Answer:
Math is a broad field that encompasses several branches, each with its own units of measurement. Some examples of units in math include:
In geometry:- Units of length, such as meters, centimeters, and inches
Units of area, such as square meters, square centimeters, and square feet
Units of volume, such as cubic meters, cubic centimeters, and cubic feet- Units of weight or mass, such as kilograms, grams, and pounds - Units of time, such as seconds, minutes, and hours
Units of temperature, such as Celsius and
Fahrenheit
Units of angle measurement, such as degrees and radians
Units of speed or velocity, such as meters per second or miles per hour
Units of frequency, such as Hertz or cycles per second
Units of energy or work, such as joules, calories, and foot-pounds
Units of power, such as watts and horsepower
These are just a few examples of the many units used in math. The type of unit used depends on the specific problem or application.
HOPE IT HELPS
PLEASE MARK ❣️‼️ ME AS BRAINLIEST .
Which expression is equivalent to 4−3(x+2)+2(3−2x)?
The expression is equivalent to 4 − 3(x + 2) + 2(3 − 2x) will be 4 − 7x. Then the correct option is A.
Given that:
Expression, 4 − 3(x + 2) + 2(3 − 2x)
The equivalent is the expression that is in different forms but is equal to the same value.
Simplify the expression, then we have
4 − 3(x + 2) + 2(3 − 2x)
4 − 3x − 6 + 6 − 4x
4 − 7x
Thus, the correct option is A.
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The missing options are given below.
4 − 7x
4 + 7x
7 − 4x
7 + 4x
The Following correlation was found between self-reported political orientation (1= Extremely Liberal; 4 = E Extremely conservativ and support for the legalization of medical marijuana (15 Strongly Against ; 5 - Strangly Support ). Is this comvelation Significant different from 0 (no relationship in the population? a. Fully interpret the sample correlation. That is, indicate the direction, the size, and define what the correlation means in the context of these two variables. b. State the hull as well as the alternative hypothesise Be sure to include symbols as well as words. C. Identify the critical value and draw the rejection regions. Be sure to note the alpha level lice, the criterion) and degrees of freedom associated with this valve d. Calculate the appropriate t- test to answer this question e. Reject or retain the hull hypothesis, make a statement regarding the population correlation, and interpret the p-value associated with the sample correlation lie, make a Statement regarding the likely hand of the Sample correlation if the null hypothesis is true)
If the null hypothesis were true, the sample correlation would be expected to be near 0, and it is very unlikely to obtain a correlation as strong as -0.67.
a. The sample correlation between self-reported political orientation and support for the legalization of medical marijuana is r = -0.67. This negative correlation indicates that as political orientation becomes more conservative (higher score), support for the legalization of medical marijuana decreases (lower score). The correlation is moderate in size, which means that there is a meaningful relationship between these two variables.
b. The null hypothesis is that there is no correlation between self-reported political orientation and support for the legalization of medical marijuana in the population, symbolized as H0: ρ = 0. The alternative hypothesis is that there is a correlation in the population, symbolized as Ha: ρ ≠ 0.
c. The critical value for a two-tailed test with alpha level α = 0.05 and n = 30-2 = 28 degrees of freedom is ±2.048. The rejection regions are the two tails of the t-distribution with this critical value.
d. The appropriate t-test to answer this question is a two-tailed test of the population correlation coefficient using the formula: t = r√(n-2) / √(1-r^2). Plugging in the values from the sample, we get: t = -3.29.
e. We reject the null hypothesis because the calculated t-value (-3.29) falls outside the rejection region (±2.048). This means that the sample correlation is significantly different from 0, and we have evidence to support the alternative hypothesis that there is a correlation in the population. The p-value associated with the sample correlation is p < 0.01, which means that there is less than a 1% chance of obtaining a correlation as extreme as the one observed in the sample if the null hypothesis is true. This suggests strong evidence against the null hypothesis. If the null hypothesis were true, the sample correlation would be expected to be near 0, and it is very unlikely to obtain a correlation as strong as -0.67.
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Find the value of x
Help please and show work!
