the 165 different committees are possible in combination.
What is combination?
If the order of the selections is unimportant, a combination is a mathematical choice made from a collection of various elements (unlike permutations). An apple and a pear are just one of three conceivable combinations if three fruits, such as an orange, an apple, and a pear, are provided. A k-combination of a set S is, technically speaking, a subset of the k distinctive elements of S. Alternatively said, two combinations are identical if and only if they have the same members. (How each set's members are ordered is not crucial.) the number of k-combinations given a set of n elements
That would be equal to the Combinations of 11 items taken 3 at a time.
C(n , k) = n!/[k!(n - k)!]
= 11!/[3!*(11 - 3)!]
= 11!/(3!*8!)
= 11*10*9/3*2
= 15*11
=165
Hence the 165 different committees are possible in combination.
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Where is the vertex in ABC?
The vertex in triangle ABC is at point A, B, and C.
Step by Step explanation :
Given triangle is represented by ΔABC
Triangle is representation of three line segment , three vertices , and three angles enclosed in it.Two rays meet at one point forms a vertex.When side AB and AC intersect each other at point A , point 'A' is known as vertex.When side BA and BC intersect each other at point B , point 'B' is known as vertex.When side CA and CB intersect each other at point C , point 'C' is known as vertex.Therefore, the vertex of the given triangle ABC is given by point A, B , and C.
The complete question is:
Where is the vertex in triangle ABC?
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there were 425 guests at a hotel. 170 guests ordered food. what percentage of the guests ordered food?
170/425=0.4
as a percent = 40%
What are the 3 examples of equation?
1. y = 2x + 3
2. y = x^2 + 5x - 3
3. y = -2x^2 + 7x – 4
are the 3 examples of equation with y intercept.
1. The first example is a linear equation, which has the form of y = mx + b, where m is the slope and b is the y-intercept.
2. The second example is a quadratic equation, with the form of y = ax^2 + bx + c, where a, b, and c are coefficients.
3. The third example is also a quadratic equation, with the form of y = ax^2 + bx + c, where a, b, and c are coefficients.
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The picturegram shows information about CDs sold in a shop.
1 . How manny CDs were sold on Wednesday | Key = 3 |
2. How manny more CDs were sold on Thursday than Wednesday?
**If you know the answer let me know!**
Answer:
i believe number 1 is 18 and number 2 is 9.
Step-by-step explanation:
if one full circle represents 6 CDs then on wednesday 18 Cds were sold because 6+6+6=18 and on thursday they sold 9 more Cds than on wednesday because they sold 6+6+6+6+3 which equals 9.
1. the best / most precise estimate of the mean value of y is located at the mean of the x values. true false -select- 2. if you were thinking about opening up several new pizza places near colleges with 20,000 students, would you feel 95% confident that mean sales for those stores would be $175,000? yes no -select-
The first statement is false and answer to second statement is no.
The mentioned information does not state that x and y are linearly related or not. If they are not related in linear way, the mean value of y would not be located at the mean of the x values.
Confidence intervals indicate the mean or population of the sample. For the confidence interval of sales of pizza stores, the similar data would be required for comparison using statistics tool. Hence, the relevant data should be sales of nearby pizza stores till now. Thus, the mentioned statement is irrelevant.
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write the coordinates of the vertices after a reflection over the line y= -2
k'(4, -7)
L'(9, -7)
M'(6, -5)
N'(5, -5) are the new coordinates of the vertices.
Coordinates of a point:
A point's coordinates are a pair of numbers that pinpoint where it is precisely on a two-dimensional plane.
Remember that the x and y axes are two axes that are at right angles to one another and make up the coordinate plane.
A particular point's coordinates show how far along each axis it is situated.
The coordinate's sign is crucial. A positive number indicates moving upward or to the right (x) (y).
Negative numbers indicate turning left (x) or falling (y).
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can you give me one more day?
Answer:
sure
Step-by-step explanation:
just ask
Answer:
Only if you get it done by 11:59 tomorrow
Step-by-step explanation:
If the 1st person save 1/4 of total , 2nd person saves 2/3 and 3rd person saves 1/10 , which fraction left to pay for the birthday party.
