Yes, there always exists a perfect match with no weak instability.
For part (a), an example of a set of men and women with preference lists for which every perfect matching has a strong instability would be if all members of one gender ranked all members of the opposite gender equally.
This would mean that no matter which pairing was chosen, one member of the pairing would prefer to be with another member.
As for part (b), an example of a set of men and women with preference lists for which every perfect matching has a weak instability would be if some members of one gender ranked all members of the opposite gender equally, while others had a strict preference.
In this case, the members with strict preferences would always have an alternative that was preferred by one or both members of the pairing, leading to weak instability.
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Meg picked 7 berries. John picked 9 berries. Write a doubles - plus - 2 fact to show how many berries they have all?
Answer:16
Step-by-step explanation:
 A student solved the following equation using the following stepsi
4(2 - 3x) = x - 2(2x + 1)
8 - 3x = x - 4x - 2
8 - 3x = -3x - 2
y = 0
Based on the student's work, the equation was solved
The equation solved correctly would show that it has
solution(s).
Word Bank:
correctly
three
infinite
incorrectly
00
TWO
one
Blank 1:
Blank 2:
Based on the student's work, the equation was solved incorrectly. B. The equation solved correctly would show that it has one solution(s).
What is an equation?A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("="). For instance, 2x - 5 = 13. Two expressions are combined in an equation using an equal symbol ("="). The "left-hand side" and "right-hand side" of the equation are the two expressions on either side of the equals sign.
In correct solution of the equation is given as:
4(2 - 3x) = x - 2(2x + 1)
8 - 12x = x - 4x - 2
8 - 12x = -3x - 2
8 + 2 = 12x - 3x
10 = 9x
x = 10/9
Hence, based on the student's work, the equation was solved incorrectly.
The equation solved correctly would show that it has one solution(s).
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A coin bank contains $12.45 in quarters and dimes. If there are 16 more dimes than quarters, how many are there of each?
need assistance on This question I’ll give you brainliest
Answer:
16 % points
Step-by-step explanation:
From the table 1963-1972 is 58 %
2003 - 2013 is 42%
58 - 42 = 16 percentage points
Point
R
R is located at
(
4
,
2
)
(4,2) on the coordinate plane. Point
R
R is reflected over the
x
x-axis to create point
R
′
R
′
. Point
R
′
R
′
is then reflected over the
y
y-axis to create point
R
′
′
R
′′
. What ordered pair describes the location of
R
′
′
?
R
′′
?
The ordered pair that describes the location of R′′ is (-4,-2)
Explanation:
When a point is reflected over the x-axis, the x-coordinate remains the same and the y-coordinate changes sign. So, the point R' will be (4,-2)
When a point is reflected over the y-axis, the x-coordinate changes sign and the y-coordinate remains the same. So, the point R′′ will be (-4,-2)
13 x - 21 y = 7 what is the y intercept
Answer:
To find the y-intercept, set x = 0 and solve for y:
13 * 0 - 21 * y = 7
-21 * y = 7
y = -7/21
y = -1/3
So the y-intercept is at (0, -1/3).
Answer: -1/3
Step-by-step explanation:
13x-21y=7
y=13x/21-1/3
y=-1/3
tan A-1/ tan A +1 =2 sin A-1 1+2 sin Axcos A
This formula is used to get the values of the sine and cosine products for angle A and to solve different trigonometry issues.
What does SinA CosA formula mean?SinA cosA = sin2A / 2 is the formula for sinA and cosA. This formula is used to get the values of the sine and cosine products for angle A and to solve different trigonometry issues.