Answer:
since 41° is vertically opposite to 2x+1 they are equal
so 2x+1=40 , 1 turns negative crossing the equals sign so 2x=40 so x=20
A circular region has a population of about 175,000 people and a population density of about 1318 people per square mile. Find the radius of the region. Round your answer to the nearest tenth.
The radius of the region is 11.55 mile.
We have,
Population = 175,000
So, population density
= 175,000 / 1318
= 132.77
and, the radius using from the population density
Radius = √area / (22/7)
= √1318 x 7/22
= 11.55 mile
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may someone help please math is hard!!
Answer:
11
Step-by-step explanation:
Volume of right cone = (1/3) · π · r² · h
V = 968π
h = 24 units
Let's solve
968π = (1/3) · π · r² · 24
2904π = π · r² · 24
121π = π · r²
121 = r²
r = 11
So, the radius is 11 units
find the dimensions of the following linear spaces. (a) the space of all diagonal 5 \times 5 matrices (b) p 7 (c) the space of all lower triangular 4 \times 4 matrices
The dimension of the space of all diagonal 5x5 matrices is 5. This is because there are 5 diagonal entries in a 5x5 matrix, and each of these entries can be any scalar, making the space spanned by 5 basis vectors.
You didn't provide enough information for part (b) "p 7". Please clarify the question for that part. The dimension of the space of all lower triangular 4x4 matrices is 10. In a lower triangular matrix, all entries above the diagonal are zero. For a 4x4 matrix, there are 4+3+2+1=10 non-zero entries, which can be any scalar, making the space spanned by 10 basis vectors.
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Express in the form of a rational number: 0.1212….
Answer:
[tex]0.1212...=\dfrac{4}{33}[/tex]
Step-by-step explanation:
A repeating decimal is a decimal number with a digit (or group of digits) that repeats forever.
There are three ways to show a repeating decimal:
Several duplicates of the repeating digit or block of digits, followed by an ellipsis, e.g. 0.3333... or 0.123123...A dot or a line above a repeated digit, e.g. [tex]\sf 0.\.{3}[/tex] or [tex]\sf 0.\overline{3}[/tex]A line above a repeating block of multiple digits, e.g. [tex]\sf 0.\overline{123}[/tex]0.1212... is a repeating decimal as there are two duplicates of the repeating block of digits "12" followed by an ellipsis.
To express a repeating decimal as a rational number, begin by assigning the decimal to a variable:
[tex]x=0.1212...=0.\overline{12}[/tex]
Multiply both sides by 100:
[tex]\implies x \cdot 100=0.\overline{12}\cdot 100[/tex]
[tex]\implies 100x=12.\overline{12}[/tex]
Subtract the first equation from the second to eliminate the part after the decimal:
[tex]\begin{array}{crcr}& 100x & = & 12.\overline{12}\\- & x & = & 0.\overline{12}\\\cline{2-4} & 99x & = & 12\phantom{.12}\\\end{array}[/tex]
Divide both sides of the equation by 99:
[tex]\implies \dfrac{99x}{99}=\dfrac{12}{99}[/tex]
[tex]\implies x=\dfrac{12}{99}[/tex]
Reduce the fraction to is simplest form by dividing the numerator and denominator by 3:
[tex]\implies x=\dfrac{12 \div 3}{99 \div 3}=\dfrac{4}{33}[/tex]
[tex]\textsf{Therefore, $0.1212...$ expressed in the form of a rational number is\;$\dfrac{4}{33}$}.[/tex]
PLEASE HELP!!!!!!!!!!Test scores for the 31 members of the algebra class are represented in the histogram below. How many students scored in the interval 80≤S<99
A. 13
B. 20
C. 17
D. 34
Answer:
option c
Step-by-step explanation:
as it is between 80 and closely 100 adding both the intervals gives 17
Let x represent number of years. The function $P\left(x\right)=10x^2+8x+600$ represents the population of Town A. In year 0, Town B had a population of 400 people. Town B's population increased by 100 people each year. From year 4 to year 8, which town's population had a greater average rate of change? Responses
Since 504 > 100, Town A had a greater average rate of change.