After solving the fractions, we can conclude that the fraction left for the pay birthday party is 17/3.
What are fractions?An element of a whole is a fraction.
The number is represented mathematically as a quotient, where the numerator and denominator are split.
Both are integers in a simple fraction.
A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
So, calculate as follows:
1 * 1/4 = 1/4 ...(1)
1/4 * 2/3 = 2/12 ...(2)
2/12 * 1/10 = 2/120 ...(3)
Fraction left to pay:
1 - (1/4 + 2/12 + 2/120)
1 - (30+20+2/120)
1 - (52/120)
1 - 13/30
30-13/30
17/30
Therefore, after solving the fractions, we can conclude that the fraction left for the pay birthday party is 17/3.
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a tar heel basketball player makes 80% of his free throw attempts. among 3 attempts he has, the probability that he at least misses one is equal to
The probability that he at least misses one is equal to 61/125.
What is probability?
The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a proposition to be true. A number between 0 and 1 is the probability of an event, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
Given in the question
basketball player makes 80% of his free throw attempts i.e.
P(Success) = 4/5 or 0.8
P(Miss the attempt) = 1 - 0.8 = 0.2 or 1/5
Number of sample (n) = 3
We need to calculate probability that he at least misses one i.e.
P(X > = 1) = 1 - P(X < 1) = 1 - P(X = 0)
Here we will use binomial probability distribution which can be calculated as
P(X = n |N, p)= NCn x (p^n) x (1-p)^(N-n)
P(X > = 1) = 1 - P(X < 1) = 1 - P(X = 0) = 1 - 3C0 x (1/5)^0 x (1 - 1/5)^(3-0)
= 1 - (1 x 1 x 64/125) = 1 - 64/125 = 61/125
Hence, the probability that he at least misses one is equal to 61/125.
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If it took 4.2 hours for marianne to drive 226.8 miles. what was her average speed for the trip?
Answer:
54 mi/hr
Step-by-step explanation:
[tex]\frac{226.8}{4.2}=54[/tex] mi/hr
a section of a circular design. the drawing shows the measurements in a section of a circular design. how long is the radius of the circle? f 8.7 cm g 10 cm h 7 cm j 4.3 cm
10 cm length is the circle's radius when the measurements are depicted in a segment of a circular design on the drawing.
Given that,
The measurements are depicted in a segment of a circular design on the drawing.
We have to find what length is the circle's radius.
We know that,
Let us take the up line as AB and the perpendicular line is OP.
So,
In ΔOPB
∠P=90°
PB=5cm
OP is perpendicular to AB.
Sin30° = PB/OB
1/2=5/OB
OB=5×2
OB=10
Therefore, 10 cm length is the circle's radius when the measurements are depicted in a segment of a circular design on the drawing.
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Norm has an income of $32,690.
He paid a total of 15% of his income in tax.
How much tax did Norm pay?
The amount of the money paid by the Norm as a tax will be $4903.5.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that Norm has an income of $32,690. He paid a total of 15% of his income in tax.
The amount of tax paid will be calculated as,
Amount = ( 32690 x 15 ) / 100
Amount = 32690 x 0.15
Amount = $4903.5
The Norm will pay $4903.5 in taxes.
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refer to scenario 5.2. colin decided to apply some of the things he had learned in his marketing research class to his business. the first thing he should do is to which will help him a. collect secondary data; contact the appropriate respondents. b. develop a questionnaire; collect the necessary data. c. conduct store exit interviews; give him an idea of the problem. d. define the problem to be researched; determine his data needs. e. identify a sample frame; contact the appropriate respondents.
The first thing he should do is to define the problem to be researched and determine his data needs.
what is scenario?scenario (plural scenarios) a description of the storyline of a play or book. The actual screenplay, as well as any related treatments or outlines. An example of an expected or alleged series of events, expressed as an outline or model.
Intentionally casual, unfinished, and incomplete narrative depictions of significant use circumstances occurring throughout time are called scenarios. A usage scenario describes how someone might use a present system or product. The utilization of a system or product that is currently being developed is described in a design scenario.
The first thing he should do is to define the problem to be researched and determine his data needs.
