To find the expected value of the sum of the numbers on the two selected pieces of paper, we need to calculate the probability of each possible outcome and then multiply that probability by the value of the outcome. The expected value of the sum of the numbers on the two selected pieces of paper is 6.1625.
Therefore the answer is 6.1625.
The possible outcomes for the first bag are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, each with a probability of 1/10.
The possible outcomes for the second bag are 20, 21, 22, 23, 24, 25, 26, 27, each with a probability of 1/8.
The possible outcomes for the sum of the numbers on the two selected pieces of paper are:
(1,20) ,(1,21) ,(1,22) ,(1,23) ,(1,24) ,(1,25) ,(1,26) ,(1,27)
(2,20) ,(2,21) ,(2,22) ,(2,23) ,(2,24) ,(2,25) ,(2,26) ,(2,27)
(3,20) ,(3,21) ,(3,22) ,(3,23) ,(3,24) ,(3,25) ,(3,26) ,(3,27)
...
(10,20) ,(10,21) ,(10,22) ,(10,23) ,(10,24) ,(10,25) ,(10,26) ,(10,27)
The expected value of the sum of the numbers on the two selected pieces of paper is the sum of the products of each possible outcome and its corresponding probability.
The probability of each outcome is (1/10) * (1/8) = 1/80
So the expected value of the sum of the numbers on the two selected pieces of paper is
(1 + 21)×(1/80) + (1 + 22)×(1/80) + (1 + 23)×(1/80) + (1 + 24)×(1/80) + .... + (10 + 27)×(1/80) = (21 + 22 + 23 + 24 + ... + 37)/80
= (20×17 + 1 + 2 + ... + 17)/80
= (340 + 17×(17 + 1)/ 2)/ 80
= (340 + 17×9)/ 80
= 6.1625
So the expected value of the sum of the numbers on the two selected pieces of paper is 6.1625
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A rectangle has an area of 16x + 24. What could the length and width of the rectangle be
The length and width of the rectangle will be 2 and 8x + 12
Area of rectangle = 16x + 24.
A rectangle is a four-sided geometric shape having opposite sides that are equal in length and four right angles. The length and width of the rectangle are its opposing sides.
A rectangle's area is found by multiplying its length and width together, so:
Area = length x width
Calculating the length and width of the rectangle -
Factoring out 2 from the equation -
Therefore -
2 (8x+12)
Since, the area is the length times width, thus -
2 x (8x+12)
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There are 2 pitchers of iced tea. The iced tea in the 1st one was made with 4 tea bags and 1.25 quarts of water. The iced tea in the second pitcher was made with 5 tea bags and 2 quarts of water. Which pitcher has a higher concentration of tea? Why?
Answer:
Pitcher 2
Step-by-step explanation:
Pitcher 1 = 4 x 1.25 = 5ml concentration
Pitcher 2 = 5 x 2 = 10ml concentration
therefore, pitcher 2 has more concentration :)
hope this helped
Which of the following ordered pairs are in the solution set of 0.5x - y>2? (Is it solved for y)
Answer:
Any ordered pair #(x, y)# that satisfies #x>=6+4y#Or, in set notation, #Solution={(x, y)|x>=6+4y}#Explanation:Now, there is a little problem here - it is that you never specified which ordered pair needs to be evaluated to satisfy the condition #0.5x-2y>=3# Allow me to explain.Below is a graph of the inequality of your question:graph{0.5x-2y>=3 [-10, 10, -5, 5]}To answer which point is in the solution set, well the answer is that any point that is on or within the shaded area is part of the solution set.
Step-by-step explanation:
Exit ticket
The length of the sides of two triangles is as follows:
ZY = 14, YX = 9, XZ = 8 PR = 5, RQ = 7, and QP = 4
is AZXY~ AQPR? Use a flowchart to organize your facts and conclusions.
Therefore , the solution of the given question triangle comes out to be
triangle PQR to triangle ZXY is 3/2
Defining a triangleYou can link any three points in a plane to form triangles, which have three sides and three angles. They were among of the first geometric forms to be examined. Since triangles may be divided into any polygon, regardless of whether it has four, five, six, or n sides, they are very significant.
Here,
Consider PR and ZY as a point of comparison.
