elevation to the summit of the tree. The tree to the nearest foot is 149.4ft.
Between the horizontal line and the line of sight, an angle called the angle of elevation is created. An angle of elevation is produced when the line of sight is upward from the horizontal line. When it lies between the line of sight and the horizontal line, the angle of elevation is generated. The angle created, known as the angle of elevation, occurs when the line of sight is above the horizontal line. However, the line of sight is downward toward the horizontal line in the depression angle. The angle of elevation is the angle formed by the horizontal line of sight and the object when a person stands and looks up at something.
tan 71.5°=opp/hyp
tan 71.5°=y/50
y=50(tan 71.5°)
y=50(tan 71.5°)
y=50(2.98868)
y=149.4ft
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4. a study of road rage asked separate random samples of 596 men and 523 women about their behavior while driving. based on their answers, each respondent was assigned a road rage score on a scale of 0 to 20. are the conditions for performing a two- sample t test satisfied?
The correct answer is - Yes we have two independent random samples and large sample size
Conditions for performing a two-sample
t-test: Random, Normal and Independent.
Random: Satisfied, because the samples have been given to be random samples.
Normal: Can be assumed to be satisfied, because the sample size of each sample is at least 30.
Independent: Satisfied. The random samples have been given to be separate and thus are independent. Moreover, the sample sizes are less than 10% of the population size.
Thus all three conditions have been satisfied and thus answer (e) is correct.
A t-take a look at is a statistical test that compares the method of samples. it's far used in speculation trying out, with a null speculation that the distinction in institution manner is 0 and an change speculation that the distinction in institution manner isn't like zero
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anthmetic series is 3, the common • The first term of difference is 4 and the sum of all the terms is 820 Find the number of terms and the last term.
The number of terms in this arithmetic series is equal to 20.
The last term of this arithmetic series is equal to 79.
How to calculate the sum of an arithmetic sequence.Mathematically, the sum of an arithmetic sequence is calculated by using this expression:
Sn = n/2(2a₁ + (n - 1)d)
Where:
Sn represents the sum of an arithmetic sequence?d is the common difference.a₁ is the first term of an arithmetic sequence.n is the total number of terms.Substituting the given parameters into the sum of an arithmetic sequence formula, we have the following;
820 = n/2(2(3) + (n - 1)4)
820 = n/2(6 + 4n - 4)
1,640 = n(2 + 4n)
1,640 = 2n + 4n²
820 = n + 2n²
2n² + n - 820 = 0
By solving the quadratic equation using the quadratic formula, we have:
x = 20 or x = -20.5
For the last term, we would use the following formula:
aₙ = a₁ + (n - 1)d
a₂₀ = 3 + (20 - 1)4
a₂₀ = 3 + (19)4
a₂₀ = 79.
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Complete Question:
The first term of an arithmetic series is 3, the common difference is 4 and the sum of all the terms is 820. Find the number of terms and the last term.
Find the y-intercept of the line on the graph.
Enter the correct answer.
Answer:
(0,-1)
Step-by-step explanation:
you only need to look where the graph and the y line cross each other.. and that is in the point (0,-1)
PLS HELP FAST
The sum of two numbers is 62 and the difference is 14 . What are the numbers?
Larger number:
Smaller number:
Answer: 38 and 24
Step-by-step explanation:
Hope this helps.
Evaluate the expression using the given value, and show your work.
a+ab when a=5 and b=2.
Please help, I'll vote brainliest! Try your best to show your work, as I have to do on my document.
The value of the expression for the condition is 15.
What is an expression?A statement, at least two variables or integers, and one or more arithmetic operations make up a mathematical expression. This mathematical procedure makes it possible to multiply, divide, add, or subtract quantities. The expression structure is as follows:
(Number/Variable, Math Operator, Math Operator) is an expression.