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68 miles+10 fewer miles+85 miles equal what?
The value of the expression will be;
⇒ 211 miles
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 68 miles + 10 fewer miles + 85 miles
Now,
Since, The expression is,
⇒ 68 miles + 10 fewer miles + 85 miles
Hence, We get;
⇒ 68 miles + 10 fewer miles + 85 miles
⇒ 68 + (68 - 10) + 85
⇒ 68 + 58 + 85
⇒ 211
Thus, The value of the expression = 211 miles
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Yousef typed a 36-word paragraph in 23 minute. what is his typing speed, in words per minute? enter your answer in the box.
Yousef will be type 54 words in a minute approximately.
How do we solve it?We can calculate Yousef typing in minute by use unitary method.In 23 minute Yousef can typed about 36 words, then we got, 36 words = [tex]\frac{2}{3}[/tex] minutes.Then we can calculate result of Yousef typed in a minute by, [tex]\frac{36 * 3}{2}[/tex] = 54 words.The unitary method is used to calculate the value of a single unit from the values of multiple units and then use this value to calculate the value of the required number of units.This unitary method method is mostly used in ratio and proportion concept. Unitary Method has two variations, direct variation and indirect variation.Learn more about unitary method at: brainly.com/question/23423168
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The rectangular prism below is not
complete. When it is complete, it will
be a total of 27 cubic units. What will
the length, width, and height of the
cube below be once it is completely
filled in?
L x W x H
L=3
W=3
H=3
3x3x3=27
I begggggg Pls help asappppppp !!!!!!!
Answer:
Translation, then reflection. E
Step-by-step explanation:
E is correct because 1 and 2 have a reflection meanwhile number 3 has a translation.
What is range in relation and function?
The group of all possible dependent values that a function or relation can produce from its domain values is known as its range. It consists of every potential output.
In the given question we have to explain what is range in relation and function.
The range refers to all the entities (output) that result from a relation or function. The Range set is made up of all used output values (dependent values).
The group of all possible dependent values that a function or relation can produce from its domain values is known as its range. It consists of every potential output.
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Shayla’s family room measures 20 ft by 17 ft. There is an area rug centered in the room, 3 ft away from each wall. Shayla wants to pay a company to steam clean just the area outside the rug. If they charge $10 per square foot, how much will Shayla have to pay?
Shayla will pay a sum of $1020 for cleaning the remaining area.
What is Area?
The quantity area indicates the extent of a region on a planar or curved surface. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas area of a plane region or plane area refers to the area of a form or planar lamina.
Solution:
Area of Rectangle = Length * Breadth
Area of the Room = 20*17 = 340 sq. ft.
Area of the Rug = 17*14 = 238 sq. ft.
Area Left = 340 - 238 = 102 sq. ft.
Total Charges will be $10*102 = $1020
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A rectangle has a height of 2x^42x 4 2, x, start superscript, 4, end superscript and a width of x^2+8x+15x 2 +8x+15x, squared, plus, 8, x, plus, 15. Express the area of the entire rectangle. Your answer should be a polynomial in standard form.
Area of rectangle is 2x⁶ + 16x⁵ + 30x⁴ when A rectangle has a height of 2x^42x 4 2, x, start superscript, 4, end superscript and a width of x^2+8x+15x 2 +8x+15x, squared, plus, 8, x, plus, 15.
Define area of rectangle.The area a rectangle occupies is the space it takes up inside the limitations of its four sides. The dimensions of a rectangle determine its area. In essence, the area of a rectangle is equal to the sum of its length and breadth. When calculating a rectangle's area, we multiply the length by the width of the rectangle. The region that an object's shape defines as its area. The area of a figure or any other two-dimensional geometric shape in a plane is how much space it occupies.
Given
Rectangle's height = 2x⁴
Rectangle's width = x² + 8x + 15
Area of rectangle
Height × Width
2x⁴ × x² + 8x + 15
2x⁶ + 16x⁵ + 30x⁴
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Moussa decides to estimate the volume of a coffee cup by modeling it as a right cylinder. He measures its height as 7.7 cm and its radius as 3.2 cm. Find the volume of the cup in cubic centimeters. Round your answer to the nearest tenth if necessary.