The given function is P(x)=10x²+8x+600 represents the population of Town A.
Here, x represent the number of years.
In year 0, Town B had a population of 400 people. Town B's population increased by 100 people each year.
P(x)=400+100x
We can calculate the average rate of change for each town by finding the difference between the population in year 8 and the population in year 4 and dividing by the number of years (4).
For Town A, we have:
P(8) - P(4) = 10(8² + 8(8) + 600 - (10(4²) + 8(4) + 600) = 2016
Average rate of change = 2016/4 = 504
For Town B, we have:
400 + (100×4) = 800
Average rate of change = 400/4 = 100
Since 504 > 100, Town A had a greater average rate of change.
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Which number is closer to -1/2, 0, and 1/2? 0. 35 -3/5 -0. 52 0. 25 3/5 -2/5
Among the given numbers, -0.52 is closer to -1/2, 0.35 is closer to 0, and 0.25 is closer to both 0 and 1/2.
To determine which number is closer to -1/2, 0, and 1/2, we need to find the absolute value of the difference between each number and the three given values, and then compare the results.
- For 0.35: The absolute value of the difference between 0.35 and -1/2 is approximately 0.85, the absolute value of the difference between 0.35 and 0 is 0.35, and the absolute value of the difference between 0.35 and 1/2 is approximately 0.15. Therefore, 0.35 is closer to 0 than to -1/2 or 1/2.
- For -3/5: The absolute value of the difference between -3/5 and -1/2 is approximately 0.05, the absolute value of the difference between -3/5 and 0 is approximately 0.6, and the absolute value of the difference between -3/5 and 1/2 is approximately 0.95. Therefore, -3/5 is closer to 0 than to -1/2 or 1/2.
- For -0.52: The absolute value of the difference between -0.52 and -1/2 is approximately 0.02, the absolute value of the difference between -0.52 and 0 is approximately 0.52, and the absolute value of the difference between -0.52 and 1/2 is approximately 1.02. Therefore, -0.52 is closer to -1/2 than to 0 or 1/2.
- For 0.25: The absolute value of the difference between 0.25 and -1/2 is approximately 0.75, the absolute value of the difference between 0.25 and 0 is 0.25, and the absolute value of the difference between 0.25 and 1/2 is approximately 0.25. Therefore, 0.25 is closer to 0 and 1/2 than to -1/2.
- For 3/5: The absolute value of the difference between 3/5 and -1/2 is approximately 1.15, the absolute value of the difference between 3/5 and 0 is approximately 0.6, and the absolute value of the difference between 3/5 and 1/2 is approximately 0.05. Therefore, 3/5 is closer to 0 than to -1/2 or 1/2.
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the figure below is reflected over x axis. what are the coordinates of the image of point v after this transformation
The point V(3, 5) is reflected over the x axis, the new point is V'(3, -5)
What is reflection?Reflection is a type of transformation. Transformation is the movement of a point either up, left, right or down in the coordinate plane.
Reflection is a rigid transformation because it conserves the size and shape of the figure.
If a point A(x, y) is reflected over the x axis, the new point is A'(x, -y)
The coordinate of point V is (3, 5). If the point is reflected over the x axis, the new point is V'(3, -5)
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AABC is rotated 90° clockwise about the origin.
-48
-16
-14
12
10
4
N
C(6. 12)
B(18,6)
A(12, 0)
24 6 8 10 12 14 16 18
What are the coordinates of B'?
A. (-18,6)
B. (-6, 18)
C. (6, 18)
D. (6, -18)
Two angles in triangle PQR are congruent, ∠P and ∠Q; ∠R measures 26.35°. What is the measure of ∠P?
127.3°
153.65°
26.35°
76.825°
The sum of all the three angles of a triangle is 180°.
x + x + 26.35° = 180°
2x = 180° - 26.35°
x = 76.825°.
Therefore, ∠P will be equal to 76.825°.
Answer:
∠P = 76.825°
Step-by-step explanation:
If angles P and Q are congruent, then triangle PQR is an isosceles triangle where ∠P and ∠Q are the base angles and ∠R is the apex angle.
