Every year, Shannon and her sister attend 'The Nutcracker' at the Arcadia Ballet. Last year, orchestra seating cost $50 per ticket. This year, each ticket was 14% more expensive. What was the cost of each ticket this year?

Answers

Answer 1

Answer:

$57

Step-by-step explanation:

14% of $50 is:

.14 × 50

= 7

This means the ticket was $7 more.

The price was $50 + $7

Each ticket cost $57.


Related Questions

Given that m∠A=​(16​x)°​, m∠C=(8x+20)°​, and m∠D=128°​, what is m∠B

Answers

The value of m∠B is 212 - 24x.

How did we get the value?

The totality of the angles in a quadrilateral is always amount to 360°. This is a primary property of all quadrilaterals, irrespective of their shape or size.

As a result, irrespective of the shape say if you are dealing with a square, rectangle, parallelogram, trapezoid, or any other type of quadrilateral, the totality of the angles will always be sum to 360°.

To determine the value of m∠B, one can employ the notion that the sum of the angles in a quadrilateral is 360°.

Thus,

m∠A + m∠B + m∠C + m∠D = 360

Substituting the given values, we get:

(16x)° + m∠B + (8x+20)° + 128° = 360

Simplifying and solving for m∠B, we get:

m∠B = 360 - (16x)° - (8x+20)° - 128°

m∠B = 212 - 24x

Therefore, the value of m∠B is 212 - 24x.

learn more about sum of the angles in a quadrilateral: https://brainly.com/question/17464621

#SPJ1

Line A has a y-intercept of 3 and is perpendicular to the line given by
y = 5x + 2.
What is the equation of line A?
Give your answer in the form y = mx + c, where m and c are integers or
fractions in their simplest forms.

Answers

Answer:

Step-by-step explanation:

The given line is y = 5x + 2. We know that any line perpendicular to this line will have a slope that is negative reciprocal of 5. The negative reciprocal of 5 is -1/5.

Line A is perpendicular to y = 5x + 2, so it has a slope of -1/5. We also know that the y-intercept of line A is 3. Therefore, the equation of line A can be written as:

y = (-1/5)x + 3

or in the form y = mx + c, where m = -1/5 and c = 3.

Pls help me


Hunter is playing a video game on his tablet. The screen on the tablet is 8 inches long and 6 inches tall. The monster he is fighting on-screen is 5 inches tall. If Hunter connects his tablet to a 40-inch TV screen with the same 4:3 aspect ratio, how tall will the monster be?

Answers

The height of the monster on the 40-inch TV screen will be 8 inches, which is larger than its height on Hunter's tablet.

First, we need to find out the scale of the monster on Hunter's tablet, which can be calculated as follows

Screen aspect ratio = 8/6 = 4/3

Height of monster on tablet = 5 inches

Width of monster on tablet = (4/3) x 5 = 6.67 inches (because the aspect ratio is 4:3, the width of the monster is 4/3 times its height)

Next, we need to find out the height of the monster on the 40-inch TV screen, which has the same 4:3 aspect ratio as the tablet screen. We can do this by using a proportion

Tablet screen height, Tablet screen width = TV screen height : TV screen width

Substituting the values we know, we get,

6 inches : 8 inches = TV screen height : 10.67 inches (because 40 inches is 4/3 times the width of the TV screen)

Solving for TV screen height, we get,

TV screen height = (6/8) x 10.67 = 8 inches

Learn more about aspect ratio here

brainly.com/question/17553807

#SPJ4

Solve the math problem shown in the picture

Answers

The value of x is 8/3 or 2.67 cm (rounded to two decimal places).

What is right angled triangle ?

The problem at hand entails determining the value of a variable "x" in a right-angled triangle.

We can begin by applying the Pythagorean Theorem, which states that the square of the length of the hypotenuse in a right-angled triangle equals the sum of the squares of the lengths of the other two sides.

We have a right-angled triangle ABC in this case, with AC as the hypotenuse, AB as one of the other sides, and BC as the remaining side.

We know that AB equals 5 cm and BC equals x cm. We must locate AC.

The Pythagorean Theorem yields:

[tex]AC^2 = AB^2 + BC^2[/tex]

[tex]AC^2 = 5^2 + x^2[/tex]

[tex]AC^2 = 25 + x^2[/tex]

Also, we know that AC = 2x + 1. We get the following result when we plug this number into the above equation:

[tex](2x + 1)^2 = 25 + x^2[/tex]

[tex]4x^2 + 4x+ 1 = 25 + x^2[/tex]

[tex]3x^2 + 4x - 24 = 0[/tex]

The above quadratic equation can be factored as follows:

[tex](3x - 8)(x + 3) = 0[/tex]

As a result, either[tex]3x - 8 = 0 or x + 3 = 0.[/tex]

We get the following when we solve for x:

3x - 8 = 0

3x = 8

x = 8/3

or

x + 3 = 0

x = -3

We reject the second solution because length cannot be negative.

As a result, the value of x is 8/3 or 2.67 cm (rounded to two decimal places).

To know more about Quadratic Equation visit:

brainly.com/question/30098550

#SPJ1

1 Write a positive or negative number to represent each change in the high temperature. Tuesday's high temperature was 4 degrees less than Monday's high temperature. ​

Answers

Thursday’s high temperature was 6.5 degrees more than Wednesday’s high temperature.

Average temperature is calculated as (Monday's temperature plus Tuesday's temperature plus Wednesday's temperature plus Thursday's temperature)/Total days.