Let LHS =
[tex]\frac{tan A}{1+ tan^{2} A} + \frac{cot A}{1+ cot^{2} A}[/tex]
= [tex]\frac{tan A}{(sec^{2}A) ^{2} } +\frac{cot A}{(cosec^{2}A) ^{2} }[/tex]
= [tex]\frac{\frac{sin A}{cos A} }{\frac{1}{cos^{4}A } } + \frac{\frac{cos A}{sin A} }{\frac{1}{sin^{4}A } }[/tex]
= [tex]sin A cos^{3} A + cos A sin^{3}A[/tex]
= [tex]sin A cos A (sin^{2}A + cos^{2}A)[/tex]
= [tex]sin A cos A[/tex] = R.H.S
Hence proved as L.H.S= R.H.S
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The complete question is:
Prove that (tan A)/((1 + tan2 A) 2) + (cot A)/((1 + cot2 A) 2) for cotA = sinA cosA.
he diameter of the hubcap of a tire is 22 centimeters. Find the area, in square centimeters, of this hub cap. Write your answer in terms of π. pleaseee help
The area of hubcap in shape of circle is 121π cm^2.
What is a circle?
A circle is a special kind of ellipse in which the eccentricity is zero and the two foci are coincident. A circle is also termed as the locus of the points drawn at an equidistant from the center. The distance from the center of the circle to the outer line is its radius. Diameter is the line which divides the circle into two equal parts and is also equal to twice of the radius.
The equation of circle in the plane is given as:
(x-h)^2 + (y-k)^2 = r^2
where (x, y) are the coordinate points
(h, k) is the coordinate of the center of a circle
and r is the radius of a circle.
and Area of circle = πr²
Circumference of circle=2πr
Now,
As shape of hubcap is circular.
Area of circle = πr^2
where r=D/2 D=diameter
Given diameter of hubcap is 22cm. --> r=11 cm.
Therefore,
Area=π*11^2=121π cm^2
Hence,
The area of hubcap in shape of circle is 121π cm^2.
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A certain company has 900 employees. Two out of every five employees have worked for the company for 10 years or more. How many employees have worked for the company for 10 years or more?
Answer:
If a certain company has 900 employees and two out of every five employees have worked for the company for 10 years or more, then that company would have 360 employees who have worked for the company for 10 years or more.
The amount of time in seconds, t, it takes for a bungee jumper to free fall is given by the function t equals the square root of the quantity d over 16 end quantity comma where d represents the distance that the object falls, in feet. If a bungee jumper free falls for 6 seconds, how far does the jumper fall?
the height of fall of the bungee jumper is 9216 feet.
What is Distance?
a velocity is a unit of measurement for the Distance an object travels in a predetermined period of time. Here is a word equation that illustrates the connection between space, speed, and time: velocity is calculated by dividing the total Distance traveled by the journey time.
Diane and Douglas both drive at an average rate of 50 miles per hour. So if they travel for the same time they will end up covering the same Distance as well.
As we know velocity = rate of change of displacement
The distance the bungee jumper falls is estimated as follows when the time of motion is 6 seconds;
6 = [tex]\frac{\sqrt{d} }{16}[/tex]
√d = 16*6
√d = 96
d = 9216
Hence the height of fall of the bungee jumper is 9216feet.
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W, R, and S are points on a number line, and W
coordinates given, find the coordinate of the th
1. R = 4, S = -6
2
W =
10
A addition to a large number line is indeed a diagram of a graduated single direction used to represent real numbers in introductory mathematics.
What does a math number line mean?2 November 2020 A horizontal line with evenly spaced numerical increments is referred to as a number line. How the number just on line could be answered depends on the numbers present. The use of the number is determined by the question that it corresponds to, such as when a point.graphing
The midpoint is indeed the "average" of a two numbers, so for the first: (4 + (-6))/2 = -2/2 = -1 for such second,
you are provided the "average," so choose one of the ends as x, multiplying by 2 to get 2+x = -8 and x = -10.
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the following stem-and-leaf plot shows scores on a statistics midterm exam. the instructor decided to give an f to the 10th percentile or below. what is the highest score with an f grade?
The highest score with an "F" grade is the 10th percentile score. To find the 10th percentile score, count 10% of the total number of scores, which is 100. So, the 10th percentile score is the 10th score from the bottom, which is 43.