PR = 5
ZY = 14
Suppose the scaling factor is r and that
5 * r = 14
r = 14 / 5
r = 14/5
examining other sides
RQ to PR
right 5 * 12/3 = 20
To YX, QP
Correct answer is 4 * 9/3 = 12.
Thus,
triangle PQR to triangle ZXY
Therefore , Triangle PQR to Triangle ZXY equals 3/2, which is how the given question's solution is determined.
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[tex]w + 29 = 250 \div 5 - 20[/tex]
Find the value of w
Answer:
I don't know I am sorry bro
Neil work a a conultant at a oftware company. The amount of hi annual bonu i baed upon the number of hour he work. B = the amount of Neil' bonu
h = the number of hour Neil work
Which of the variable i independent and which i dependent?
The independent variable is h (the number of hours Neil works) and the dependent variable is B (the amount of Neil's bonus).
In this scenario, the amount of Neil's bonus (B) is dependent on the number of hours he works (h). The number of hours he works is the input or independent variable, while the amount of bonus he receives is the output or dependent variable. It can be said that the number of hours he works is the cause and the amount of bonus is the effect.
The equation is B = f(h) where f is the function that relates the two variables.
Thus, the independent variable is h (the number of hours Neil works) and the dependent variable is B (the amount of Neil's bonus).
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Complete Question is-
Neil works as a consultant at a software company and the amount of his annual bonus is based on the number of hours he works, which variable is independent and which is dependent? With B as the amount of Neil's bonus, and h as the number of hours Neil works.
PLEASE HELP!!!!
Pls answer all questions and show the work!!
Read the link attached.
I have written it down on the word doc
What i the equation of the line that pae through the point (−8, −10) and (6, 3)? Write your anwer in lope-intercept form
The equation of the line that passes through the points (−8, −10) and (6, 3)in slope-intercept form is y = (13/14) x - 18/7.
The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.
The slope-intercept form of the equation of a line is given by the formula:
y = mx + b
where m is the slope of the line
b is the y- intercept
Given the two points, (−8, −10) and (6, 3), get the slope of the line using the formula:
m = (y₂ - y₁) / (x₂ - x₁)
m = (3 - -10) / (6 - -8)
m = 13 / 14
Using the slope-intercept form, plug in the value of the slope and one point to determine the y-intercept, b.
y = mx+ b
-10 = (13/14)(-8) + b
b = -18/7
Substitute the value of the slope and y-intercept in the slope-intercept form.
y = mx + b
y = (13/14) x - 18/7
Hence, the equation of the line in slope-intercept form is y = (13/14) x - 18/7.
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What are the angles of a 5 12 13 triangle?
The angles of a 5-12-13 triangle are A = 81.19°, B = 48.76°, and C = 9.98°.
The angles of a triangle are determined by the triangle's side lengths. This is known as the Law of Cosines. To determine the angles of a 5-12-13 triangle, we can use the Law of Cosines formula:
Cos(A) = (b² + c² - a²) / 2bc
In this equation, A is the angle opposite side a, b is the angle opposite side b, and c is the angle opposite side c. In a 5-12-13 triangle, a = 5, b = 12, and c = 13.
Using the Law of Cosines formula, we can calculate the angle A:
Cos(A) = (12² + 13² - 5²) / 2(12)(13)
Cos(A) = (144 + 169 - 25) / 156
Cos(A) = 278 / 156
Cos(A) ≈ 1.78
Using a calculator, we can calculate the angle A:
A = cos-1 (1.78)
A ≈ 81.19°
Using the same Law of Cosines formula, we can calculate the other two angles of the triangle:
Cos(B) = (a² + c² - b²) / 2ac
Cos(B) = (5² + 13² - 12²) / 2(5)(13)
Cos(B) = (25 + 169 - 144) / 65
Cos(B) = 50 / 65
Cos(B) ≈ 0.77
Using a calculator, we can calculate the angle B:
B = cos-1 (0.77)
B ≈ 48.76°
We can also calculate the angle C:
Cos(C) = (a² + b² - c²) / 2ab
Cos(C) = (5² + 12² - 13²) / 2(5)(12)
Cos(C) = (25 + 144 - 169) / 60
Cos(C) = 10 / 60
Cos(C) ≈ 0.17
Using a calculator, we can calculate the angle C:
C = cos-1 (0.17)
C ≈ 9.98°
Therefore, the angles of a 5-12-13 triangle are A = 81.19°, B = 48.76°, and C = 9.98°.