Temporary for Monday and Tuesday plus Temperatures for Wednesday and Thursday.

The sum of the temperatures for Monday, Tuesday, Wednesday, and Thursday is equal.

As stated, the 6.5 degree average for the days of Tuesday, Wednesday, Thursday, and Friday.

using the formula no.

Average temperature is equal to (Tuesday's temperature plus Wednesday's temperature plus Thursday's temperature plus Friday's temperature)/Total days.

Thus, Thursday’s high temperature was 6.5 degrees more than Wednesday’s high temperature.

To know more about temperature, click the below link

https://brainly.com/question/11464844

#SPJ4

the complete question is

Write a positive or negative number to represent each change in the high temperature.

1. Tuesday’s high temperature was 4 degrees less than Monday’s high temperature. ?

2. Wednesday’s high temperature was 3.5 degrees less than Tuesday’s high temperature. ?

3. Thursday’s high temperature was 6.5 degrees more than Wednesday’s high temperature. ?

4. Friday’s high temperature was 2 degrees less than Thursday’s high temperature. ?

X has uniform distribution on (-1,1]. Which of the following statements is incorrect? O f(x) = 0.5 for-1 sxs1 OP(X 30.5) = 0.5 OP(X S 1) = 1 O E[X] = 0 O Var(x) = }

Answers

Given, X has a uniform distribution on the interval (-1,1]. We are to determine the incorrect statement among the following:

Statement 5: The variance of a uniform distribution is (b-a)^2/12. Here, a=-1 and b=1. Hence, Var(X) = (1-(-1))^2/12 = 1/3. This statement is correct .Therefore, the incorrect statement is P(X ≤ 0.5) = 0.5.

Statement 1: f(x) = 0.5 for -1 < x ≤ 1Statement 2: P(X ≤ 0.5) = 0.5Statement 3: P(X ≤ 1) = 1Statement 4: E[X] = 0Statement 5: Var(X) = 1/3Let's check each statement one by one:

Statement 1: The probability density function (PDF) of a uniform distribution is f(x) = 1/(b-a) for a < x ≤ b. Here, a=-1 and b=1. Hence, f(x) = 1/(1-(-1)) = 0.5 for -1 < x ≤ 1. This statement is correct.

Statement 2: The cumulative distribution function (CDF) of a uniform distribution is F(x) = (x-a)/(b-a) for a < x ≤ b. Here, a=-1 and b=1. Hence, [tex]P(X ≤ 0.5) = F(0.5) = (0.5-(-1))/(1-(-1)) = 0.75[/tex], which is not equal to 0.5. Therefore, this statement is incorrect.

Statement 3: P(X ≤ 1) = F(1) = (1-(-1))/(1-(-1)) = 1. This statement is correct.

Statement 4: The expected value of a uniform distribution is (a+b)/2. Here, a=-1 and b=1. Hence,[tex]E[X] = (-1+1)/2 = 0.[/tex] This statement is correct.

for such more questions on probability density function

https://brainly.com/question/28705601

#SPJ11

the diameters of ball bearings are distributed normally. the mean diameter is 58 millimeters and the standard deviation is 6 millimeters. find the probability that the diameter of a selected bearing is greater than 52 millimeters. round your answer to four decimal places.

Answers

The probability that the diameter of a selected bearing is greater than 52 millimeters is 0.8413. This can be calculated using the formula for probability of a normal distribution:

P(x > 52) = 1 - P(x ≤ 52)

P(x ≤ 52) = (52 - 58) / 6 = -1

P(x > 52) = 1 - P(-1) = 1 - 0.1587 = 0.8413.

Therefore, the probability that the diameter of a selected bearing is greater than 52 millimeters is 0.8413.

The diameters of ball bearings are distributed normally. the mean diameter is 58 millimeters and the standard deviation is 6 millimeters : https://brainly.com/question/31110857

#SPJ11

Question 2:
(1.5 points)
All of the following rectangle's width to length ratio is 2 to 3. Fill in the missing lengths.
(Hint: The width is the shorter side; the length is the longer side.)
inches in the width, there are
a. For every
inches in the length.
2 inches
4 inches
6 inches
8 inches

Answers

Answer:

Step-by-step explanation:

If the width to length ratio is 2 to 3, then for every 2 inches in the width, there are 3 inches in the length.

a. For 2 inches in the width, there are 3 inches in the length.

b. For 4 inches in the width, there are 6 inches in the length.

c. For 6 inches in the width, there are 9 inches in the length.

d. For 8 inches in the width, there are 12 inches in the length.

The length of the rectangle is 12 inches.

What is the ratio?

Ratio is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

We are given that;

Width to length ratio = 2 to 3

Now,

Since the width to length ratio is 2 to 3, we can express the width as 2x and the length as 3x, where x is some constant. Then, we can use the given information to solve for x.

a. For every 2 inches in the width, there are 3 inches in the length.

This means that:

2x = 2 inches

3x = 3 inches

Solving for x, we get:

x = 1 inch

Then, we can find the length by multiplying x by the length factor:

3x = 3 inches

Therefore, the length of the rectangle is 3 inches.

b. For every 4 inches in the width, there are 6 inches in the length.

This means that:

2x = 4 inches

3x = 6 inches

Solving for x, we get:

x = 2 inches

Then, we can find the length by multiplying x by the length factor:

3x = 6 inches

Therefore, the length of the rectangle is 6 inches.

c. For every 6 inches in the width, there are 9 inches in the length.

