(a) In this case, the men and women alternate, so we can treat them as two separate groups. There are n! ways to seat the n men in the first n seats and n! ways to seat the n women in the next n seats.
So, there are a total of (n!) ^2 ways to seat the n married couples.
(b) In this case, every woman must be next to her husband. We can treat each married couple as a single entity and seat them in (n!) ways.
So, there are n! ways to seat the n married couples around the table in this case.
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which of the following is true about graphical data? question 9 options: a) all graphs should start at the origin. b) an equation of the best-fit line of data can be used to estimate untested values. c) graphical correlations always have a positive relationship. d) the x-values of a graph can be estimated based on the y-values. e) all data on a graph should be linear.
The correct answer is B) an equation of the best-fit line of data can be used to estimate untested values.
The equation of the best-fit line of data can be calculated by determining the slope (m) and the y-intercept (b) of the line. It is calculated by using the linear regression equation: y = mx + b, where m is the slope and b is the y-intercept. The slope is determined by the equation: m = (Σxy)/(Σx2). The y-intercept is determined by the equation: b = (Σy - mΣx)/n. Once these values are determined, it is possible to estimate untested values with the equation of the best-fit line. For example, if we have a graph with data points (2, 3) and (4, 7), the equation of the best-fit line would be y = 2x + 1. This equation can be used to estimate the value of y when x = 6; in this case, y = 11.
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WILL GIVE BRAINLIST!! please show all work
What is the arc length of an arc with a central angle of 11r/6 radians in a circle with a radius of 18cm? Round to the nearest whole number
[tex]\textit{arc's length}\\\\ s = r\theta ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ \theta =\frac{11\pi }{6}\\[1em] r=18 \end{cases}\implies s=18\cdot \cfrac{11\pi }{6}\implies s=33\pi \implies s\approx 104~cm[/tex]
Five line segments are drawn in a triangle as shown. How many triangles are there?
Number of triangles are 24.
What is a triangle?A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.
What is the area of the triangle?
The area of the triangle is defined as the product of half the base and the height of the triangle.
The area of the triangle = 1/2 x b x h
Given;
Five line segments are drawn in a triangle as shown
Now, to find the total number of triangles we will number each of the enclosed section in the triangle horizontally.
Line segment 1= 1 2 3
Line segment 2= 1 2 3
Line segment 3= 1 2 3
Line segment 4= 1 2 3
by addition
=6+6+6+6
=24
Therefore, the total triangles in figure will be 24.
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what is the probability that someone is from the u.s? what is the probability that someone has at least 2 children? what is the probability that someone is from the u.s and has one child?
The required probability for the given table are as follow :
a. Probability of someone from US = 0.5089
b. Probability of someone has at least 2 children = 0.4196
c. Probability of someone from US and has one child = 0.125.
Total number of children is equal to 112
Probability = Favourable outcome / ( total number of outcome )
a. Number of children representing someone from US = 57
Probability of someone from US = 57 / 112
= 0.5089
b. Favourable outcome representing someone has at least 2 children is
= P (2) + P(3)
= ( 18 + 11 )/ 112 + (8 + 10 )/ 112
= (29 + 18) / 112
= 47/112
= 0.4196
c. From US and has one child :
Favourable outcome = 14
Probability of someone from US and has one child
= 14 / 112
= 0.125
Therefore, the probability of the different conditions are :
a. Probability from US = 0.5089
b. Probability of at least 2 children = 0.4196
c. Probability from US and one child = 0.125
The above question is incomplete, the complete question is:
For the table given below answer the following question:
Children : 0 1 2 3 or more Total
From US : 17 14 18 8 57
Outside US : 15 19 11 10 55
Total : 32 33 28 18 112
a. What is the probability that someone is from the US?
b. what is the probability that someone has at least 2 children?
c. what is the probability that someone is from the US and has one child?
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y'all please help me I've been stuck on this question for the past hour and I still have a whole nother test to do
Factor completely 25x² - 49
Answer:
(5x-7)(5x+7)
Step-by-step explanation:
[tex]25x^2-49\\=(5x)^2-(7)^2\\=(5x-7)(5x+7)[/tex]
Remember that the difference of squares formula is [tex]a^2-b^2=(a-b)(a+b)[/tex].
Answer:
(5x-7) x (5x+7)
Step-by-step explanation:
25x^2- 49
5^2 x 2^2 - 49
5^2 x 2^2 -7^2
(5x)^2 -7^2
(5x-7) x (5x+7)
Please help me really fast need to answer fast
A new streaming service sent out a survey to 250 households to see who would be interested in its service. The company found that it could charge $45 per month, with a margin of error of ±1.5. If 1,000 people signed up for the service, what is the least amount of monthly revenue the company should expect?