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What is the coefficient of y2 in the expression 2x2y 15xy2 7y?
Let x be the coefficient of y^2 in the expression 2x^2y+15xy^2-7y. So x=0.
What is co-efficient?
A coefficient is a multiplicative factor in a polynomial, series, or expression in mathematics. It is typically a number, although it can also be any expression (including variables such as a, b and c). They may also be referred to as parameters if the coefficients are variables in and of themselves.
Write an example of co-efficient.
As an illustration, 6z stands for 6 times z. Since z is a variable, 6 is a coefficient. For variables without a value, the coefficient is 1.
The given algebraic expression is 2yx^2+15xy^2-7y.
The terms are xy^2, yx^2 any y^2
So the co-efficient of y^2 is 0
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9m-4n=1
11m-3n=5 in simontaneous equation
The values of the variables are n = -17/31 and m = 23/93
How to determine the valuesFrom the information given, we have the equations;
9m-4n=1 equation 111m - 3n = 5 equation 2To solve the simultaneous equation, we have to take the following steps
Make 'm' the subject from equation 1
9m = 1 + 4n
Divide both sides by 9, we get;
m = 1 -4n/9
Substitute the value into equation (2), we have;
11(1 -4n/9) - 2n = 5
expand the bracket
11 - 44n/9 - 2n = 5
find the LCM
11 - 44n - 18n /9 = 5
cross multiply
11- 62n = 45
collect like terms
-62n = 45 - 11
-62n = 34
Make 'n' th subject
n = -34/62
n = - 17/31
Substitute the value into equation (3)
m = 1 - 4(-17/31)/9
m = 1+68/31 ÷9
m = 69/31 × 1/9
m = 69/279
m = 23/93
Hence, the values are n = -17/31 and m = 23/93
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If radii of two concentric circle are 28 cm and 18 cm respectively if the perimeter and the area of the circle are numerically equal then find the radius of the circle
1. The area of two concentric circles with radii 28 cm and 18 cm is 460π cm^2.
2. If the perimeter and the area of the circle are numerically equal then find the radius of the circle is 2 units.
What are concentric circles?
Concentric circles are those that share a common centre but have differing radii. It is described as two or more circles with the same centre, in other words.
The radii of two concentric circles are 28 cm and 18 cm.
The bigger circle has a radius of r1=28 cm and the smaller circle has the radius of r2=18 cm.
Area of two concentric circles is -
A = π[(r1)^2-(r2)^2]
A = π[(28)^2-(18)^2]
A = π[(28+18)(28-18)]
A = π[46 × 10]
A = 460π cm^2
Therefore, the area of concentric circle is 460π cm^2.
The formula for perimeter of the circle is 2πr, and the formula for the area of the circle is πr^2, where r is the radius of the circle.
Now, according to the data given the perimeter and area of the two circles are equal.
So, the equation will be 2πr = πr^2.
2πr = πr^2
2π = πr
r = 2 units
Therefore, the radius is 2 units.
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1. If radii of two concentric circle are 28 cm and 18 cm respectively. Find the area of the concentric circles.
2. If the perimeter and the area of the circle are numerically equal then find the radius of the circle.
Grant reads as part of his homework each week. he must read for at least 4 hours each week as part of his homework. This past weekend, he reads for 1.5 hours. Grant makes a graph of the inequality 5n +1.5 greater than or equal to 4 to determine all the numbers,n,of hourse he could read on each of the 5 weekdays this week. The graph is shown. Which describes the solution set of the inequality? A. all whole-number values of n that are at least 1 B.all whole-number values of n that are greater than 1 C.all rational-number values of n that are at least 0.5 D.all rational-number values of n that are greater than 0.5
A statement which correctly describes the solution set of the given inequality include the following: C. all rational-number values of n that are at least 0.5.
What is a rational number?In Mathematics, a rational number can be defined a type of number which comprises fractions, integers, terminating or repeating decimals such as the 12, 0.5, √16, etc.
Next, we would translate the word problem into algebraic inequality and then solve for the value of n as follows;
5n + 1.5 ≥ 4
Subtracting 1.5 from both sides of the algebraic inequality, we have:
5n + 1.5 - 1.5 ≥ 4 - 1.5
5n ≥ 2.5
Dividing both sides of the algebraic inequality y 5, we have:
n ≥ 2.5/5
n ≥ 0.5
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During two games, the number of points scored by a basketball team Increased from 75 to 87. By what percentage
did the number of points scored increase?