This means that:

2x = 6 inches

3x = 9 inches

Solving for x, we get:

x = 3 inches

Then, we can find the length by multiplying x by the length factor:

3x = 9 inches

Therefore, the length of the rectangle is 9 inches.

d. For every 8 inches in the width, there are 12 inches in the length.

This means that:

2x = 8 inches

3x = 12 inches

Solving for x, we get:

x = 4 inches

Then, we can find the length by multiplying x by the length factor:

3x = 12 inches

Therefore, by the given ratio the answer will be 12 inches.

Learn more about the ratio here:

brainly.com/question/13419413

#SPJ2

Halle el valor de x y de y en el siguiente diagrama. Use el teorema de Tales:

No olvide adjuntar los procedimientos.

doy 20 puntos por favor es paea YAAAA

Answers

The value of  y = 2.34 and x = 2.31

What are the similar triangles?

Similar triangles are a pair of triangles that have the same shape but may differ in size. This means that their corresponding angles are congruent, and their corresponding sides are proportional. Similar triangles are an important concept in geometry.

Here two similar triangles are given below, ΔABC ≈ ΔCEF

For similar triangle we can write,

⇒ CE/CF = AE/BF

⇒ 3.9/5 = y/3    ⇒ y = (3×3.9)/5

So, y = 2.34

Similarly,

⇒ CF/CB = EF/AB

⇒ 5/8 = x/3.7    ⇒ x = (5×3.7)/8

⇒ x = 18.5/8 = 2.31

Therefore, The value of  y = 2.34 and x = 2.31

To know more about triangle, visit:

https://brainly.in/question/17424774

#SPJ1

According to the question the value of triangles y = 2.34 and x = 2.31

What are the similar triangles?

Similar triangles are a pair of triangles that have the same shape but may differ in size. This means that their corresponding angles are congruent, and their corresponding sides are proportional. Similar triangles are an important concept in geometry.

Here two similar triangles are given below, ΔABC ≈ ΔCEF
For similar triangle we can write,
⇒ CE/CF = AE/BF
⇒ 3.9/5 = y/3    ⇒ y = (3×3.9)/5
So, y = 2.34
Similarly,
⇒ CF/CB = EF/AB
⇒ 5/8 = x/3.7    ⇒ x = (5×3.7)/8
⇒ x = 18.5/8 = 2.31
Therefore, The value of  y = 2.34 and x = 2.31

To know more about triangle, visit:
https://brainly.com/question/28470545
#SPJ1

Solve the following system of equations algebraically:x+y=7, x+2y=11

Answers

Answer:

(3, 4)

Step-by-step explanation:

Pre-Solving

We are given the following system of equations:

x + y = 7

x + 2y = 11

We want to solve to find the values of x and y.

Solving

There are three ways to solve a system of equations: substitution, graphing, and elimination.

Any one of these methods will work, however let's do elimination for this.

To eliminate, we can add or subtract the equations together to clear the variables.
It is helpful to rewrite this system as:

x + 2y = 11

x + y = 7

We can subtract x + y = 7 from x+2y=11:

x + 2y = 11

-(x+y = 7)

This is equivalent to:
x + 2y = 11

-x - y = - 7

_________

0 + y = 4

So, y = 4

Now, we need to find x.

We can plug in 4 for y in either x + y = 7 or x + 2y = 11.

Taking x + y =7 for instance:

x + 4 = 7

Subtract 4 from both sides.

x = 3

So, x = 3 and y =4

As a point, this is (3, 4).

Write a quadratic function in standard form that passes through the points (-8,0), (-5,-3), and (-2,0)

Answers

A quadratic function in standard form that passes through the points (-8,0), (-5,-3), and (-2,0) is equals to the f(x) = (1/3)( x² + 10x + 16).

A quadratic function is a polynomial function with one or more variables, the highest degree of the variable is two. It is also called the polynomial of degree 2. The form of quadratic function is

f(x) = ax² + bx + c ----(1)

is determined by three points and must be a≠ 0. That is for determining the f(x) we have to determine value of three values a, b, and c. Now, we have three ordered pairs (-8,0), (-5,-3), and (-2,0) and we have to determine quadratic function passing through these points. So, firstly, plug the coordinates of point ( -8,0), x = -8, y = f(x) = 0 in equation (1),

=> 0 = a(-8)² + b(-8) + c

=> 64a - 8b + c = 0 --(2)

Similarly, for second point ( -5,-3) , f(x) = -3, x = -5

=> - 3 = a(-5)² + (-5)b + c

=> 25a - 5b + c = -3 --(3)

Continue for third point (-2,0)

=> 0 = a(-2)² + b(-2) + c

=> 4a -2b + c = 0 --(4)

So, we have three equations and three values to determine.

Subtract equation (4) from (2)

=> 64 a - 8b + c - 4a + 2b -c = 0

=> 60a - 6b = 0

=> 10a - b = 0 --(5)

subtract equation (4) from (3)

=> 21a - 3b = -3 --(6)

from equation (4) and (5),

=> 3( 10a - b) - 21a + 3b = -(- 3)

=> 30a - 3b - 21a + 3b = 3

=> 9a = 3

=> a = 1/3

from (5) , b = 10a = 10/3

from (4), c = 2b - 4a = 20/3 - 4/3 = 16/3

So, f(x)= (1/3)( x² + 10x + 16)

Hence, required values are 1/3, 10/3, and 16/3.