What is a percentile score?A percentile score is a value on a scale that indicates the percentage of a set of observations that are below it. For example, a score of 80% on a test means that 80% of the test-takers scored below that score and 20% scored above it. In other words, the score separates the bottom 80% from the top 20%.
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The complete question is as follows:
Turtle is four years younger than Panda. Twenty years ago, Panda’s age was 13 years more than half Turtle’s age. How old are they now?
Biologists conducted experiments to determine whether a deficiency of carbon dioxide in the soil affects the phenotypes of peas . Listed below are the phenotype codes where t = smooth - yollow; 2 = smootb - oreon; 3=* wrinkled yellow, and 4 = wrinklednreen. do the results make sense ? A. It makes sense that the measures of variation cannot be calculated because there is not a large enough sample size to calculate the measures of variation B. While the measures of variation can be foundthey do not make sense because the data are nominal, they don't measure or count anything C. The measures of variation do not make sense because the standard deviation cannot be greater than the variance D. The measures of variation make sense because the data is numeric, so the spread between the values is meaningful
The correct answer is B. While the measures of variation can be found they do not make sense because the data are nominal, they don't measure or count anything.
What is variation?Any difference between the individuals in a species or between groups of organisms from any species is referred to as variation. Genetic variety is mostly caused through mutation, although other processes like sexual reproduction and gene flow also play a role.
Environmental variation refers to environmental elements that can contribute to variances. Inherited variation refers to the variance that is genetically transmitted during reproduction from parents to children.
The variable of interest is a nominal variable, which means it merely belongs to categories and doesn't actually have any "numerical" values. Only the categories' names—1, 2, 3, and 4—have been utilized.
Only "sample proportions" can be determined for nominal variables, and the variance between sample proportions of various samples may be calculated and compared, but measurements of variation within a single sample (as is the case here) are useless for nominal variables.
Therefore, Option B is the correct answer.
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Fill in the blanks below with the correct units.
(a) Lashonda's finger is about 6 ?
(b) The bucket holds about 6 ?
✓ long.
✓ of water.
(c) Leila used a fork that had a mass of about 32 ?
Answer:
A) 6centimeters (cm) LONG
B) 6 gallons/Liters of water
C) 32 milligrams
Step-by-step explanation: contact me through discord Acathia#0103, its easier to help, I can help with multiple questions aswell or send me ur SC
Two cyclists 30 miles apart start riding toward each other at the same time. One of the cyclists bikes 2 times faster than the other. If they meet 2 hours later what is the speed (in miles per hour) what is the speed of the faster cyclist?
Write an equation using the information as it is given above to solve the equation.
Use the variable r to represent the slower bicyclist.
What is the speed of the faster bicyclist?
The speed of the faster cyclist is 3 miles per hour.
We can use the information given to set up the following equation:
r + (2r) = (r + 2r) / 2t
Where r is the speed of the slower cyclist, (2*r) is the speed of the faster cyclist, t is the time in hours, and the distance between the two cyclists is (r + 2r) miles.
We can use the given information that the two cyclists meet 2 hours later to solve for r:
r + (2r) = 30 / 22
Simplifying the equation we get:
r + (2*r) = 15
3r = 15
r = 5
We know that the faster cyclist is going 2 times faster than the slower cyclist, so we can use the value of r to find the speed of the faster cyclist:
2r = 25 = 10
So, the speed of the faster cyclist is 10 miles per hour.
For use in a linear regression model, categorize which of the following variables should be represented as dummy variables and which can be represented as quantitative variables.
Dummy variables:
Ice Clean Flavor, Gender, Shoe Color, Number on an Athlete's Jersey, Ice Cream Flavor
Quantitative Variables:
Time to run a marathon, Flat-Screen TV, Height, Hours Spent Researching Core, Calories in Desserts
A dummy variable, often known as an indicator variable or simply a dummy, is a variable in regression analysis that accepts the values 0 or 1 to signify the lack or presence of a category effect that would be anticipated to change the outcome.
