As per the value of angle of the triangle, we have identified that the ASA is congruent.
In math the term triangle refers the three sided triangle that contains the three angles, sides and edge.
Here we need to find the process to know if ASA is congruent.
According to the definition of triangle, here we must know the definition of congruent.
The term congruent is defined as if all three corresponding sides are equal and all the three corresponding angles are equal in measure.
In this theorem, we have to know that any two angles and the side included between the angles of one triangle are equivalent to the corresponding two angles and side included between the angles of the second triangle then those two triangles are said to be congruent by ASA rule.
Based on this rule, we have identify that if the two triangle have the same angle, then it said to be congruent as per the ASA rule.
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kate was trying to decide which type of frozen pizza to restock based on popularity: pepperoni pizza or sausage pizza. after studying the data, she noticed that pepperoni flavors sold best on the weekdays and on the weekends, but not best overall. which paradox has kate encountered? false negative benford's law false positive simpson's paradox save
Kate has encountered Simpson's Paradox because even though pepperoni pizza is the most popular flavor on weekdays.
Simpson's Paradox is the phenomenon that occurs when a trend appears to be in one direction when data is grouped in one way, but the trend is reversed when the data is grouped in another way.
In this case, Kate has encountered Simpson's Paradox because even though pepperoni pizza is the most popular flavor on weekdays, and again on the weekends when all the data is considered, the overall popularity of sausage pizza is greater.
Simpson's Paradox can be explained by the fact that the number of sausage pizza sales may be greater than the number of pepperoni pizza sales, even if the percentage of pepperoni pizza sales is higher.
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Kate has encountered the Simpson's Paradox. By definition, Simpson's Paradox is a phenomenon in which a trend appears in several different groups of data but disappears when these groups are combined. Option c is the right option
A relationship between two variables in a population might exist, vanish, or even change when the population is split up into subpopulations, a statistical phenomenon is known as Simpson's paradox.
Simpson's paradox is a statistical effect that arises when the marginal association between two categorical variables differs qualitatively from the partial association between the same two variables after adjusting for one or more other factors.
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What is the formula for solving mean deviation?
Formula for solving mean deviation is [tex]\frac{[\sum |X-\mu|]}{N}[/tex].
Mean Deviation Definition:
The mean deviation is defined as a statistical measure that is used to calculate the average deviation from the mean value of the given data set. The mean deviation of the data values can be easily calculated using the below procedure.
Step 1: Find the mean value for the given data values
Step 2: Now, subtract the mean value from each of the data values given (Note: Ignore the minus symbol)
Step 3: Now, find the mean of those values obtained in step 2.
Mean Deviation Formula
The formula to calculate the mean deviation for the given data set is given below.
Mean Deviation = [tex]\frac{[\sum |X-\mu|]}{N}[/tex]
Here,
Σ represents the addition of values
X represents each value in the data set
µ represents the mean of the data set
N represents the number of data values
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How do i solve this?
Answer: x = 1, 7, vertex is at (4, -9)
Step-by-step explanation:
To find the x-intercepts, we will factor and solve. Finding the x-intercepts is the same as finding the solutions, where f(x) = 0. -7 and -1 multiply to 7, and -7 + -1 = -8.
y = x² - 8x + 7
y = (x - 7)(x - 1)
x = 7 x = 1
Next, we can use this equation to help us find the x-value of the vertex.
[tex]\displaystyle \frac{-b}{2a} =\frac{8}{2(1)} =\frac{8}{2} =4[/tex]
Then, we will substitute this value back into the equation to solve for the y-value.
y = x² - 8x + 7
y = (4)² - 8(4) + 7
y = -9
The vertex is at (4, -9)
What is binomial theorem example?
The expression used to represent the binomial theorem example is equal to ( 5 + 0.1 )⁴ .