Given the expression,
a + ab and a = 5, b = 2
substitute the values of a and b in the expression we get,
a + ab = 5 + (5)(2)
multiply 5 and 2 we get 10
a + ab = 5 + 10
a + ab = 15
Hence the value is 15.
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in a normally distributed data set a mean of 55 where 99.7% of the data fall between 47.5 and 62.5, what would be the standard deviation of that data set? homework help: 4vg. empirical rule with examples links to an external site.(4:38) 4de. standard scores and the empirical rule links to an external site.(docx) group of answer choices 2.5 5.0 7.5 5.7
If Normally Distributed data set a mean of 55 where 99.7% of the data fall between 47.5 and 62.5, then the standard deviation of data set is (c) 2.5 .
The Standard Deviation can be calculated using the empirical rule, also known as the 68-95-99.7 rule, which states that for a normal distribution:
⇒ 68% of data falls within one standard deviation of mean
⇒ 95% of data falls within two standard deviations of mean
⇒ 99.7% of data falls within three standard deviations of mean
Since 99.7% of the data falls within 3 standard deviations of the mean, we can use this information to solve for the standard deviation.
Let's call the standard deviation "σ".
that means ; μ + 3σ = 62.6 ; μ - 3σ = 47.4
on solving the above two equations ,the standard deviation is
⇒ 6σ = 62.6 - 47.4
⇒ 6σ = 15.2 ⇒ σ = 2.5 .
The given question is incomplete , the complete question is
In a normally distributed data set a mean of 55 where 99.7% of the data fall between 47.5 and 62.5, what would be the standard deviation of that data set ?
(a) 5.0
(b) 7.5
(c) 2.5
(d) 5.7
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suppose that five different experimental runs are to be made on the first day of experimentation. if the five are randomly selected from among all the possibilities, so that any group of five has the same probability of selection, what is the probability that a different catalyst is used on each run?
The probability that a different catalyst is used on each run is 1, meaning it is certain to happen.
To calculate the probability that a different catalyst is used on each run, we can use the formula for combinations, which is given by n! / (n-k)!k!, where n is the number of items to choose from, k is the number of items being selected, and ! means factorial, which is the product of all positive integers up to that number.
In this case, we have 5 experimental runs and 5 different catalysts, so n = 5 and k = 5. The probability that a different catalyst is used on each run is given by:
5! / (5-5)!5! = 5! / 0!5!
= 120/120
= 1
--The question is incomplete, answering to the question below--
"An experimenter is studying the effects of temperature, pres-sure, and type of catalyst on yield from a certain chemical reaction. Three different temperatures, four different pressures, and five different catalysts are under consideration.
Suppose that five different experimental runs are to be made on the first day of experimentation. If the five are randomly selected from among all the possibilities, so that any group of five has the same probability of selection, what is the probability that a different catalyst is used on each run?"
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When simplified, which choice is equivalent to a2b3a−1b2c
Answer:ab power of 5 c
Step-by-step explanation: bc it stayed
what value of n makes |n-1|+1=0
Answer: There is no answer.
Step-by-step explanation:
The closest answer is 0 but there is no answer since -1 would equal 2.
1. the following question refers to the outcome of the actual experiment (described on the conclusions slides), not the data generated from your performance in particular (which may or may not have matched the real experimental results). how would you best describe the results of stroop experiment?
The correct option: b. Reaction times were the longest when people had to read words presented in colored ink.
Explain about the stroop experiment?A seemingly unimportant phenomena called the Stroop effect explains a great deal about how the brain functions.
The Stroop effect, which was first identified the dr. John Ridley Stroop in the 1930s, is our propensity to have trouble naming the physical color while it is utilized to spell out the name of both a different color. This uncomplicated discovery has significant implications for clinical psychology and psychological research.In brief, the Stroop test, a condensed version of both the original experiment, gives individuals contradictory information by having a word's color change from the color of the word printed. The Stroop test may be used to assess a person's selective attention knowledge and capabilities, processing speed, and general executive processing ability when combined with other assessments.Thus, the stroop experiment's findings most accurately represent when respondents used to have to read words given in colorful ink, reaction times tended to be the longest.