Any variable where the data indicate amounts is referred to be a quantitative variable (e.g. height, weight, or age). Any variable where the data represent groupings is referred to as a categorical variable. This comprises categories (like where people placed in a race), rankings (like cereal brands), and binary results (e.g. coin flips).
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The complete question is:
For use in a linear regression model, categorize which of the following variables should be represented as dummy variables and which can be represented as quantitative variables.
ITEMS
TIME TO RUN A MARATHONSHOE COLORHEIGHTNUMBER ON AN ATHLETE'S JERSEYGENDERSIZE OF FLAT-SCREEN TELEVISIONHOURS SPENT STUDYING COREICE CREAM FLAVORCALORIES IN DESSERTSCATEGORY
Dummy VariablesQuantitative VariablesUsing the region names in the image below, select all regions that represent:
A' ∩ B ∩ C
3 group Venn Diagram with Roman numeral labeled regions
Not A intersection B intersection C. Region I: Items only in group A, not in B or C. Region II: Items in A and B, but not C. Region III: Items only in B, not in A or C. Region IV: Items in A and C, but not B. Region V: Items in A, B, and C. Region VI: Items in B and C, but not A. Region VII: Items only in C, not in A or B. Region VIII: Items not in any of the groups.
A' ∩ B ∩ C is region VI where B ∩ C but A is not included.
What is Venn Diagram?A Venn diagram can also be referred to as a set diagram or a logic diagram that illustrates various set operations including the intersection, union, and difference of sets. Subsets of a set are also represented using it. A subset of whole numbers, which is a subset of integers, is a collection of natural numbers, as an example.
Given:
The region I represent A.
and, The region III represent B
and, The region VII represent C.
and, the region show A∩B.
and, the region IV shows A ∩ C
and, the region VI shows B ∩ C
and, the region V shows A ∩ B ∩ C.
Now, we want a region where B and C should be intersected but not include region A (A').
So, the regions shows A' ∩ B ∩ C is region VI where B ∩ C but A is not included.
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I solved the first one, what about the rest
According to government data, 22% of American children under the age of 6 live in households with incomes less than the official poverty level. A study of learning in early childhood chooses an SRS of 300 children from one state and finds that p = 0.29. (a) Find the probability that at least 29% of the sample are from poverty level households, assuming that 22% of all children under the age of 6 in this state live in poverty-level households. (b) Based on your answer to part (a), is there convincing evidence that the percentage of children under the age of 6 living in households with incomes less than the official poverty level in this state is greater than the national value of 22%? Explain your reasoning.
(a) The probability that at least 29% of the sample are from poverty level households is 0.0466.
(b) Based on the answer to part (a), there is not enough evidence to suggest that the percentage of children under the age of 6 living in households with incomes less than the official poverty level in this state is greater than the national value of 22%.
The probability of finding at least 29% of the sample from poverty level households is low, indicating that the difference between the observed percentage and the national value is not statistically significant.
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which value of ₓ is the solution to this equation?
5ₓ²=30ₓ-45
A.ₓ=3 C.3√7
B.49√3 D.21√7
Answer:
A. x = 3
Step-by-step explanation:
See picture
Five times the difference of a number minus 11
Answer:
x = 5
Step-by-step explanation:
5(2x-11) = -5
5(2x-11) = -510x - 55 = -5
5(2x-11) = -510x - 55 = -510x - 55 + 55 = -5 + 55
5(2x-11) = -510x - 55 = -510x - 55 + 55 = -5 + 5510x = 50
5(2x-11) = -510x - 55 = -510x - 55 + 55 = -5 + 5510x = 5010x / 10 = 50 / 10
x = 5
I need help with the answer please :)
Answer:
1.339 Canisters
Step-by-step explanation:
Because you are making 5 meatloafs for a party, and according to the recipe you need 1 1/4 cup of breadcrumbs per each meatloaf. In each canister there is 14/3 cups of breadcrumbs which you can see by multiplying the serving size by the servings per container.