The interior angles of a triangle sum to 180°. Therefore:
⇒ ∠P + ∠Q + ∠R = 180°
As ∠P = ∠Q and ∠R = 26.35°, then:
⇒ ∠P + ∠P + 26.35° = 180°
⇒ 2∠P + 26.35° = 180°
⇒ 2∠P + 26.35° - 26.35° = 180° - 26.35°
⇒ 2∠P = 153.65°
⇒ 2∠P ÷ 2 = 153.65° ÷ 2
⇒ ∠P = 76.825°
Therefore, the measure of angle P is 76.825°.
WHAT VALUE OF X WOULD MAKE THE INEQUALITY 55<6X-2 TRUE
The inequality is x > 9.5 and the numbers greater than 9.5
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
55 < 6x - 2
Adding 2 on both sides , we get
6x > 57
Divide by 6 on both sides , we get
x > 9.5
So , x satisfies all numbers greater than 9.5
Hence , the inequality is x > 9.5
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Triangle BHY is shown, where m
mLNYB= (3x +81)°.
H
B
a. Determine the value of x. Show your work.
Y
N
The value of x is equal to 17.
What is the exterior angle theorem?In Mathematics, the exterior angle theorem or postulate is a theorem which states that the measure of an exterior angle in a triangle is always equal in magnitude (size) to the sum of the measures of the two remote or opposite interior angles of that triangle.
By applying the exterior angle theorem, we can reasonably infer and logically deduce that the sum of the measure of the two interior remote or opposite angles in the triangle BHY is equal to the measure of angle x (∠NYB);
m∠BHY + m∠HBY = m∠NYB
(2x + 7)° + (8x - 18)° = (4x + 91)°
10x - 11 = 4x + 91
10x - 4x = 91 + 11
6x = 102
x = 102/6
x = 17.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
2. One candle, in the shape of a right circular cylinder, has a
height of 7.5 inches and a radius of 2 inches. What is the
volume of the candle? Show your work and round your
answer to the nearest cubic inch.
Use 3.14 for pi
The volume of the candle is approximately 94 cubic inches.
What is circular cylinder?
A circular cylinder is a three-dimensional solid object made up of two parallel and congruent circular bases and a curving surface connecting the bases.
The volume of a right circular cylinder is given by the formula:
V = πr²h
Where
V is the volumer is the radiush is the heightSubstituting the given values into the formula, we get:
V = 3.14 x 2² x 7.5
V = 3.14 x 4 x 7.5
V = 94.2
Rounding to the nearest cubic inch, we get:
V ≈ 94 cubic inches
Therefore, the volume of the candle is approximately 94 cubic inches.
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A square with sides measuring 5 millimeters each is drawn within the figure shown. A point within the figure is randomly selected.
What is the approximate probability that the randomly selected point will lie inside the square?
5.3%
8.4%
13.3%
18.1%
Answer:
C) 13.3%-------------------------
Area of square with side of 5 mm is:
A = a² = (5 mm)² = 25 mm²Find total area of the figure:
A(total) = A(trapezoid) + A(triangle)A(total) = (b₁ + b₂)h/2 + bh/2A(total) = (14 + 18)(17 - 12)/2 + 18*12/2 = 80 + 108 = 188Find the percent value of the ratio of areas of the square and full figure, which determines the probability we are looking for:
25/188*100% = 13.2978723404 % ≈ 13.3%This is matching the choice C.
3. State whether True or False
The level of significance can be viewed as the amount of risk that an analyst will accept while making a decision
Select one:
a. True
b. False
4. State whether True or False
One of the reasons that the data might not be linearly separable is because of the experimental errors that lead to errant data points.
Select one:
a. True
b. False
Outliers can affect the performance of the classifier and make it difficult to find a linear decision boundary.
True. The level of significance in statistics refers to the probability of making a Type I error, which is rejecting a true null hypothesis. It is typically denoted as alpha and set by the analyst or researcher prior to conducting a hypothesis test. It is considered the amount of risk that an analyst is willing to take in rejecting a true null hypothesis.