Answer:
247.7 cm³
Step-by-step explanation:
V = πr²h
V = 3.14159 × (3.2 cm)² × 7.7 cm
V = 247.70808 cm³
Answer: 247.7 cm³
5. Max wants to start his own lemonade stand. It cost him $3 to make each cup of lemonade plus he has
to pay a $35 renters fee for his stand. He sells the lemonade for $5 per cup.
a. Write a system of linear equations for his cost and his revenue.
The linear equations for cost price and selling price are c = 3x + 35 and y = 5x.
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
Let Max make x cups of lemonade cup.
According to given conditions,
Cost of 1 cup of lemonade = $3.
Also, Max pay for renters fee = $35.
The cost of x cups of lemonade = 3x
The total cost c = 3x + 35
Since, Max sells lemonade for $5 per cup.
Let the selling price is represented by y,
Then selling price y = 5x
Hence, linear equations for cost price and selling price are c = 3x + 35 and y = 5x.
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a new superman mastercard has been issued to 2000 customers. of these customers, 1500 hold a visa card, 500 hold an american express card and 40 hold a visa card and an american express card. find the probability that a customer chosen at random holds a visa card, given that the customer holds an american express card.
The probability that a customer chosen at random holds a Visa card, given that the customer holds an American Express card, is 40/500 = 0.08.
How does one determine probability?The number of possible outcomes is divided by the total number of possible outcomes to determine probability. Odds are not the same as probability. Odds are calculated by dividing the chance of a given event by the probability that it won't.
Why does probability matter?Information on possibility of occurrence is provided by probability. For instance, meteorologists can forecast the likelihood of rain by looking at weather patterns. Probability theory is utilized in epidemiology to comprehend how exposures and the risk of health impacts are related.
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What is the value of x x if x3=3.4
x3
=3.4 answer as a decimal in the
The value of x in the expression, x³ = 3.4 is x = 1.50369.
What is an expression?A mathematical expression is made up of a statement, at least two integers or variables, and one or more arithmetic operations.
Given:
x³ = 3.4
Calculate the value by taking the cube root of both sides as shown below,
x = ∛3.4
x = 1.50369
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Please help!
Determine which integer in the solution set will make the equation true.
6x − 8 = 2(2x + 3)
S: {−2, 0, 7, 9}
−2
0
7
9
The integer in the solution set will make the equation true is 7.
What is integer?The integer is a whole number which can be negative or positive or zero, they are written in fraction formate.
Given is an equation, 6x − 8 = 2(2x + 3)
Checking for x = -2, we get,
LHS = -2x6 - 8 = -12-8 = -20
RHS = 2(-2x3+3) = 2(-4+3) = 2x-1 = -2
LHS ≠ RHS
Checking for x = 0, we get,
LHS = 6x0-8 = -8
RHS = 2(2x0+3) = 2x3 = 6
LHS ≠ RHS
Checking for x = 7, we get,
LHS = 6x7-8 = 42-8 = 34
RHS = 2(2x7+3) = 2x17 = 34
LHS = RHS
Therefore, when x =7, both the expressions are equal.
Hence, the equation is true for the x =7
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help help help help help help help
Answer: 1. 2, 4, 8, 16, 32, 64, and 128,...... I don't know if I should keep going.
2. 5, 11, 17, 23, 29, 35, 41, and 47
Answer: 2.
Step-by-step explanation:
11+3=14
14+3=17
17+3=20
20+3=23
2. 5,11,17,23
What expression shows the relationship between the value of any term and, its position in the sequence for the given sequence?
3, 5, 7, 9, 11, ...
A.2n
B.2n-2
C.2n+1
D.-3n-2
E.-n+3
The position in the sequence for the given sequence will be 2n + 1. Then the correct option is C.
What is an arithmetic sequence?Let a₁ be the first term and d be a common difference.
Then the nth term of the arithmetic sequence is given as,
aₙ = a₁ + (n - 1)d
The sequence is given below.
3, 5, 7, 9, 11, ...