Since you need five meatloafs, you can figure out how many cups of breadcrumbs you need by multiplying 1 1/4 cups by 5. This gives you 6 1/4 or 6.25 cups.
In each canister of breadcrumbs, there are 14/3 cups or 4.667 cups of breadcrumbs.
To figure out how many canisters you need, you divide the amount of breadcrumbs you need (6.25 cups) by the amount of breadcrumbs you have (4.667) which gives you 1.339 canisters.
Any help with this one?
The arc of length on the unit circle corresponds to the point (√3, 1) on the unit circle because the unit circle is a circle with a radius of 1, centered at the origin (0, 0).
Why does the arc of length on the unit circle correspond to the point√3 1/22?The arc of length refers to the portion of the circumference of the circle that is covered by the given angle. The circumference of a circle with a radius of 1 is 2π, so the length of the arc is proportional to the angle it covers.When the angle is in radians, the length of the arc is equal to the angle. This means that if we divide the circumference of the circle into 2π equal parts (i.e., radians), the length of one of these parts is equal to 1.So, if the angle covered by the arc is equal to 1 radian, the length of the corresponding arc is equal to 1. This means that the endpoint of the arc lies on the unit circle, at the point that corresponds to the given angle.In this case, if the angle is equal to 1 radian, the endpoint of the arc lies on the unit circle at the point (√3, 1), because this is the point that corresponds to an angle of 1 radian in standard position.To learn more about length of arc refer:
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HELPPPP PLEASEEEEEEEEE
Answer: 44
Step-by-step explanation:
The interior and exterior in these type of problems equal 180. 180 – 136 = 44
a ball is thrown into the air by a baby alien on a planet in the system of alpha centauri with a velocity of 21 ft/s. its height in feet after t seconds is given by y=21t-12t^{2} Find the average velocity for the time period beginning when
The average velocity for the time period beginning when t=3 and lasting for
1) 0.01 s: -9051.12 ft/sec
2) 0.005 s: -18051.06 ft/sec
3) 0.002 s: -45051.1 ft/sec
4) 0.001 s: -90051 ft/sec
Here, a ball is thrown with initial velocity of 46 ft/s.
The height of the ball in feet after t seconds is given by an equation,
y = 21t - 12t²
Let us assume that P represents the average velocity.
The average velocity is given by formula,
P = [y(t₂) - y(t₁)]/[t₂ - t₁]
i) the average velocity for the time period beginning when t=3 and lasting 0.01 s
Here, t₂ = 3.01 s and t₁ = 3 s
y(t₂) = 21(3.01) - 12(3.01)²
= -45.5112
y(t₁) = 21(3) - 12(3)²
= 45
y(t₂) - y(t₁) = -45.5112 - 45
= -90.5112
So, P = -90.5112 / (0.01)
P = -9051.12 ft/sec
ii) the average velocity for the time period beginning when t=3 and lasting 0.005 s
Here, t₂ = 3.005 s and t₁ = 3 s
y(t₂) - y(t₁) = -45.5112 - 45
= -90.2553
So, P = -90.2553 / (0.005)
P = -18051.06 ft/sec
iii) the average velocity for the time period beginning when t=3 and lasting 0.002 s
Here, t₂ = 3.002 s and t₁ = 3 s
y(t₂) - y(t₁) = -45.1021 - 45
= -90.1021
So, P = -90.1021 / (0.002)
P = -45051.1 ft/sec
iv) the average velocity for the time period beginning when t=3 and lasting 0.001 s
Here, t₂ = 3.001 s and t₁ = 3 s
y(t₂) - y(t₁) = -45.051 - 45
= -90.051
So, P = -90.051 / (0.001)
P = -90051 ft/sec
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The complete question is:
A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a velocity of 46 ft/s. Its height in feet after t seconds is given by y = 21t - 12t² . A. Find the average velocity for the time period beginning when t=3 and lasting .01 s: .005 s: .002 s: .001 s: NOTE: For the above answers, you may have to enter 6 or 7 significant digits if you are using a calculator. Estimate the instanteneous velocity when t=3.
whitney invents 3000 in an account earning 4.5% interest that is compounded annually. How much money will be in whitneys account after 10 years
Answer:
4658
Step-by-step explanation:
pls help me with this
The midline of function be 5 , an amplitude of 4 and a period of 3/2 then the sine function be y = 4 sin (4π/3 x) + 5.