For more information about quadratic function, visit :

https://brainly.com/question/25841119

#SPJ4

determine the general solution of tan 3x .1/tan24°-1=0​

Answers

The general solution of the given trignometric function tan3x . 1/tan24° - 1 = 0​ is x = nπ/3 + 2π/45.

What are trigonometric functions?

Trigonometry is a field of mathematics that deals with correlations between angles and length ratios (from the Ancient Greek v (trgnon) "triangle" and v (métron) "measure").

The field was created in the Hellenistic era in the third century BC as a result of the use of geometry in astronomical research.

While Indian mathematicians produced the earliest tables of values for trigonometric ratios (also known as trigonometric functions), such as sine, the Greeks concentrated on chord calculation.

Trigonometry has been used historically in fields like geodesy, surveying, celestial mechanics, and navigation.

So, we have the function:

tan3x . 1/tan24° - 1 = 0​

Now, solve as follows:

tan3x . 1/tan24° - 1 = 0​

tan3x - tan24° = 0

tan3x = tan24°

tan3x = tan(24π/180)

3x = nπ + 2π/15

x = nπ/3 + 2π/45

Therefore, the general solution of the given trignometric function tan3x . 1/tan24° - 1 = 0​ is x = nπ/3 + 2π/45.

Know more about trigonometric functions here:

https://brainly.com/question/1143565

#SPJ1

what is the as surface area of the rectangular prism ​

Answers

Answer:

142 sq cm

Step-by-step explanation:

A= 2(lh + wh + lw)

2(7*3+5*3+7*5)

2(21+15+35)

2(71)

A= 142 sq cm

It’s going to a. 142 square cm


-you multiply the length x width to find the surface area

g suppose the acme drug company what is the probability that the percent difference of -.13 or less is seen if the true difference is 0

Answers

To conclude, the probability of the Acme Drug Company seeing a percent difference of -.13 or less if the true difference is 0 is quite low and is equal to 0.0934.

The probability that the Acme Drug Company would see a percent difference of -.13 or less if the true difference is 0 is quite low. This is because a difference of -.13 is a very small percentage in comparison to a true difference of 0.

Mathematically, the probability of this happening would be equal to the area under the standard normal distribution curve for values between -0.13 and 0. In other words, the probability that the Acme Drug Company would see a percent difference of -.13 or less if the true difference is 0 is equal to the area from the left tail of the standard normal distribution curve up to the mean (0) of the curve.

Using a standard normal distribution calculator, we can see that the probability of the Acme Drug Company seeing a percent difference of -.13 or less is 0.0934. This probability is extremely low and it is not likely that the Acme Drug Company would experience such a small percent difference.

for such more questions on probability
https://brainly.com/question/13604758
#SPJ11

question at a local ice-cream store, 210 people were surveyed on whether they preferred eating ice cream from a cone or a cup. of the 210 people surveyed, 70 were adults and 140 were children. of the responses, 150 indicated the cone as the preferred method of eating ice cream. for those surveyed, there was no association between age and preferred method of eating ice cream. which of the following tables shows the distribution of responses? responses

Answers

Based on the information provided, the table that correctly displays the data is table III.

What conditions should be met for the table to correctly display the data?To begin, the table should show the total of people surveyed was 210 people.In the table, the total of adults should be 70 and the total of children should be 140.The table should show the results between those who preferred cones vs cups are distributed between adults and children rather than cup or cone being significantly preferred by a group.

Note: The question is incomplete; below I attach the missing information:

Learn more about tables in https://brainly.com/question/10670417

#SPJ1

Solve the inequality 12≥ 73x + 2

Answers

10/73 is the value of x in inequality.

What does the word "inequality" mean?

In mathematics, inequalities describe the connection between two values that are not equal. Equal does not imply inequality. The "not equal symbol ()" is typically used to indicate that two values are not equal.

                    However different inequalities are used to compare the values to determine if they are less than or higher than. The term "inequality" refers to a relationship between two expressions or values that is not equal to one another. Inequality originates from an imbalance, thus.

the inequality  12≥ 73x + 2

                    = 12 - 2  ≥  73x

                     = 10 ≥ 73x

                   = 10/73 ≥ x

Learn more about inequality

brainly.com/question/30231190

#SPJ1

5x=y you have to solve for x

Answers

ANSWER:
x=y/5
STEPS:
1. Divide each term in 5x=y

2. Simplify

----------------------
I hope this helped!! Much love <333

Jacinta has 2 blue marbles, 4 red marbles, and 5 green marbles in a bag. All the

marbles are the same size. She will select one marble from the bag without looking. Ext

What is the probability that Jacinta will select a green marble? Write your answer as

fraction.

Answers

the probability of Jacinta selecting a green marble is 5/11. The total number of marbles in the bag is:

2 (blue) + 4 (red) + 5 (green) = 11

The probability of selecting a green marble can be found by dividing the number of green marbles by the total number of marbles:

P(selecting a green marble) = number of green marbles / total number of marbles

= 5 / 11

Therefore, the probability of Jacinta selecting a green marble is 5/11. Answer: 5/11.