As given in the question,
Example used to represents the binomial theorem is written as:
( 5 + 0.1 )⁴
Compare it with standard form and apply binomial theorem to simplify the considered example:
( a + b )ⁿ = ⁿC₀aⁿb⁰ + ⁿC₁aⁿ⁻¹b¹ + ⁿC₂aⁿ⁻²b² +..............+ ⁿCₙa⁰bⁿ
Here in the considered example :
value of a = 5
value pf b = 0.1
value pf n = 4
Substitute the value in the formula to get the value using binomial theorem:
( 5 + 0.1 )⁴
= ⁴C₀5⁴(0.1)⁰ + ⁴C₁5⁴⁻¹(0.1)¹ + ⁴C₂5⁴⁻²(0.1)² + ⁴C₃5⁴⁻³(0.1)³ + ⁴C₄5⁴⁻⁴(0.1)⁴
= 5⁴ + 4(5)³(0.1) + 6(5)²(0.1)² + 4(5)(0.1)³ + (0.1)⁴
= 625 + 50 + 1.5 + 0.02 + 0.0001
=676.5201
Therefore, the example of the binomial theorem is given by ( 5 + 0.1 )⁴.
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What are the dimensions of AB?
Answer:
B
Step-by-step explanation:
the order of a matrix are given as
m × n ( m is the number of rows and n the number of columns
matrix A is of order 2 × 3
matrix B is of order 3 × 2
for the matrices to be conformable for multiplication then
the number of columns in A is equal to the number of rows in B
This is the case here , then the order of the resulting product is
AB : 2 × 3 × 3 × 2 the outer values , that is 2 × 2
What is the measure of the central size of this rotation?
The value of the angle of the arc in the wheel is equal to 135. The correct option is D.
What is an angle of an arc?An arc of a circle is a section of the circle's circumference between two radii. A circle's central angle is an angle formed by two radii with the vertex in the centre. The central angle of an arc is the central angle that the arc subtends. The length of an arc is equal to the length of its central angle.
The angle suspended by the arc on the wheel is 3/8 that of the one revolution of the wheel.
The value of the angle will be calculated as,
Angle = 3/8 x 360
Angle = 3 x 45
Angle = 135
Therefore, the value of the angle of the arc in the wheel is equal to 135. The correct option is D.
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What are 4 transformations?
The four types of transformations are Rotation, Translation, Dilation and Reflection
The term transformation in math is defined as a process of changing the position of every point on a plane in a way that satisfies certain rules.
The four types of transformations are defined as,
1) Translation - It is the form of transformation to move each point the same distance and direction
2) Dilation - This type of transformation is to expands or contracts the shape
3) Rotation - This one will rotates each point in the shape at a certain number of degrees around that point
4) Reflection - It means that each point in the shape is reflected over a line
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Tolong bantuin makasih
Answer:
hello im ur friend and im going to give u the answer next year
In a grouped frequency distribution, an interval is listed as 50-54. If we will assume that the scores are continuous in nature, what will be its width of interval?.
The width of the interval will be is 5 or ( 49.5 , 54.5 ) .
Given :
The minimum value is called the lower class limit and the maximum value is called the upper class limit. For class interval 50-54, the lower class limit is 50 and the upper class limit is 54.
Class boundaries are the numbers used to separate classes. It is the real limits of a class. For non-overlapping classes, the lower class boundary of each class is calculated by subtracting 0.5 from the lower class limit. The upper class boundary of each class is calculated by adding 0.5 to the upper class limit.
Example: For class interval 50-54, the lower class boundary is 49.5 and the upper class class boundary is 54.5
Considering the question given, to get the real limits of the interval 50-54, 0.5 is subtracted from the lower class limit to give 49.5. Also, 0.5 is added to the upper class limit to give 54.5.