The first term is 3. And the common difference is given as,
d = 5 - 3
d = 2
Then the position in the sequence for the given sequence will be given as,
aₙ = 3 + (n - 1) · 2
aₙ = 3 + 2n - 2
aₙ = 1 + 2n
The position in the sequence for the given sequence will be 2n + 1. Then the correct option is C.
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Help please, it’s for an assignment
{30,40,50} data set has the greatest sample standard deviation.
What is Statistics?Statistics is the science concerned with developing and studying methods for collecting, analyzing, interpreting and presenting empirical data.
The formula for Standard deviation is
σ=√∑(x-µ)²/n
µ is the mean.
For data set: {102,105, 108}
Mean=105
S.D=√∑(102-105)²+(105-105)²+(108-105)²/3
=√9+9/3=√18/3=√9×2/3=3√2/3=√2
For data set: {55,60,65}
Mean=60
S.D=√∑(55-60)²+(60-60)²+(65-60)²/3
=√25+25/3=5√2/3
For data set: {120,121,122}
Mean=121
S.D=√(120-121)²+(121-121)²+(122-121)²/3
=√1+1/3=√2/3
For data set: {30,40,50}
Mean=40
S.D=√(30-40)²+(40-40)²+(50-40)²/3
=√200/3
=10√2/3
Hence, {30,40,50} data set has the greatest sample standard deviation.
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Caysen and Kyle are selling T-shirts and sweatshirts with the school logo. Caysen sells 6 T-shirts and 4 sweatshirts for $212. Kyle sells 3 T-shirts and 5 sweatshirts for $202. Part A Write a system of equations to represent the situation. Using x for the price of t-shirts and y for the price of sweatshirts. Caysen: 6x+4y=212 Kyle: 3x+5y=202 Part B Solve the system of equations using elimination or substitution. Show your work. x = y = Part C What does the solution of the system mean in this situation?
Part A: The system of equations is
6x + 4y= 212
3x + 5y= 202
Part B: The solution of the system of equation is x= 14 and y= 32
Parte C: The solution means that the price of t-shirts and the price of swatshirts are $14 and $32 respectively.
System of linear equationsA system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.
A solution to a system of two or more linear equations is a solution that simultaneously satisfies all the equations in the system.
This caseIn this case, a system of linear equations must be proposed taking into account that:
x is the price of t-shirts.y is the price of sweatshirts.You know:
Caysen sells 6 T-shirts and 4 sweatshirts for $212. Kyle sells 3 T-shirts and 5 sweatshirts for $202.The system of equations to be solved is
6x + 4y= 212
3x + 5y= 202
There are several methods to solve a system of equations, it is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.
In this case, isolating the variable "y" from the first equation:
4y= 212 - 6x
y= (212 - 6x)÷ 4
y= 212÷4 - 6÷4x
y= 53 - 3/2x
Substituting this expression in the second equation:
3x + 5×(53 - 3/2x)= 202
Solving:
3x + 5×53 - 5×3/2x= 202
3x + 265- 15/2x= 202
3x - 15/2x= 202 - 265
-9/2x=-63
x= (-63)÷ (-9/2)
x= 14
Remembering that y= 53 - 3/2x, you get:
y= 53 - 3/2×14
y= 32
The solution of the system of equation is x= 14 and y= 32. This means that the price of t-shirts is $14 and the price of swatshirts is $ 32.
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Extrapolation is the use of the regression line to estimate a mean of y-values for an x-value that is far outside the x-range of data.
a. True
b. False
Extrapolation is the use of the regression line to estimate a mean of y-values for an x-value that is far outside the x-range of data is a true statement.
Extrapolation is a mathematical technique which involves predicting the value outside the defined range of the given variable using the relationship between the two given variables. With some categorical data, it is a crucial idea not only in mathematics but in other academic fields as well, such as psychology, sociology, and statistics. Extrapolation represents the estimation of a value based on extending the known factors or components outside of the area that is known. To put it another way, extrapolation is a mathematical technique where all the data values are treated as points, such x₁, x₂,....., xₙ. If statistical data is written as periodically sampled and approximates the next data point, it frequently exists in that data.Therefore, it is true that extrapolation is the use of the regression line to estimate a mean of y-values for an x-value that outside the x-range.
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