The percentage of increase in the number of points is 16 %
What Does Percent Mean?
A ratio or figure stated as a fraction of 100 is called a percentage. The percent marker is frequently used to indicate it,%
given the data,
The basketball team's total point total was 75.
The basketball team's enhanced point total was 87.
The difference between the basketball team's total points scored and its increased points are the increase in points.
The increase in points = 87 - 75
= 12 points
So, the percentage increase in points = ( increase in points/number of points scored by the basketball team ) x 100
The percentage increase in points = ( 12 / 75 ) x 100
= 0.16 x 100
= 16 %
Therefore, the percentage increase is 16 %
Hence, the percentage of increase in the number of points is 16 %
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write the rule x= 10, -4, 0, 5, -2
y= 29, -13, -1, 14, -7
10=29
-4=-13
0=-1
5=14
-2=-7 help asap!!
The rule for the given set of data is y = 3x - 1.
What is rule in function?The relationship between dependent and independent variables, expressed as an equation, is referred to as a function rule. In order to calculate the value of the dependent variable, say y, in terms of the independent variable, say x, one must follow a specific function rule.
A function rule can be defined as the procedure that transforms an input value into an output in plain English.
Lets put two of the points in slope formula
y - y₁ = m(x - x₁)
29 - (-13) = m(10 - ( -4))
42 = m14
m = 42/14
m = 3
Now lets make the equation
y - 29 = m(x - 10)
y = 3x - 30 + 29
y = 3x - 1
Thus, the rule for the given set of data is y = 3x - 1.
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Find the greatest common factor of $144$ and $405$.
Answer:
Step-by-step explanation:
Find the prime factorization of 144
144 = 2 × 2 × 2 × 2 × 3 × 3
Find the prime factorization of 405
405 = 3 × 3 × 3 × 3 × 5
To find the GCF, multiply all the prime factors common to both numbers:
Therefore, GCF = 3 × 3
Answer = 9
Which fraction is greater 28/16 or 7/4
Answer:
business plan proposal
Answer:
we have to make the denominator of both the fraction same so that we can compare.
We have to multiplybboth nominator and denominator by 6.then,
7×6/4×6=28/16
Now, comparing 28/6 and 28/6 we get to know that both the fraction are proportional.i.e.28/16=7/4
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Which graph best represents a function with a domain of all real numbers greater than or
equal to 1 and less than or equal to 2?
The graph best represents a function with a domain of all real numbers greater than or equal to 1 and less than or equal to 2 are area between equation x + y [tex]\geq[/tex] 1 and x + y [tex]\leq[/tex] 2 .
Which function has a domain that includes all real numbers?The collection of all potential inputs for a function is known as its domain. For instance, the domain of f(x)=x2 is all real numbers, and the domain of g(x)=1/x is all real numbers other than x=0.
How do you plot all real values on a graph?The real numbers are all the numbers that make up the real number line, per definition. Thus, all real numbers can be graphed by simply drawing a number line. The number line is a graph of all real numbers since it contains all of the rational numbers.
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A 40-liter fish tank is being filled with a faucet at a constant rate of 2 liters per minute. Before the faucet is turned on, the fish tank has a volume of 3 liters. The volume of water V in the fish tank is a function of time t. Time is measured in minutes and volume of water is measured in liters. Use the equation to complete the function table.
The volume of water in the fish tank for the given time value is 0, 5, 7, 9, 11, and 13 liters.
The equation V = 3 + 2t expresses a time function, which represents the volume of fish tank as a function of time. It means that after t time, volume V is given by the equation. In the given table. t = 0,1,2,3,4,5. Hence, the volume can be determined by substituting the value of t in the equation.
When t = 0
V = 3 + 2(0) = 3 liter
When t = 1
V = 3 + 2(1) = 5 liter
When t = 2
V = 3 + 2(2) = 7 liter
When t = 3
V = 3 + 2(3) = 9 liter
When t = 4
V = 3 + 2(4) = 11 liter
When t = 5
V = 3 + 2(5) = 13 liter
Note: The question is incomplete. The complete question probably is: A 40-liter fish tank is being filled with a faucet at a constant rate of 2 liters per minute. Before the faucet is turned on, the fish tank has a volume of 3 liters. The volume of water V in the fish tank is a function of time t. Time is measured in minutes and volume of water is measured in liters. Use the equation V = 3 + 2t to complete the function table.