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The complete question is-
This following question refers to the outcome of the actual experiment (described on the conclusions slides), not the data generated from your performance in particular (which may or may not have matched the real experimental results).
a. Reaction times were the longest when people had to read words presented in black ink.
b. Reaction times were the longest when people had to read words presented in colored ink.
c. Reaction times were the longest when people had to name the color of colored chips/shapes.
d. Reaction times were the longest when people had to name the color of words presented in colored ink.
Which angle measure is equivalent to 14 9 radians?
Answer:
Below
Step-by-step explanation:
149 radians x 180 degrees / radian =26 820 degrees
(did you leave out a decimal point perhaps?)
Solve for x
X-3
4. = -6
Answer:
Step-by-step explanation:
first plug in -21 as X
-21-3=-24
-24/4=-6
Determine which statement is true about the zeros of the function graphed below.
1-2
8
$197
2
-2+
14-
-6-
8
2
OA. Function f has exactly one real solution and no complex solutions.
OB.
Function f has exactly two complex solutions.
C.
Function f has one real solution and one complex solution.
OD.
Function f has exactly two real solutions.
6
X
Help???
B. Function f has exactly two complex solutions.
About Graph of the quadratic functionThe graph of the quadratic function is an equation of the variable that has the highest power of two. This function is related to quadratic equations. The general form of the quadratic equation is, a² + bx + c = 0.
The graph of the quadratic function in mathematics is characterized by f(x) = y which is the dependent variable, x is the independent variable, while a and b are coefficients called quadratic equations, which are quadratic equations, have a variable with the highest power of two and are in the form of an equation .
The general form of the quadratic equation is: where x is the independent variable, a and b are the coefficients, and c is a constant. A function is closely related to the graph of the function. So do quadratic functions, which have their own function graphs.
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what is the probability that the distance between two randomly chosen points in a circle is less than the radius?
the probability that the distance between two randomly chosen points in a circle is less than the radius 1/3
Put the first point (P) somewhere on the circle (center O) - all the points are the same so it doesn’t matter where.
The other point (Q) will be somewhere on the circumference - length 2πr
It’s not clear if you want to measure distance around the circle or along a straight line.
If you measure around the circle, then there is an acceptable distance r
on either side of P and the probability is 2r/2πr=1/π
If you measure in a straight line, then Q can be a maximum distance r
from P and OPQ is an equilateral triangle. We therefore have 60∘
on each side of P and the probability is 120∘/360∘=1/3
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the following histogram represents the distribution of scores on a ten point quiz. step 1 of 3 : which score has the highest frequency?
The highest frequency of any score in the histogram would be 5/20 = 0.25.
The score that has the highest frequency is 8. This is determined by counting the number of bars corresponding to each score. In this histogram, there are 5 bars corresponding to the score 8, which is the highest number compared to any other score.
Formulaically, we can calculate the frequency for each score by dividing the number of observations for that score by the total number of observations. For the score 8, this would be 5/20 = 0.25. This is the highest frequency of any score in the histogram.
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in a certain movie theater, each row has 6 seats. a group of 5 friends finds an empty row to sit in. in how many unique ways can they sit in this row?
There probability are 120 unique ways for the 5 friends to sit in the row of 6 seats.
The group of 5 friends has 120 unique ways to sit in the row of 6 seats. This is because for each seat in the row, the group has 5 different options for who will sit in it. Additionally, for each option there are 4 more options for the remaining 4 friends. This means the group has 5x4x4x4x4 or 5x4^4 possible combinations, which is 120. To calculate this, it is helpful to think of the row of 6 seats as 6 boxes and the 5 friends as 5 balls. For each box, there is a choice of 5 different balls and for each ball there is a choice of 4 different boxes. This is why the total number of combinations is 5x4^4. The friends may not be able to sit in the same combination twice, so it's important for them to find the arrangement that works best for them.