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

To know more about probability, visit: brainly.com/question/30034780

#SPJ4

Research has shown that IQ scores have been increasing for years (Flynn, 1984, 1999). The phenomenon is called the Flynn effect and the data indicate that the increase appears to average about 7 points per decade. To examine this effect, a researcher obtains an IQ test with instructions for scoring from 10 years ago and plans to administers the test to a sample of n = 25 of today’s high school students. Ten years ago, the scores on this IQ test produced a standardized distribution with a mean of μ = 100 and a standard deviation σ = 15. If there actually has been a 7-point increase in the average IQ during the past 10 years, then find the power of the hypothesis test for each of the following.
a. The researcher uses a two-tailed hypothesis test with α = .05 to determine if the data indicate a significant change in IQ over the past 10 years.
b. The researcher uses a one-tailed hypothesis test with α = .05 to determine if the data indicate a significant increase in IQ over the past 10 years.

Answers

A. The power of the two-tailed hypothesis test with α = .05 is 0.53.

B. The power of the one-tailed hypothesis test with α = .05 is 0.95.

What is hypothesis test?

A hypothesis test is used to make decisions about a population based on sample data. It involves specifying a null hypothesis, collecting data, and then assessing the data to either reject or accept the null hypothesis.

A. The power of the two-tailed hypothesis test is calculated using the formula:

Power=

1- β=1- (1-α)[tex]^{1/2}[/tex]

=1- (1-0.05)[tex]^{1/2}[/tex]

=0.525

=0.53

This means that the researcher has an 53% chance of correctly rejecting the null hypothesis that there has been no change in the IQ over the past 10 years.

B. The power of the one-tailed hypothesis test is calculated using the formula:

Power=

1- β=1- α

=1- 0.05

= 0.95

This means that the researcher has a 95% chance of correctly rejecting the null hypothesis that there has been no increase in the IQ over the past 10 years.

This is a higher power than the two-tailed test because the one-tailed test focuses on detecting an increase in the IQ, while the two-tailed test can detect both an increase or decrease in the IQ.

For more questions related to null hypothesis

https://brainly.com/question/15980493

#SPJ1

Fish tanks are often in
the shape of a
rectangular prism.
Looking at this photo,
how does this relate to
the math concept of
volume, which we have
been working on.

Answers

Answer:

Volume = length x width x height

Step-by-step explanation:

A rectangular prism is a three-dimensional solid object with six faces, where each face is a rectangle. The shape of a rectangular prism is defined by its length, width, and height. The volume of a rectangular prism is the amount of space it occupies and can be calculated by multiplying its length, width, and height. The formula for the volume of a rectangular prism is:

Volume = length x width x height

Understanding the shape of a rectangular prism and its formula for volume is essential in various fields, such as architecture, engineering, and physics, where it is necessary to calculate the volume of objects for design and analysis purposes.

If you multiply that is how u get volume

In a cross AaBbCc times AaBbCc, what is the probability of producing the genotype AABBCC?- 1/4- 1/8- 1/16- 1/32.- 1/64

Answers

The probability of producing the genotype AABBCC in a cross AaBbCc × AaBbCc is 1/64.

A Punnett square is a grid used to forecast the likelihood of an offspring of a mating between two parents with known genotypes. The grid consists of four boxes or cells with one parent's gamete genotype listed along the top, and the other parent's gamete genotype listed down the side.

To determine what proportion of their offspring will possess a certain genotype or phenotypic characteristic, the gamete genotypes are combined using the grid.

You can learn more about genotype at: brainly.com/question/29156144

#SPJ11

Figure 2 shows some typical Lorenz curves. They all pass through the points (0,0) and (1, 1) and are concave upward. In the extreme case L(x) = x, society is perfectly egalitarian: the poorest a% of the population receives a % of the total income and so everybody receives the same income. The area between a Lorenz curve y - L(x) and the line y = x measures how much the income distribution differs from absolute equality. The Gini index (sometimes called the Gini coefficient or the coefficient of inequality) is the area between the Lorenz curve and the line y = x(shaded in Figure 3) divided by the area under y = x. (0.8.0.51, 1. (a) Show that the Gini index G is twice the area between the Lorenz curve and the line y = x, that is, 10.4.0.12) G=2 = 2 [[x - L(x)] dx 0 0.2 0.4 0.6 0.8 1 FIGURE 1 Lorenz curve for the US in 2010 (b) What is the value of G for a perfectly egalitarian society (everybody has the same income)? What is the value of G for a perfectly totalitarian society (a single person receives all the income?)

Answers

To summarize, a perfectly egalitarian society has a Gini index of 0, and a perfectly totalitarian society has a Gini index of 1.

The Gini index (G) measures how much the income distribution differs from absolute equality.

It is calculated as the area between a Lorenz curve y - L(x) and the line [tex]y = x[/tex]divided by the area under [tex]y = x.[/tex] For a perfectly egalitarian society (where everybody has the same income), the Lorenz curve is a perfect straight line, passing through points (0,0) and (1,1). Since the line y = x is the same as the Lorenz curve in this case, the Gini index (G) will be 0. This means that the income distribution is perfectly equal and that there is no inequality between individuals.

On the other hand, a perfectly totalitarian society (where a single person receives all the income) will have a Gini index of 1. This means that there is a huge inequality between individuals, with the single person receiving all of the income.

for such more questions on Lorenz curve

https://brainly.com/question/13595508

#SPJ11

the price of an item has been reduced by 15%. The original price was $37.

Answers

Answer:

$31.45

Step-by-step explanation:

If something was reduced by 15 percent its the same as .85x or 85% of the original price. 37*.85 = $31.45

7,600 dollars is placed in a savings account with an annual interest rate of 6%. If no money is added or removed from the account, which equation represents how much will be in the account after 7 years?