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Two parallel chord of length 30 and 16 cm are drawn on the oppoite ide of the centre of the circle of radiu 17 cm. Find the ditance between the chord
the distance between the chord is 23 cm
It is given that AB = 30cm and CD = 16cm
Join the lines OA and OC
We know that AO = 17cm and CO = 17cm
Construct OM ⊥ CD and OL ⊥ AB
The perpendicular from the centre of a circle to a chord bisects the chord
We know that
AL = ½ × AB
By substituting the values
AL = ½ × 30
So we get
AL = 15cm
We know that
CM = ½ × CD
By substituting the values
CM = ½ × 16
So we get
CM = 8cm
Consider △ ALO
Using the Pythagoras theorem it can be written as
AO^2 = OL^2 + AL^2
By substituting the values
17^2 = OL^2 + 15^2
So we get
OL^2 = 17^2 - 15^2
On further calculation
OL^2 = 289 – 225
By subtraction
OL^2 = 64
By taking the square root
OL = √64
OL = 8cm
Consider △ CMO
Using the Pythagoras theorem it can be written as
CO^2 = CM^2 + OM^2
By substituting the values
17^2 = 82 + OM^2
So we get
OM^2 = 17^2 - 8^2
On further calculation
OM^2 = 289 – 64
By subtraction
OM^2 = 225
By taking the square root
OM = √225
OM = 15cm
So the distance between the chords = OM + OL
By substituting the values
Distance between the chords = 8 + 15 = 23cm
Therefore, the distance between the chords is 23 cm.
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What is the relationship between the volume of a prism and pyramid with congruent bases and heights?
The relationship between the volume of a prism and pyramid with congruent bases and heights is that the volume of pyramid is one-third of the volume of prism.
As the prism and pyramid have congruent bases and heights, let us consider the area of the triangular base is A and the height is h.
For a prism of base area A and height h, volume is determined by the formula
Vpm = A×h
For a pyramid of base area A and height h, volume is determined by the formula
Vpd = A×h/3
From both relations for volume
Vpd = Vpm/3
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What 2 digit number added to 27 is reversed?
We can claim that when two-digit numbers (14, 25, 36, 47, 58, and 69) are added to 27, the results are reversed.
What are 2-digit numbers?A number is referred to be a 2-digit number when it has two digits.
The range of 2-digit numbers, which have two digits, is 10 to 99.
They can't start with zero since it will be interpreted as a single-digit number.
The digit in the tens slot might be any value between 1 and 9.
The numbers 45, 78, and 12 all have two digits, for example.
So, we know:
14 + 27 = 41
25 + 27 = 52
36 + 27 = 63
47 + 27 = 74
58 + 27 = 85
69 + 27 = 96
Therefore, we can claim that when two-digit numbers (14, 25, 36, 47, 58, and 69) are added to 27, the results are reversed.
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You have 1 full pizza, out of which your friend ate one hundredth ix time from it. There i ome part of pizza left for you. How much you will get to eat ?
Pizza left for me equal to 0.94 part
Both rates and ratios are a comparison of two numbers.
A rate is simply a specific type of ratio.
The difference is that a rate is a comparison of two numbers with different units, whereas a ratio compares two numbers with the same unit.
For example, in a room full of students, there are 10 boys and 5 girls. This means the ratio of boys to girls is 10:5.
If we simplify the ratio, we see that the ratio of boys to girls is 2:1, since
10÷5=2and 5÷5=1
. Thus, there are 2 boys in the room for every 1 girl.
A friend ate 1/100 part of pizza 6 times
Totally , He have eaten= 1/100 * 6
=3/50
3/50 part of pizza he eaten = 0.06
Total pizza = pizza eaten + pizza left
pizza left = Total pizza - pizza eaten
= 1 - 0.06
= 0.94
pizza left for me equal to 0.94 part
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For example, in a room full of students, there are 10 boys and 5 girls. This means the ratio of boys to girls is 10:5.
If we simplify the ratio, we see that the ratio of boys to girls is 2:1, since
10÷5=2and 5÷5=1
Thus, there are 2 boys in the room for every 1 girl.
A friend ate 1/100 part of pizza 6 times
Totally , He have eaten= 1/100 * 6
=3/50
3/50 part of pizza he eaten = 0.06
Total pizza = pizza eaten + pizza left
pizza left = Total pizza - pizza eaten
= 1 - 0.06
= 0.94
pizza left for me equal to 0.94 part
What theorems apply to equilateral triangles?
Theorems related to equilateral traingle :
Theorem 1: The sum of measures of all 3 interior angles of a triangle is [tex]180^0[/tex].
Theorem 2: The angles opposite to equal sides are also equal in measure.
Theorem 3: The sum of the related internal angles is the measure of the exterior angle of a triangle.