What is meant by sine function?The ratio of the opposing side's length to the hypotenuse of a right-angled triangle is known as the sine function in trigonometry. A right triangle's unknown sides or angle can be determined using the sine function.
The ratio of the lengths of the opposing side and the hypotenuse of a right-angled triangle is known as the sine function in trigonometry. Use the sine function to calculate the unknown side or angles of a right triangle.
The sine of the angle is the ratio of the hypotenuse to the perpendicular of a right-angled triangle. The formula for sin is sin = Perpendicular / Hypotenuse.
General sine function a sin b (x - c) + d
amplitude = absolute value of a
b = 2π / period
c = phase shift (horizontal shift)
d = vertical shift (midline is y = d)
Here a = 4, d = 5, and b = 2π / (3/2) = 4π/3, c = 0
Therefore, the sine function be y = 4 sin (4π/3 x) + 5,
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f(x)=x^6+7x^4-17x^2+9 i need all zeros and the behavior and function positive and negattive
The polynomial y = x⁶ + 7 · x⁴ - 17 · x² + 9 has two real zeros: x = 1, x = - 1. The polynomial diverges to + ∞ when x → ± ∞.
How to find the zeros and end behavior of a sextic equation
Sextic equations are polynomials of grade six, whose form is described below:
y = a · x⁶ + b · x⁵ + c · x⁴ + d · x³ + e · x² + f · x + g
Where a, b, c, d, e, f, g are real coefficients.
According to Bolzano's theorem, given a function f(x) defined for interval [a, b], there is at least a value of x such that f(x) = 0. For polynomials with integer coefficients, zeros may be divisors of grade zero coefficient. Then, the possible candidates for zeros of the sextic equation:
Possible roots = - 9, + 9, - 3, + 3, - 1, + 1
Now we proceed to check possible roots:
x = - 9
y = (- 9)⁶ + 7 · (- 9)⁴ - 17 · (- 9)² + 9
y = 576000
x = 9
y = 9⁶ + 7 · 9⁴ - 17 · 9² + 9
y = 576000
x = - 3
y = (- 3)⁶ + 7 · (- 3)⁴ - 17 · (- 3)² + 9
y = 1152
x = 3
y = 3⁶ + 7 · 3⁴ - 17 · 3² + 9
y = 1152
x = - 1
y = (- 1)⁶ + 7 · (- 1)⁴ - 17 · (- 1)² + 9
y = 0
x = 1
y = 1⁶ + 7 · 1⁴ - 17 · 1² + 1
y = 0
The end behavior of polynomial is defined by sign of lead coefficient, that is, the real coefficient of the highest exponent of the polynomial. In addition, polynomials does not converge at any value for x → ± ∞.
According to given information, the lead coefficient of polynomial y = x⁶ + 7 · x⁴ - 17 · x² + 9 diverges to + ∞ when x → ± ∞, since grade of polynomial is an even number.
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3 Coffee 5.85
1 Diet Bev. – lg. 3.38
1 Sparkling Water 2.50
3 Ranch Chicken Sandwich 44.97
1 Classic Burger 12.95
1 Thai Stir-fry Special 11.50
2 Club Sandwich 22.98
Subtotal 104.13
Tax (13%) 13.54
Total 117.67
5. The students should not have been charged for the two club sandwiches that
appear on the bill. How much should be subtracted from the bill, including
taxes?