Answers:
M=7,600(1+0.06)(1+0.06)
M=7,600(1-0.06)^7
M=7,600(1+0.06)^7
M=7,600(0.06)^7

Answers

Answer: M = 7,600(1+0.06)^7

Step-by-step explanation:

The equation that represents how much will be in the account after 7 years is:

M = 7,600(1+0.06)^7

Here's the explanation:

The formula for calculating the future value (M) of a present value (P) invested at an annual interest rate (r) for a certain number of years (t) is M = P(1+r)^t.

In this case, the present value (P) is 7,600 dollars, the annual interest rate (r) is 6% or 0.06, and the number of years (t) is 7.

Substituting these values into the formula, we get M = 7,600(1+0.06)^7. This represents how much will be in the account after 7 years if no money is added or removed from the account.

Computer response time is an important application of the gamma and exponential distribution. Suppose that a study of 200 computers reveals that the response time in seconds has an exponential distribution with a mean of 3 seconds. What is the probability that the response time exceeds 5 seconds and what proportion of the computers studied will have response time less than 3 seconds?

Answers

The computer response time is a crucial application of the gamma and exponential distribution. The proportion of computers studied that will have a response time less than 3 seconds is 0.6321 or 63.21%.

If a study of 200 computers shows that the response time in seconds has an exponential distribution with a mean of 3 seconds, then the probability that the response time exceeds 5 seconds and the proportion of the computers studied will have a response time less than 3 seconds can be calculated as follows:The mean of the exponential distribution is equal to the reciprocal of the rate parameter, λ, i.e.,E(X) = λ-1 Given, the mean response time, E(X) = 3 seconds.The mean of the exponential distribution, E(X) = λ-1= 3 seconds. Therefore,λ = 1/3. The probability that the response time exceeds 5 seconds can be calculated as:P(X > 5) = e -λx= e -(1/3) (5)= 0.0498 The probability that the response time exceeds 5 seconds is 0.0498 or 4.98%.The proportion of computers studied that will have a response time less than 3 seconds can be calculated as:P(X < 3) = 1 - P(X > 3)= 1 - e -λx= 1 - e -(1/3) (3)= 1 - e -1= 1 - 0.3679= 0.6321 or 63.21%.

For more questions on proportion

https://brainly.com/question/870035

#SPJ11

Simplify (cos^2a - cot^2a)/(sin^2a - tan^2a)

Answers

Answer:

The simplified expression is sec^2a

Step-by-step explanation:

We can start by using the trigonometric identities:

cot^2 a + 1 = csc^2 a

tan^2 a + 1 = sec^2 a

Using these identities, we can rewrite the expression as:

(cos^2 a - cot^2 a)/(sin^2 a - tan^2 a)

= (cos^2 a - (csc^2 a - 1))/(sin^2 a - (sec^2 a - 1))

= (cos^2 a - csc^2 a + 1)/(sin^2 a - sec^2 a + 1)

Now we can use the identity:

sin^2 a + cos^2 a = 1

to rewrite the expression further:

= (1/sin^2 a - 1/sin^2 a cos^2 a)/(1/cos^2 a - 1/cos^2 a sin^2 a)

= (1 - cos^2 a)/(sin^2 a - sin^2 a cos^2 a)

= sin^2 a / sin^2 a (1 - cos^2 a)

= 1 / (1 - cos^2 a)

= sec^2 a

Therefore, the simplified expression is sec^2 a.

the revenue of a technology company, in thousands of dollars, can be modeled with an exponential function whose starting value is $395,000 where time is measured in years after 2010. which function predicts exactly 1.2% of annual growth: or ? explain your reasoning.

Answers

The exponential function that can model the revenue of a technology company whose starting value is $395,000 in 2010 at 1.2% annual growth is b) S(t)=395*(1.012)^(t).

What is an exponential function?

An exponential function is a mathematical function that calculates the exponential growth or decay of a given data set.

An exponential function is defined by the formula f(x) = ab^x.

There are two kinds of exponential functions:

Exponential growth functionExponential decay function.

Starting value of the revenue in thousands of dollars = $395,000

Time measured in years after 2010 = t

Annual growth rate = 1.2%

Thus, the exponential function that mirrors the revenue growth is b) S(t)=395*(1.012)^(t).

Learn more about exponential functions at https://brainly.com/question/30127596.

#SPJ1

Question Completion:

a) R(t)=395*e^((0.012t))

b) S(t)=395*(1.012)^(t)

HELP ASAP!!
A kite is flying 10 feet off the ground. It’s line is pulled out in casts a 9 foot shadow, find the length of the line if necessary round to the nearest 10th.

Answers

Answer:

We can use similar triangles to solve this problem. Let's call the length of the kite's line "x". Then, we can set up a proportion:

(length of kite) / (length of shadow) = (height of kite) / (length of shadow)

x / 9 = 10 / 9

To solve for x, we can cross-multiply and simplify:

x = 90 / 9

x = 10

Therefore, the length of the kite's line is 10 feet.

Step-by-step explanation:

Consider a Markov chain with transition matrix 1 2345 1 (1/2 1/2 0 0 0 2 2/3 0 1/3 0 0 3 3/4 0 0 /4 0 44/5 00 0 1/5 5 5/6 0 000 defined by i/(i + 1), if j = 1, Pij = l/(i +1), if j = i +1, 0, otherwise. (a) Does the chain have a stationary distribution? If yes, exhibit the distribution. If no, explain why (b) Classify the states of the chain (c) Repeat part (a) with the row entries of P switched. That is, let 1/(i +1), ifjsl. 0, otherwise

Answers

Considering the Markov chain with transition matrix, the chain does have stationary distribution which exhibits State 1 is transient and the stationary distribution is (2/9, 4/9, 8/27, 16/81, 32/729).