Theorem 4:If a line splits any two triangle sides in the same proportion, it is parallel to the third side of the triangle.
Theorem 5: Each angle of an equilateral traingle have equal measure of [tex]60^0[/tex].
Theorem 6: Any two triangle sides can add up to a length that is longer than the third side.
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What is the formula for pyramids?
Formula for pyramids:
Volume V = /3 B*h
Surface area S = B + 1/2 p*s
Explain the formula for pyramids?A three-dimensional object's volume, which is expressed in cubic units, is a measure of the amount it can hold.A three-dimensional figure's surface area, which is expressed in square units, is a measurement of the entire area that the figure's surface encloses.The difference between both the height as well as slant height must be understood before we can determine the surface area and volume of a pyramid.A pyramid's height is measured perpendicularly from its apex to its base, while its slant height is measured angularly from of the apex to the midway of one of its triangular faces.
Here are the calculations for any pyramid's volume and surface area.
Volume V = /3 B*h
Surface area S = B + 1/2 p*s
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You can work no more than 60 hours each week at your two jobs. Dog walking pays $7 per hour and your sales job at Computers & More, Inc. pays $12 per hour. You need to earn at least $450 each week to pay your bills.
Your friend solves the system of inequalities and tells you that a possible solution is
Your question is incomplete but it could be this,
You can work no more than 60 hours each week at your two jobs. Dog walking pays $7 per hour and your sales job at Computers & More, Inc. pays $12 per hour. You need to earn at least $450 each week to pay your bills. Your friend solves the system of inequalities x + y < 60 and 7x + 12y > 450 and tells you that a possible solution is (-3, 50). Is this a possible solution, why or why not?
No, (-3, 50) is not a possible solution to the system of inequalities x + y < 60 and 7x + 12y > 450. The first inequality, x + y < 60, represents the constraint that the total number of hours you work at both jobs must be less than 60. The second inequality, 7x + 12y > 450, represents the constraint that the total amount of money you earn must be at least $450.
The solution (-3, 50) does not satisfy either of these constraints. The value of y, 50, represents the number of hours you work at the sales job, and is greater than the maximum value allowed by the first inequality. Additionally, the value of x, -3, represents the number of hours you work dog walking, which is negative. This is not possible, as you cannot work negative hours. Therefore, (-3, 50) is not a valid solution to the system of inequalities.
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valuate the function for f (−9) if f (x) =3/5x+
The value of the function at x = -9 will be 13/5. Then the correct option is A.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The function is given below.
f(x) = (3/5)x + 8
The degree of the function is one. Then the function is a linear function.
The value of the function at x = -9 will be given as,
f(-9) = (3/5)(-9) + 8
f(-9) = - 27 / 5 + 8
f(-9) = (- 27 + 40) / 5
f(-9) = 13 / 5
The value of the function at x = -9 will be 13/5. Then the correct option is A.
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The complete function is f(x) = (3/5)x + 8.
What are the roots of the quadratic X² 5x =- 6?
The root of the quadratic equation x² + 5x = -6 are -2 and -3.
Given that,
The quadratic equation x² + 5x = -6 with the variable x.
We have to find what are the root of the quadratic equation.
We know that,
Take the quadratic equation x² + 5x = -6
x² + 5x = -6
x² + 5x +6=0
Now find the factors for 6
6=2×3
So,
2+3=5
We get
x² + 2x + 3x+6=0
Taking the common terms
x (x+2) + 3(x+2)=0
(x+2) (x+3)=0
Now
x+2=0
x=-2
And
x+3=0
x=-3
Therefore, The root of the quadratic equation x²+5x = -6 are -2 and -3.
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I think these are wrong so I need answers
Answer:
Step-by-step explanation:
your right
What are the 3 ways to write a linear equation?
The 3 ways to write a linear equation is Slope-Intercept Form, Point-Slope Form, Standard Form.
1. Slope-Intercept Form: This form of linear equation is written as y = mx + b, where m is the slope of the line, x is the independent variable, and b is the y-intercept. This form of the equation can be used to graph the line by finding the x-intercept and y-intercept.