A. $43,500
B. $45,250
C. $46,500
D. $47,000
The least amount that the company would have to accept as their monthly revenue is A. $43,500.
How to solve for the monthly revenueFrom the amount that the streaming service is able to charge and the margin of error, we would calculate this as:
The monthly charge - margin of error
= 45 - 1.5
= 43.5 dollars
From here we have to multiply the amount by the people that signed for the service
43.5 * 1000
= A. $43,500
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I need to turn a quadratic equation into standard form, but it looks weird. The equation is y = 11 (3x^2 + 5). I'm trying to turn it into y = ax + bx + c format. I understand that concept in general, but how do I deal with the squared 3 in the place of b? Help me.
Answer:
y = 33X^2 + 55
Step-by-step explanation:
by expanding the equation you provided, we will get the answer
be reminded, the general form of a quadratic equation us,
y =ax^2+bx+c
-19 + ? = -48 Determine the unknown addend
Answer:
? = -29
Step-by-step explanation:
-19 + x = -48
x= -48 + 19
x = -29
Answer:
? = -29
Step-by-step explanation:
To figure out the unknown value, start by adding -19 to both sides to leave the unknown by itself.
? = -48 + 19
Negative numbers count down, so -48 + 19 = -29
I hope this helped!! :)
the probability of rolling a 6 on a biased dice is 1/5
The probability of rolling two sixes is 1/25.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes
Given, the probability of rolling a 6 on a biased dice is 1/5.
Since the probability of rolling a six on the first roll is 1/5, then probability of not rolling a six on first roll is;
P(not 6) = 1 - 1/5
P(not 6) = 4/5
A) Please find attached the completed tree diagram
B) First Roll:
P(6) = 1/5
P(not 6) = 4/5
Second Roll:
Now,
P(6 | 6) = 1/5 × 1/5
= 1/25
P(6 | not 6) = 1/5 × 4/5
= 4/25
So, P(not 6 | 6) = 4/5 × 1/5
= 4/25
P(not 6 | not 6) = 4/5 × 4/5
= 16/25
Therefore, the probability of rolling two sixes is 1/25.
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"Your question is incomplete, probably the complete question/missing part is:"
The probability of rolling a 6 on a biased dice is 1/5
1) complete the tree diagram.
2) Work out the probability of rolling two sixes.
What does the transformation f(x)↦f(x)–5 do to the graph of f(x)
Answer:
The transformation f(x)↦f(-x) , the graph of f(x) reflects it across the y-axis
Step-by-step explanation:
what is the correct answers
a) The inequality that models this situation is given as follows: 24x ≤ 250.
b) The solution to the inequality is given as follows: x ≤ 10.41.
c) The number of baseballs that can be purchased is of at most 10.
What is a proportional relationship?A direct proportional relationship is defined as follows:
y = kx.
In which k is the constant of proportionality.
As the cost of each baseball is of $24, the constant is given as follows:
k = 24.
The equation giving the total cost of purchasing x baseballs is given as follows:
y = 24x.
The budget to spend is of $250, hence the inequality is given as follows:
24x ≤ 250.
The solution is given as follows:
x ≤ 250/24
x ≤ 10.41.
As the number of baseballs is a countable amount, at most 10 baseballs can be purchased, rounding down the amount.
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unos amigos hicieron dos pizzas y se las repartieron en partes iguales y sin que sobre nada a cada uno le toco 2/7 de pizza, entre cuantos amigos se repartieron las pizzas?
El número de amigos que reciben 2/7 de la pizza es de 7 personas.
Por cierto dividimos 2 pizzas con 2/7 = 2 : 2/7 = 7 personas
Definición de comparaciónLas comparaciones en matemáticas también pueden denominarse proporciones.
Entonces, ¿qué es una comparación o razón?
La comparación (razón) es una técnica o forma de comparar dos cantidades.
Escribir proporciones o comparaciones se puede escribir como a : b o a/b donde a y b son dos cantidades que tienen las mismas unidades.
A continuación se explicarán ejemplos de aplicación de comparaciones en la vida cotidiana.
Comparaciones en la vida cotidiana
Hay muchas aplicaciones de la comparación en la vida cotidiana. Escribir la escala en un mapa es una aplicación de la comparación.
Luego, cuando vamos a hacer pan suele haber una mezcla de masa de harina de trigo y harina de tapioca.
Por ejemplo, la proporción es de 2:1, lo que significa que para hacer el pan necesitas 2 partes de harina de trigo y 1 parte de harina de tapioca.
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Find the volume of the sphere shown below give the answer in terms of pi show or explain your work
Volume of sphere is 288π mm³.
What is volume?Volume is defined as a capacity occupied by a three-dimensional solid shape. In any shape, it is hard to visualize but can be compared between shapes.