True. Linear separability is the ability to classify data points in a dataset using a linear decision boundary. If a dataset is not linearly separable, it means that a linear boundary cannot accurately classify all the data points. One of the reasons why this may happen is due to experimental errors that lead to errant data points. These outliers can affect the performance of the classifier and make it difficult to find a linear decision boundary.
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mandy collected 80 stamps last year, and collected 140 stamps this year. what was the percentage increase in her stamp collection
Answer:
75%
Step-by-step explanation:
We Know
Mandy collected 80 stamps last year.
Collected 140 stamps this year.
What was the percentage increase in her stamp collection?
We Take
(140 ÷ 80) x 100 = 175%
Then We Take
175 - 100 = 75%
So, the stamp collection increase by 75%
Sylvia owns a bookstore called The Happy Cat, currently valued at $175, 000. Determine the value of the business in 3 years if
Sylvia predicts 13% growth.
$285, 332.88
$252,506.98
$268,418.60
$223,457.50
Answer:
To calculate the value of the business in 3 years, we use the formula for compound interest:
A = P * (1 + r/100)^(t)
where A is the final amount, P is the initial amount, r is the annual interest rate as a decimal, t is the number of years.
A = $175,000 * (1 + 0.13/1)^(1*3) = $268,418.60
Therefore, the value of the business in 3 years is $268,418.60. Option C is the correct answer.
Two concentric circles form a target. The radii of the two circles measure 6 cm and 2 cm. The inner circle is the bullseye of the target. A point on the target is randomly selected. What is the probability that the randomly selected point is in the bullseye? Enter your answer as a simplified fraction in the boxes.
The probability that the randomly selected point is in the bullseye is: 1/3
How to find the probability?We are told that there are two concentric circles.
Now, the circles that have a common centre are referred to as concentric circles and have different radii. In other words, it is defined as two or more circles that have the same centre point. The region between two concentric circles are of different radii is known as an annulus.
Now, the bulls eye diameter of 4 cm since the radius is 2 cm
Meanwhile, the outer part forms a diameter of 8 cm.
Thus:
Probability of hitting the bulls eye = 4/12 = 1/3
Probability of hitting the outer part = 8/12 = 2/3
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What is the 22nd term of the arithmetic sequence where a2 = 9 and a8 = 24?
The 22nd term of the arithmetic sequence is 59.
We have,
2nd term of Arithmetic sequence= 9
and, 8th term = 24
So, a + d = 9....(1)
a+ 7d = 24...........(2)
Solving equation (1) and (2) we get
7d - d = 24 - 9
6d = 15
d = 5/2
and, a = 9 - 5/2 = 13/2
Now, the 22nd term of the sequence
= a + 21d
= 13/2 + 21(5/2)
= 13/2 + 105/2
= 118 /2
= 59
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16. Express the line 13x - 14y = 70 in slope intercept form
The line 13x - 14y = 70 expressed in slope-intercept form is y = (13/14)x - 5.
Here are the steps to follow:
Step 1: Start with the given equation, which is in standard form: 13x - 14y = 70.
Step 2: Solve for y to put it in slope-intercept form (y = mx + b, where m is the slope and b is the y-intercept).
First, subtract 13x from both sides of the equation:
-14y = -13x + 70
Next, divide both sides by -14:
y = (13/14)x - 5
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Un trozo de carbon vegetal que estaba inicialmente a 180 f experimenta una disminución de temperatura de 120 f
The change in temperature of the charcoal from 180°F to 60°F is equal to a decrease of approximately 2.2 degrees Celsius.
To convert Fahrenheit to Celsius, we can use the formula:
Celsius = (Fahrenheit - 32) × 5/9
We know that the initial temperature of the charcoal was 180°F, and it experienced a temperature drop of 120°F. To find the final temperature in Fahrenheit, we can subtract 120°F from 180°F:
Final temperature in Fahrenheit = 180°F - 120°F = 60°F
Now, we can convert the final temperature from Fahrenheit to Celsius using the formula above:
Celsius = (60°F - 32) × 5/9
Celsius = (28°F) × 5/9
Celsius = -2.2222...
Rounding the result to one decimal place, we get:
Celsius = -2.2 degrees Celsius (approx.)