2. Point-Slope Form: This form of linear equation is written as y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line. This form of the equation can be used to graph the line by finding a second point on the line and connecting the two points.
3. Standard Form: This form of linear equation is written as ax + by = c, where a and b are not both 0, and c is a constant. This form of the equation can be used to graph the line by finding two points that satisfy the equation.
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A CD-Rom has 700 megabytes of storage space. What percent of the space is used by a file that takes up 154 megabytes?
A file that contains 154 megabytes occupies 22% of the available space.
How to calculate the percent of the space?We can calculate the percent of the space by using the following formula:
The percent of the space = used space / storage space × 100%
A CD-Rom holds 700 megabytes of data.
A file containing 154 megabytes occupies the space.
The percent of the space = used space / storage space × 100%
The percent of the space = 154 / 700 × 100%
The percent of the space = 0.22 × 100%
Apply the multiplication operation, and we get
The percent of the space = 22%
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√2x+6=-8
Please help!!
Answer:
no solution
Step-by-step explanation:
You want the solution to the radical equation √(2x+6) = -8.
AnalysisThe radical symbol is used to signify the positive square root. Whatever non-negative value (2x+6) may have, the left side expression returns a positive value for the root. It can never be equal to -8.
There is no solution to the given equation.
in a football game all of the home team points are from 7 point touchdowns and 3 point field goals. the team scores six times write and solve a system of linear equations fo find th enumbers of touchdowns and field goals that the hom team scores
The system of Linear equations is; y = 7x + 3(6 - x) and the solution is;
7 scores from touchdowns
15 scores from field goals
Total score of 22
How to solve a system of linear equations?Let the number of touchdowns be x
Let the total of the home team points be y
Thus, the number of field goals = 6 - x since the team scores 6 times.
Thus, since the home team points are from 7 point touchdowns and 3 point field goals, then it means we have the equation;
y = 7x + 3(6 - x)
where;
7x is scores from touchdowns
3(6 - x) is scores from field goals
Thus;
y = 7x + 18 - 3x
y = 4x + 18
Let's try x = 1 and we have;
7(x) = 7(1) = 7 scores from touchdowns
3(6 - 1) = 15 scores from field goals
y = 4(1) + 18
y = 22
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How do you graph a line with two independent variables?
To graph a line with two independent variables, you can use a three-dimensional coordinate system. The three dimensions of the coordinate system are the two independent variables and the dependent variable.
For example, suppose you have a line described by the equation y = 2x + 3z + 4. In this equation, x and z are the independent variables and y is the dependent variable. To graph this line, you would need to plot points in three-dimensional space, using the values of x, y, and z from the equation.
To do this, you can choose specific values for x and z, substitute those values into the equation to find the corresponding value of y, and plot those three values as a point in three-dimensional space. You can repeat this process for several different values of x and z to plot multiple points on the line. Once you have plotted enough points, you can connect them with a line to graph the equation in three dimensions.
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What is the median of the following set of scores 19 5 12 13 14?
The median for the given set of scores is 13.
The median is the middle point in a dataset—half of the data points are smaller than the median and half of the data points are larger.
Given,
A set of scores 19, 5, 12, 13, 14.
Arranging the set of numbers in ascending order,
=> 5,12,13,14,19
For a total of an odd number of outcomes, the median is defined as the middlemost value after sorting the data in ascending (OR) descending order.
For a total of an even number of outcomes, the median is calculated as the average of the two middlemost values after sorting the data in ascending (OR) descending order.
The total number of terms in the given data is 5, Hence the middlemost value is (5+1)/2 rd value is considered as the median,
Median= 3rd term = 13
Therefore, the median for the given set of scores is 13
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a north carolina licence plate consists of a sequence of seven symbols: number, letter, letter, letter, number, number, number, where a letter is any one of 26 letters and a number is one among 0, 1, . . . , 9. assume that all license plates are equally liely. (a) what is the probability that all symbols are different? (b) what is the probability that all symbols are different and the first number is the largest among the numbers?
The answers to both the subparts using probability are shown:
(A) The probability that every sign is unique is 378/845.