Given,
Radius of sphere r = 6 mm
Volume of sphere
= (4/3)πr³
= (4/3)π×6³
= (4/3)π×6×6×6
= 4π×2×6×6
= 288π mm³
Hence, 288π mm³ is volume of sphere.
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the following is a geometric sequence, find the missing number? 14, ???, 7406, 170338
Answer:
your pattern is multiply by 23 and your missing number is 322
in correlational and experimental study designs, a key requirement for a sample is that: group of answer choices
In correlational and experimental study designs, a key requirement for a sample is that population whom the researchers are investigation
A sample is a portion of a larger population that is selected to represent the entire group. In both correlational and experimental study designs, a key requirement for a sample is that it should be representative of the population it is meant to represent.
In a correlational study design, the goal is to examine the relationship between two or more variables. The sample must be representative of the population to ensure that the correlation calculated from the sample is representative of the correlation that exists in the population.
If the sample is not representative, the correlation calculated from the sample may be different from the correlation that exists in the population, leading to incorrect conclusions.
In an experimental study design, the goal is to test a causal relationship between two or more variables.
The sample must be representative of the population to ensure that the results of the experiment are generalizable to the population.
If the sample is not representative, the results of the experiment may not be generalizable to the population, leading to incorrect conclusions.
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The mean of p and g is 13; the mean of g and r is 16; the mean of r and p is 7.
What is the mean of p, g and r?
(10 points)
The mean of p , g and r is given by the equation M = 12
What is Mean?The mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.
Mean = Sum of Values / Number of Values
Given data ,
Let the mean of p , g and r be represented as M
Now , the mean of p and g = 13
So , ( p + g ) / 2 = 13
On simplifying the equation , we get
p + g = 26 be equation (1)
And , the mean of g and r = 16
So , ( g + r ) / 2 = 16
On simplifying the equation , we get
g + r = 32 be equation (2)
And , the mean of r and p = 7
So , ( r + p ) / 2 = 7
On simplifying the equation , we get
r + p = 14 be equation (3)
Adding equation (1) , (2) and (3) , we get
2 ( p + g + r ) = 26 + 32 + 14
And , divide both sides of the equation by 2 , we get
p + g + r = 72/2 = 36
Now , the mean of p , g and r is
M = ( p + g + r ) / 3
On simplifying the equation , we get
M = 36/3
M = 12
Hence , the mean is M = 12
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a high school has 44 44 players on the football team. the summary of the players' weights is given in the box plot. approximately, what is the percentage of players weighing less than or equal to 233 233 pounds?
The percentage of players weighing less than or equal to 233 pounds is 88.04%.
Percentage
A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.
See attachment for box plot,
From the box plot, the maximum is ,
Max = 244
the maximum is.
Min = 152
Percentage less than 233 is calculated as:
percentage = (233 - min)/ max - min
percentage = (233 - 152)/ 244 - 152
percentage = 81/92
express as percentage,
= 81/92 *100
= 8100/92
= 88.04%
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Answer: 75%
Step-by-step explanation: got it right
The vertices of AFGH are F(-2,4), G (4,4), and H (1,-2). What are the coordinates of the orthocenter of
AFGH? If necessary, round your answer to the nearest tenth.
The coordinates of the orthocenter of AFGH are approximately (1.9, 2.2).
How did we arrive at these values?The orthocenter of triangle AFGH can be found by the intersection of the altitudes from vertices A, B, and C. The equations of the altitudes from vertices F and H can be found by finding the slopes of the lines and plugging in the x and y coordinates of the vertices.
The equation of the altitude from vertex G can then be found by finding the slope perpendicular to the first two lines and plugging in the x and y coordinates of vertex G. The point of intersection of these three lines is the orthocenter of triangle AFGH.
The coordinates of the orthocenter of AFGH are approximately (1.9, 2.2).
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HELP PLEASE ASAP!!!!!!!!
The experimental probability that Dave works will be in a wedding in next week is 7 / 22.
What is experimental probability?Actual experiments and sufficient documentation of the occurrence of occurrences serve as the foundation for experimental probability, sometimes referred to as empirical probability. A number of real experiments are carried out in order to ascertain the likelihood of any event. Random experiments are studies that don't have a predetermined outcome. The results of such experiments are unpredictable. The likelihood of random experiments is calculated repeatedly. A trial is a repeating of an experiment that is performed a certain number of times.
The probability that Dave will work in a wedding is given as:
P = Working in wedding / Sum of total work
P = 14 / 44
P = 7 / 22
Hence, the experimental probability that Dave works will be in a wedding in next week is 7 / 22.
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a right triangle has side lengths of 12 feet and 5 feet. what is the length, in feet, of the hypotenuse?
6 cm
6 cm
6 cm
20 cm
The area of one of the bases of the figure shown above is about 15.6 cm².