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True or False? A rectangle's area is found by adding the length of the sides and its perimeter is found by multiplying the base by the height.
Answer: The Answer is false!
Step-by-step explanation:
The area of a rectangle is found by multiplying the length by the width.
The foundation for a new high school building is rectangular in shape, and the area is [tex]5x^3 + 4x^2 - 10x - 8[/tex] square meters. Factor by grouping to find expressions for the dimensions of the building
The dimensions of the building are (x² - 2)(5x + 4). The result is obtained by using the expression for the dimensions.
How to factor by grouping?Grouping is a specific technique used to factor polynomial equations. You can use it with quadratic equations and polynomials that have four terms. The method is slightly different.
Here is how to factor by grouping:
Look at the equation and find the master product (ac).Find the factors of ac that the sum is equal to b.Split the center term into two factors.Group the terms to form pairs.Factor out each pair and factor out the shared parentheses.The area of the new high school building in a rectangular shape is 5x³ + 4x² - 10x - 8. Factor by grouping to find the dimensions!
Follow the steps on how to factor by grouping.
5x³ + 4x² - 10x - 8
= (5x³ + 4x²) - (10x - 8)
= x²(5x + 4) - 2(5x - 4)
= (x² - 2)(5x + 4)
Hence, the dimensions of the building are (x² - 2)(5x + 4).
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Andrew grew 4 1/3 inches during a 3 1/2 month growth spurt. If his growth spurt continued at the same rate, how much did he grow in one month
If his growth spurt continued at the same rate Andrew will grow 26/7 inches per month during that growth spurt.
Describe age calculation.To calculate someone's age, you would subtract their birth year from the current year. For example, if someone was born in 1995 and it is now 2020, their age would be calculated as 2020 - 1995 = 25 years old.
If you have a birthdate, you can use a date calculator to find the exact age in years, months and days.
It's also important to note that, if the person's birthday hasn't occurred yet in the current year, you would subtract the birth year from the current year minus one.
We can start by converting the mixed number 4 1/3 to an improper fraction by multiplying the whole number by the denominator and adding the numerator: 4 x 3 + 1 / 3 = 13/3
To find out how much Andrew grew per month, we need to divide the total growth by the number of months.
13/3 inches / 3 1/2 months = (13/3) / (7/2) = (13/3) x (2/7) = 26/7 inches/month.
So, Andrew grew 26/7 inches per month during that growth spurt.
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What is the perimeter of 4?
The perimeter of a shape with 4 sides is equal to the sum of its sides multiplied by itself, which in this case is 4 multiplied by 4, resulting in a perimeter of 16.
Step 1: Calculate the length of each side by multiplying 4 by 4.
Step 2: Add the lengths of each side together to get the perimeter.
Step 3: The perimeter of the shape with 4 sides is equal to 16.
The perimeter of a shape is the sum of the lengths of its sides. To calculate the perimeter of a shape with 4 sides, you need to find the length of each side. To do this, you can multiply the length of one side by itself. For example, if the length of one side is 4, the length of each side would be 4 multiplied by 4, which is 16. Therefore, the perimeter of a shape with 4 sides is equal to 16. To calculate the perimeter of a different shape with an unknown number of sides, you can add up the lengths of each side to get the total perimeter. This is a useful way to measure the size of a shape and can be used to calculate the area of a shape by dividing the perimeter by the number of sides.
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55 pecans put them in 2 buckets where one has 15 more than the other
The number of pecans in each bucket will be 20 and 35.
How to illustrate the expression?From the information, there are 55 pecans are put in 2 buckets where one has 15 more than the other. An expression show the relationship between the variables.
In this case, 55 pecans put them in 2 buckets where one has 15 more than the other.
This will be:
x + x + 15 = 55
2x + 15 = 55.
Collect the like terms
2x = 55 - 15
2x = 40
Divide
x = 20
The other number will be:
x + 15.
= 20 + 15
= 35
The numbers are 20 and 35.
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55 pecans are put in 2 buckets where one has 15 more than the other. What is the amount in each bucket.