(a) Yes, the chain has a stationary distribution. To find it, we need to solve the system of equations π = πP, where π   is the vector of probabilities for each state and P is the transition matrix. This gives us:

π_{1} = π(1/2)

π_{2} = π(1/3) + π(2/2)

π_{3}= π(2/4) + π(3/2)

π_{4} = π(3/5) + π(4/2)

π_{5}= π4/5

We also have the normalization condition π1 + π2 + π3 + π4 + π5 = 1.

Solving this system of equations, we get:

π_{1} = 10/97

π_{2} = 30/97

π_{3}= 40/97

π_{4} = 14/97

π_{5}= 3/97

So the stationary distribution is (10/97, 30/97, 40/97, 14/97, 3/97).

(b) State 1 is transient, and all other states are recurrent.

(c) Yes, the chain still has a stationary distribution. We need to solve the system of equations  π = Pπ, where P is the new transition matrix. This gives us:

π_{1} = π(1/2)

π_{2} = π(1/3) + π(2/2)

π_{3}= π(2/4) + π(3/2)

π_{4} = π(3/5) + π(4/2)

π_{5}= π4/5

We also have the normalization condition π1 + π2 + π3 + π4 + π5 = 1.

Solving this system of equations, we get:

π_{1} = 2/9

π_{2}  = 4/9

π_{3} = 8/27

π_{4} = 16/81

π_{5}  = 32/729

So the stationary distribution is (2/9, 4/9, 8/27, 16/81, 32/729)

To learn more about transition matrix:

https://brainly.com/question/14288049

#SPJ11

binomial: red-green color blindness is the most common form of color-blindness and effects 6% of males. if 7 unrelated males are selected at random, what is the probability that at least one of them has red-green color-blindness? round your answer to 4 decimals.

Answers

The probability that at least one of the males has red-green color blindness is 0.6057.

Number of males in a group, n = 7

Probability of red-green color blindness, p = 0.06

Probability of non-red-green color blindness, q = 0.94

P(at least one of them has red-green color blindness) = 1 - P(none of them has red-green color blindness)

Probability of none of the males in the group having red-green color blindness = P(X = 0)

Now, let us apply the Binomial Probability formula, which is:

P(X = x) = (nCx)pxq^n−x where n = 7, x = 0, p = 0.06, q = 0.94

P(X = 0) = (7C0)(0.06)0.94^(1 - 0.06)7-0

= 0.3943

Now, using the given formula:

P(at least one of them has red-green color blindness) = 1 - P(none of them has red-green color blindness)

P(at least one of them has red-green color blindness) = 1 - 0.3943

P(at least one of them has red-green color blindness) = 0.6057

Therefore, the probability that at least one of the males has red-green color blindness is 0.6057.

To learn more about binomial probability refer :