What is the surface area, in cm², of the figure? Round your answer to the
nearest tenth.
139.2 cm² is the surface area, in cm², of the figure.
What is surface area ?The surface area of a three dimensional shape is the total area of all of the faces. The surface area of a solid object is a measure of the total area that the surface of the object occupies.
here, we have,
The surface area of given figure = 3×Area of rectangle + 2×area of triangle base.
so, we get,
Surface area = 3×6×6+2×15.6
Surface area = 139.2 cm²
Hence, 139.2 cm² is the surface area, in cm², of the figure.
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105.3 is what percent of 64?
Answer:
164.53125%
Step-by-step explanation:
105.3 is 164.53100% of 64
Answer:
164.53125%
Step-by-step explanation:
105.3 is what percent of 64?
we solve with a proportion
105.3 : 64 = x : 100
x = 105.3 × 100 ÷ 64
x = 164.53125%
6 cm
6 cm
6 cm
20 cm
The area of one of the bases of the figure shown above is about 15.6 cm².
What is the surface area, in cm2, of the figure? Round your answer to the
nearest tenth.
The surface area of the figure for the given condition is 391.2 cm²
What is a Triangular Prism?The pentahedron Triangular Prism contains nine different nets. The bases' vertices and edges are connected by means of their three rectangular sides. The rectangular sides of the triangular prism are joined to one another side by side.
Given the triangular prism,
which consist of two triangles and 3 rectangles,
the surface area of the figure is the sum of the area of triangles and 3 rectangles,
given sides of triangle is 6cm x 6cm x 6cm
area of equilateral triangle = √3/4(a²)
area of equilateral triangle = 6²*(√3/4)
area of equilateral triangle = 15.6 cm²
and dimensions of the rectangle is 6cm x 20 cm
area of rectangle = l x b
area of rectangle = 6*20
area of rectangle = 120 cm²
area of shape = 2(area of triangle) + 3(area of rectangle)
area of shape = 2*15.6 + 3*120
area of shape = 31.2 + 360
area of shape = 391.2 cm²
Hence the area is 391.2 cm².
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A triangular pathway in a park is shown below. what is the approximate total length of the path ( the perimeter of the triangle)? Round answer to the nearest hundreth
The perimeter of the triangle is given by the equation P = 42.588 m
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the perimeter of the triangle be represented as P
Let the right triangle be represented as ABC
Now , the hypotenuse of the triangle is AC = 18m
And , the measure of ∠ACB = 30°
From the trigonometric relations ,
Let the angle be θ , such that
sin θ = opposite / hypotenuse
Substituting the values in the equation , we get
sin 30° = AB / 18
On simplifying the equation , we get
Multiply by 18 on both sides of the equation , we get
sin 30° = 1/2
AB = 18/2
The opposite side of the triangle AB = 9 m
Now , the base of the triangle BC is calculated from Pythagoras theorem
hypotenuse² = base² + height²
So , base BC² = ( 18 )² - ( 9 )²
The base of the triangle BC = √ ( 324 - 81 )
The base of the triangle BC = 15.588 m
Now , the perimeter of the triangle P = opposite side of the triangle AB + base of the triangle BC + hypotenuse of the triangle AC
The perimeter of the triangle P = 18 + 9 + 15.588
The perimeter of the triangle P = 42.588 m
Hence , the perimeter of the triangle is 42.588 m
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what percent of a group do i have to randomly sample in order to get a rough estimate for the entire group
Evaluate: Question 1: 3p +5(2q+p)+3p-6q
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{3p + 5(2q + p) + 3p - 6q}\\\mathsf{= 3p + 5(2q) + 5(p) + 3p - 6q}}\\\mathsf{= 3p + 10q + 5p + 3p - 6q}\\\large\textbf{COMBINE the LIKE TERMS}\\\mathsf{= (3p + 5p + 3p) + (10q - 6q)}\\\mathsf{= 3p + 5p + 3p \bold{+} 10q - 6q}\\\mathsf{= 8p + 3p + 4q}\\\mathsf{= 11p + 4q}\\\\\\\huge\text{Therefore, your answer should be:}\\\huge\boxed{\mathsf{11p + 4q}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
Draw a diagram and explain how you can use it to find 3 ÷ 1/5
Answer:
15
--- = 15
1
Step-by-step explanation:
keep change flep
After you multiply everything out in the box, then write your final answer below after you combine your like terms! (2x-3)(6x-5)
The solution to the algebraic expression (2x-3)(6x-5) after you combine your like terms is 12x² - 28x + 15
How to multiply algebraic expression?(2x-3)(6x-5)
open parenthesis
12x² - 10x - 18x + 15
collect like terms
12x² - 28x + 15
Hence, 12x² - 28x + 15 is the solution to the algebraic expression (2x-3)(6x-5)
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