It's worth noting that the Celsius scale is based on the metric system, which is the standard measurement system used in most countries worldwide. In contrast, the Fahrenheit scale is primarily used in the United States and a few other countries, making it less universal. Understanding how to convert between the two scales is crucial in various scientific, engineering, and technical fields.
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Complete question:
A piece of charcoal that was initially at 180°F experiences a temperature drop of 120°F. Express this change of temperature in Celsius degrees.
A new park is designed to contain a circular garden. The garden has a diameter of 50 m. Use 3.14 for π.
If the gardener wants to outline the garden with fencing, how many meters will the gardener need to outline the garden?
The circumference of the circle-shaped garden is 157 meters.
The gardener will need 157 meters of fencing to outline the garden.
We have,
The circumference of a circle is given by the formula C = πd, where d is the diameter.
Using this formula,
C = πd
C = 3.14 × 50
C = 157 meters
Therefore,
The circumference of the circle is 157 meters.
The gardener will need 157 meters of fencing to outline the garden.
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Netflix has a membership plan in which a person pays a flat fee of $10 plus $2 for each movie rented. Non members pay $4. 50 for each movie rented. Write a system of equations for each plan
The requried, system of equations is y = 2x + 10 and y = 4.50x.
Let's use the variables x and y to represent the number of movies rented and the total cost, respectively. Then, the two plans can be represented by the following equations:
For Netflix members:
y = 2x + 10
For non-members:
y = 4.50x
In the first equation, the $10 represents the flat fee that is charged regardless of how many movies are rented, and the $2x represents the additional cost based on the number of movies rented.
In the second equation, the $4.50x represents the cost per movie for non-members.
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Jevonte surveyed 400 of the students in his school about their favorite color. 95% said their favorite color was red. How many students' favorite color was red?
As per the combination method, out of the 400 students surveyed, 380 students chose red as their favorite color.
To solve this problem, we can set up an equation. An equation is a statement that shows the equality between two expressions. In this case, we can write:
(Number of students who chose red) / (Total number of students) = 95/100
We can simplify 95/100 to 0.95. Multiplying both sides of the equation by 400 (the total number of students), we get:
Number of students who chose red = 0.95 * 400
Simplifying the right-hand side of the equation, we get:
Number of students who chose red = 380
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Find the volume of each rectangular prism from the given parameters.
length = 19 in ; width = 17 in ; height = 13 in
best answer gets 55 points
There is a picnic table located along Path A. The table is located 1.5 miles along the path from the campsite. Which map shows the picnic table in the correct location?
The map that shows the picnic table in the correct location is illustrated below.
Firstly, we need to understand the concept of scale on a map. Maps are often drawn to scale, which means that the distances between different points on the map represent a proportional distance in real life. For instance, if one inch on the map equals one mile in real life, then two inches on the map would represent two miles in real life.
To do this, we need to locate the campsite on the map and measure out 1.5 miles along Path A. Once we have done this, we can mark this location on the map as the location of the picnic table.
However, we need to make sure that we are using a map that is drawn to scale. Otherwise, we might not be able to accurately measure the distance and locate the picnic table correctly.
Therefore, we need to examine the different maps that we have and find one that is drawn to scale. Once we have found a suitable map, we can measure out the distance from the campsite to the location of the table along Path A, and mark it on the map.
Finally, we can compare the location we have marked on the map with the location of the table as described in the problem. If they match up, we have found the correct location of the table on the map.
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Given the data below, what is the upper extreme?
4, 4, 1, 3, 8, 9, 15, 13, 4, 1
1
9
15
14
The upper extreme of the given data set is 15.
Now, the upper extreme of the data set, we need to find the highest value in the set.
The given data set is;
⇒ 4, 4, 1, 3, 8, 9, 15, 13, 4, 1
Thus, find the upper extreme, we need to sort the data set in ascending order:
⇒ 1, 1, 3, 4, 4, 4, 8, 9, 13, 15
Thus, The highest value in the data set is 15, which is the upper extreme.
Therefore, the upper extreme of the given data set is 15.
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