(B) The probability that each sign is unique and that the first number is the biggest one among the others is 189/1690.
What is probability?Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true.
The probability is calculated by dividing the total number of outcomes by the total number of potential events.
Odds and probability are two different concepts.
Calculating odds involves dividing the probability of an event by the probability that it won't happen.
(A) Since there are three positions for letters and four places for numbers.
Consequently, the final result will be 10⁴×26³.
Since each letter and number should be distinct, the necessary probability is:
= 10 * 9 * 8 * 7 * 26 * 25 * 24 / 10⁴ * 26³
= 378/845
(B) In this instance, the likelihood that the first number will be the greatest among the four numbers is 1/4 because it should be.
In order to obtain the result, multiply the result in (a) by 1/4 as follows:
= 378/845 * 1/4
= 189/1690
Therefore, the answers to both the subparts using probability are shown:
(A) The probability that every sign is unique is 378/845.
(B) The probability that each sign is unique and that the first number is the biggest one among the others is 189/1690.
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672,342 = 6.72342 × 10n
what is the value of n?
5
3
4
6
Answer: 5
Step-by-step explanation: If n is the exponent and the base is 10, 6.72342 is to be multiplied by 10 power 5 to give the answer as 672342.
6.72342 * 10^5 = 6.72342 * 100000
= 672342
does someone mind helping me with this? Thank you!
Try the slop formula. x1 - x2 over y1 - y2. Also, try to cross multiply what you already have.
[tex]\displaystyle\\Answer:\ y=-\frac{3}{2}x+1[/tex]
Step-by-step explanation:
The condition of perpendicularity of the two lines given by the equations:
[tex]\displaystyle\\\left \{ {{y_1=m_1x+b_1} \atop {y_2=m_1x+b_2}} \right.[/tex]
is the relation: m₁ x m₂=-1
[tex]\displaystyle\\Hence,\ m_2=-\frac{1}{m_1}[/tex]
[tex]\displaystyle\\Given: y=\frac{2}{3}x+\frac{2}{3}\ == > \ m_1=\frac{2}{3} \\\\Thus,\ m_2=-\frac{1}{\frac{2}{3} } \\\\m_2=-\frac{3}{2}[/tex]
The equation of the Point-Slope Form is expressed as:
y-y₁=m(x-x₁)
(-2,4) that is x₁=-2 y₁=4
[tex]\displaystyle\\Therefore,\\\ y-4=-\frac{3}{2} (x-(-2))\\\\y-4+4=-\frac{3}{2} (x+2)+4\\\\y=-\frac{3}{2}(x)-\frac{3}{2}(2) +4\\\\y=-\frac{3}{2}x -3+4\\\\y=-\frac{3}{2}x+1[/tex]
What is the median of the following data 1 4 7 3 9 5 3 2 7 5?
The median of the given data is 4.5.
The middle value in a sorted, ascending, or descending list of numbers is known as the median, and it has the potential to describe a data collection more accurately than the average does. It reflects the midway of the data since it is the point above and below which half (50%) of the observed data falls.
For finding the median, the data should be arranged in ascending or descending order first.
Arranging the data in ascending order, we get 1, 2, 3, 3, 4, 5, 5, 7, 7, 9.
There is an even number of observations.
Hence the median is the mean value of (n/2)th and [(n/2)+1]th term.
Here, the 10/2th term = 5th term which is 4
[(n/2)+1]th term= 6th term which is 5
thus, 4+5/2 = 4.5
Hence, the median of the given data is 4.5.
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What are 4 parts of a function?
The 4 parts of a function are Function name, Parameters ,Body, Return statement.
1. Function name: This is the name of the function, which is used to identify the function and call it when needed. It should be descriptive, so that it is easy to understand what the function does.
2. Parameters: Parameters are values that are passed into the function when it is called. They are used to provide the function with the necessary data it needs to perform its task.
3. Body: This is the code that will be executed when the function is called. It contains the instructions that the function needs to perform its task.
4. Return statement: This is the statement that is used to return the result of the function. It can be used to return a value or object. It can also be used to return a status code, such as success or failure.
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