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what is the value of the sum $\frac{2}{3} \frac{2^2}{3^2} \frac{2^3}{3^3} \ldots \frac{2^{10}}{3^{10}}$? express your answer as a common fraction.
Expressed as fraction : [tex]$\frac{116050}{59049}$[/tex]
[tex]\begin{align*} S &= \frac{a(1-r^{n})}{1-r}= \frac{2}{3} \cdot \frac{1-\left(\frac{2}{3}\right)^{10}}{1-\frac{2}{3}}\\ & = \frac{2}{3}\cdot\frac{1-\frac{1024}{59049}}{\frac{1}{3}}=\frac{2}{3}\cdot\frac{3}{1}\cdot\frac{58025}{59049}=\frac{2\cdot58025}{59049}\\ & = \boxed{\frac{116050}{59049}}. \end{align*}[/tex][tex]S &= \frac{a(1-r^{n})}{1-r}= \frac{2}{3} \cdot \frac{1-\left(\frac{2}{3}\right)^{10}}{1-\frac{2}{3}}\\ & = \frac{2}{3}\cdot\frac{1-\frac{1024}{59049}}{\frac{1}{3}}=\frac{2}{3}\cdot\frac{3}{1}\cdot\frac{58025}{59049}=\frac{2\cdot58025}{59049}\\ & = {\frac{116050}{59049}}[/tex]
The sum S is calculated using the formula for an infinite geometric series, which states that the sum of the series is equal to the first term divided by 1 minus the common ratio.
The first term in the series is [tex]$\frac{2}{3}$[/tex], and the common ratio is [tex]$\frac{2}{3}$[/tex], so the sum is equal to [tex]$\frac{2}{3} \cdot \frac{1-(\frac{2}{3})^{10}}{1-\frac{2}{3}}$[/tex]
This expression simplifies to [tex]$\frac{2 \cdot 58025}{59049}$[/tex], or [tex]$\frac{116050}{59049}$[/tex]
Complete question:
What is the value of sum [tex]\frac{2}{3}+\frac{2^2}{3^2}+\frac{2^3}{3^3}+ \ldots +\frac{2^{10}}{3^{10}}[/tex]?
Express your answer as a common fraction
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what four intgers would give my the product -24
The four integers are -3, 8, -4, and 6.
i.e,
-3 x 8 = -24
-4 x 6 = -24
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
a x b = - 24
Where a and b are integers.
Now,
The factors of 24 are:
-1 x 24 = -24
-2 x 12 = -24
-3 x 8 = -24
-4 x 6 = -24
or
1 x -24 = -24
2 x -12 = -24
3 x -8 = -24
4 x -6 = -24
So,
The integers can be -1, -2, -3, -4, -24, -12, -8, and -6.
Thus,
The four integers can be -3, 8, -4, and 6.
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if you want to create a frequecy distribution table using the data below and want a class width of 5, how many intervals will you have? (hint: start the first interval at 25.)
There will be 8 intervals in the frequency distribution table with a class width of 5. The first confidence interval will start at 25 and the last interval will end at 50. The 8 intervals are 25-29, 30-34, 35-39, 40-44, 45-49, and 50.
When creating a frequency distribution table, the number of intervals and the class width are important factors to consider. The class width is the range of each interval, while the number of intervals is determined by the total range of the data and the desired class width. In this case, the data range from 25-50, and the desired class width is 5. To calculate the number of intervals, the data range is divided by the class width. In this case, (50-25)/5 = 8. Therefore, there will be 8 intervals in the frequency distribution table, with the first interval starting at 25 and the last interval ending at 50. The 8 intervals are 25-29, 30-34, 35-39, 40-44, 45-49, and 50. This frequency distribution table will provide a visual representation of the data, making it easier to analyze the data and draw conclusions.
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