https://brainly.com/question/29350029

#SPJ11

Other Questions
A barista mixes 12lb of his secret-formula coffee beans with 15lb of another bean that sells for $18 per lb. The resulting mix costs $20 per lb. How much does the barista's secret-forumula means cost per pound? Work out the fraction and ratio thatcomplete the equations below.Give each answer in its simplest form.a) h:k=5:6h =kb) 2x=9yx:y=: Directions: Create a visual organizer to help you understand the concept of bias and prejudice.Definition (own words)Answer:CharacteristicsAnswer:BIASExamples (own life)Answer:Examples (from others' lives)Answer:Good Perfect Complete=BrainlistCopy Wrong Incomplete=ReportGood Luck Answer Brainly Users:-) Select all the instruments listed that play in the first movement of Bach's Suite No. 3 in D Major.a.Oboesb.Basso continuo instrumentsc.Timpanid.Woodwindse. Trumpets a.us bookmarksIntroducing and Closing TopicsClimbing Mount Everestng at 29,029 feet in the air, Mount Everest ise Himalayas between Nepal and China. Forturers, climbing Mount Everest is the greatestbe achieved in the world. It is a dangerousmany people have failed in the attempt. But forwho succeed, the chance to actually stand onorld is well worth the risk.3, Sir Edmund Hillary and Tenzing Norgayfirst people in recorded history to stand on topI took them over two months from the time theycamp, but on May 29, they reached ther they got back, people wanted to know whichhad been the first one to the top. They toldthey both had been the first to reach the topad been a team effort. After a few years,zing Norgay said that it was Hillary that hadtop first. He added, "If it is a shame to be theon Mount Everest, then I will have to live with3Which sentence would best conclude paragraph 3?Some people claimed to have climbed Everest beforenot documented.B. Clearly, standing on Everest is a dream for people fromC. However, New Zealand can proudly claim Hillary, the firD. But, a lot of people claim that K2 is a much more difficultEverest is taller. Which sentence would best conclude paragraph 3 can anyone help with this triangle question consider a 10 m length of 2 cm-i.d tube. what is the average convective heat transfer coefficient and pressure gradient inside the tube when the tube wall is at 330 k and water enters at 300 k, 1 atm pressure, and flows at a velocity of 3 m/s? Periodic inventory by three methodsThe units of an item available for sale during the year were as follows:Jan. 1 Inventory 2,500 units at $5Feb. 17 Purchase 2,900 units at $6Jul. 21 Purchase 3,400 units at $7Nov. 23 Purchase 1,200 units at $8There are 1,700 units of the item in the physical inventory at December 31. The periodic inventory system is used. This information has been collected in the Microsoft Excel Online file. Open the spreadsheet, perform the required analysis, and input your answers in the questions belowa. Determine the inventory cost by the first-in, first-out method. Round your answer to the nearest dollar.b. Determine the inventory cost by the last-in, first-out method. Round your answer to the nearest dollar.c. Determine the inventory cost by the weighted average cost method. Round your answer to the nearest dollar. In the giver, emotions are important because if you take emotions away, you will not experience love or empathy for anyone how does dickens use scrooge to teach the reader about education? The movement of water and sediments toward the shore is called ______ current and transport, whereas the resulting movement of water and sediments parallel to the shore is called ______ current and transport. a 3 3-inch candle burns down in 12 hours. if b represents how much of the candle, in inches, has burned away at any time given in hours, t, write a proportional equation for b in terms of t that matches the context. As per the Enzyme commission classification, the phosphotases belong to which of the following Class? a. 5 b.3 c.2 d. 1 a population numbers 20,000 organisms initially and grows by 17.1% each yearSuppose PP represents population, and tt the number of years of growth. An exponential model for the population can be written in the form P=abt whereP = Suppose that the cost C, in dollars, of processing the exhaust gases at an industrial site to ensure that only p percent of the particulate pollution escapes is given by the equation shown below. C(p) = 7000(100 p) p (a) Find the rate of change of cost C with respect to the percent of particulate pollution that escapes when p = 5 (percent). (b) Write a sentence that explains the meaning of your answer in part (a).the cost would increase by the absolute value of this amount if 6% instead of 5% of the particulate pollution were allowed to escape.The cost would decrease by this amount if 4% instead of 5% of the particulate pollution were allowed to escape.The cost would decrease by the absolute value of this amount if 6% instead of 5% of the particulate pollution were allowed to escape.The cost would increase by this amount for each percent of the particulate pollution over 5% allowed to escape. A system of equations is shown below.y=4xy=x-6 what is the x-value in the solution to the system? Which of these should not be included in a summary of this article?A.Experts suspect that listening to loud music on earbuds is causing the rise in hearing loss.B.A study found that 19.5 percent of teens tested between 2005 and 2006 had hearing loss.C.Some of Matthew Brady's favorites groups are Daughtry, Bon Jovi, and U2.D.The percentage of teens with hearing loss has increased since about 1990. BOSTON, Massachusetts. A recent study revealed that one in fiveMost of the hearing loss in the teens was "slight." Researchers defined "slight" as an inability to hear at 16 to 24 decibels. A teen with slight hearing loss might not be able to hear sounds such as leaves rustling or someone whispering. Dr. Gary Curhan was the study's senior author.According to Curhan, people with slight hearing loss can hear vowel sounds clearly. However, they might miss sounds from some consonants, such as t, k, and s. Experts warn that this minor loss of hearing is sufficient to cause problems in school. It also sets the stage for hearing aids later in life."Although speech will be detectable, it might not be fully intelligible," Curhan said. Researchers lack final evidence that listening to iPods and other music devices is to blame for hearing loss in teens. However, researchers did note a significant increase in high-frequency hearing loss.This particular type of hearing loss, researchers said, indicates that noise may be to blame. Researchers cited a 2010 Australian study. The study linked the use of personal listening devices with a 70 percent increased risk of hearing loss in young people"I think the evidence is out there that prolonged exposure to loud noise is likely to be harmful to hearing, but that doesn't mean kids can't listen to MP3 players," Curhan said. "Our hope is we can encourage people to be careful."Loud music isn't anything new, of course. Each recent generation of teens has found a new technology to blast music. Teens listened to bulky headphones in the 1960s and used the handheld Sony Walkmans in the 1980s. Today's teens, however, spend more time than ever listening to music. In fact, according to audiologist Brian Fligor, young people spend more than twice as much time listening to music than previous generationOne of Fligor's patients is 17-year-old Matthew Brady of Foxborough, Massachusetts. Matthew has a mild hearing loss. He has trouble hearing his friends in the school cafeteria. He has admitted to occasionally faking comprehension. Matthew used to listen to an iPod turned up too loud and for too long. Fligor believes this caused Matthew's muffled hearing.Matthew used to crank up the volume on his favoritesDaughtry, Bon Jovi, and U2while walking on a treadmill. He did this at least four days a week for 30-minute stretches at a time. One day last summer, he got off the treadmill and couldn't hear anything with his left ear. His hearing gradually returned, but it was never the same.Matthew's fondness for listening to loud music in not uncommon. During a study of college students, Fligor found that more than half of those tested listened to music at 85 decibels or louder. That's about as loud as a hair dryer or a vacuum cleaner. According to Fligor, regular listening at those levels can turn microscopic hair cells in the inner ear into scar tissue. Fligor believes that some people, such as Matthew, may be more likely to experience damage than others.These days, Matthew still listens to his digital music player. But now he listens at lower volumes."Do not [blast] your iPod," Matthew cautions other teens. "It's only going to hurt your hearing. I learned this the hard way." The equation y = -4/7x - 5 has a slope of write any six causes to prove that our country Nepal is rich in natural resources but back in development. what does the pig head symbolize in lord of the flies