Brie bought a rug for her bedroom. The area of the rug measures 25 square feet. Her bedroom is ten feet wide and twelve feet long. Using the given measurements, what is the amount of her bedroom NOT covered by the rug
The area of bedroom rug is 15 square feet. the longer side measures 5 feet. his living room rug is twice as long and twice as wide as the bedroom rug.
What is area?Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.Take a pencil and draw a square on a piece of paper. It is a 2-D figure. The space the shape takes up on the paper is called its Area. Now, imagine your square is made up of smaller unit squares. The area of a figure is counted as the number of unit squares required to cover the overall surface area of that particular 2-D shape. Square cms, square feet, square inches, square meters, etc., are some of the common units of area measurement.To find out the area of the square figures drawn below, draw unit squares of 1-centimeter sides. Thus, the shape will be measured in cm², also known as square centimeters.To learn more about square centimeters refer to:
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What ordered pair is a solution to the system of linear equations?
Solutions of a system of an equations are given with the values of the variables which make all the equations true in which a solution of a system of given two linear equations is represented in an ordered pair (x, y) as explained with example below:
An example of a system of two linear equations in an ordered pair , in order to show the two equations that are arranged together to form a system of equations in an linear form .
let , 2x + y = 7,
x- 2y = 6
A linear equation which consists of two variables, as 2x + y = 7, has an infinite number of solutions. in which the graph of a equation is a line. we know that every point on the line is a required solution to the equation and every solution of an equation is a point on the line.
To solve a system of two linear equations in an ordered pair , we want to find the values to particular variables that are solutions to both linear equations. In other words, we are expecting for the ordered pairs (x, y) that make both equations valid . These type of equations are known as solutions to a system of equations.
hence , the solutions of a system of equations are the values of the variables that make all the valid and obeyed equations are true. and solution of a system of two linear equations is represented always in an ordered pair (x, y) .
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Find each measure for the given set of data: 11, 13, 17, 20, 22, 25, 27, 31, 31, 33
The values of mean ,median, range and inter quartile range could be 23,23.5,22,14 respectively.
What is mean ?
mean can be defined as the ratio of sum of the total observations and the number of total observations.
Given set of data
11,13,17,20,22,25,27,31,31,33
Mean = 11 +13+17+20+22+25+27+31+31+33/10
= 230/10
=23
Hence mean = 23
The (n/2)th term= the 5th term
=22
The (n/2+1) term = The 6th term
= 25
The median = 22+25/2
=23.5
Range = Highest term - lowest term
=33- 11
=22
Here lower half {11,13,17,20,22}
The middle number of lower half is first quartile.
Q₁ = 17
And lower half is{25,27,31,31,33}
The middle number of upper half is third quartile.
Q₃=31
Interquartile Range =Q₃-Q₁
=31-17
=14
Hence, The values of mean ,median, range and inter quartile range could be 23,23.5,22,14 respectively.
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A football team consists of 20 each freshmen and sophomores, 15 juniors, and 10 seniors. Four players are selected at random to serve as captains. Find the probability that
On solving the provided question, we can say that Probability ( At least one of the students is a senior) = 0.4632 approx
What is probability?Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.
P(All four players are senior) = 0.00033 approx
P(There is one each: freshman, sophomore, junior and senior) = 0.0944 approx.
P(There are 2 sophomores and 2 freshman) = 0.0568 approx
P( At least one of the students is a senior) = 0.4632 approx
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x - y if X is -11 and y is 26
Answer: -37
Step-by-step explanation: -11-26
A triangle has an angle that measures 126°. The other two angles are in a ratio of 11:16. What are the measures of those two angles?
Therefore, the measures of those two angles are 33° and 24°.
Define angles.An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which means "corner," is the source of the English term "angle."
Define geometry.Geometry is a branch of mathematics that studies the sizes, shapes, positions, angles, and dimensions of things.
We know, the sum of the angles in a triangle is always 180 degrees.
126 + x + y = 180
x + y = 54
Given that the two angles are in a ratio of 11:16, the proportion:
x/y = 11/16
Solving for x and y, we get:
x = 11y/16
We substitute this equation into the equation x + y = 54 and we get:
11y/16 + y = 54
Solving for y we get y = 24. Then we can use the proportion to find x:
x = 11 * 24 / 16 = 33.
So the two angles are 33° and 24°.
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