Children, students, and senior citizens being eligible for discounted movie tickets is an example of price discrimination. Is this an example of price discrimination? Explain the conditions necessary for price discrimination to occur and draw the graphs to describe this situation.

The probability of 12 women jurors being chosen is approximately 0.000342 or 0.0342%.

To calculate the probability of selecting 12 women jurors out of a pool of 26 men and 29 women, we need to consider the total number of possible combinations and the specific combination of interest.

The total number of ways to choose 12 individuals from a pool of 55 (26 men + 29 women) is given by the combination formula:

C(55, 12) = 55! / (12! * (55-12)!) = 22579284062370.

The number of ways to choose 12 women from a pool of 29 is given by the combination formula:

C(29, 12) = 29! / (12! * (29-12)!) = 7726160.

Therefore, the probability of selecting 12 women jurors is the ratio of the number of ways to choose 12 women to the total number of possible combinations:

P(12 women jurors) = C(29, 12) / C(55, 12) ≈ 7726160 / 22579284062370 ≈ 0.000342.

Hence, the probability of 12 women jurors being chosen is approximately 0.000342 or 0.0342%.

For more such questions on women jurors

https://brainly.com/question/24130276

#SPJ8

The number of boxes of lawn seed that will be needed will be 4.

From the information, an area is formed by a square, ABCB, and a semi circle. BD is the diameter of the semi circle.The radius of the semi circle is 4m. The area is going to be covered completely with lawn seed.

The area of the square is s²

= 4²

= 16 m²

The area of the semi-circle is (πr²)/2:

= (π*4²)/2

= 8π m²

The total area is 16 + 8π m²

The number of boxes of lawn seed needed is (16 + 8π)/25 = (8 + 4π)/25

≈ 3.44 boxes

≈ 4 boxes

Learn more about area on

https://brainly.com/question/25292087

#SPJ1

(a) The expected value of playing the game is 0.

(b) Heather can expect to break even in the long run.

To find the expected value of playing the game, we need to calculate the weighted average of the possible outcomes.

Expected value calculation:

The probability of selecting each ball is the same since Heather replaces the ball in the bag each time.

The probability of selecting any particular number is 1/8.

Expected value = (Probability of outcome 1 × Value of outcome 1) + (Probability of outcome 2 × Value of outcome 2) + ... + (Probability of outcome 8 × Value of outcome 8)

Expected value = (1/8 × 1) + (1/8 × 2) + (1/8 × 5) + (1/8 × 6) + (1/8 × 8) + (1/8 × 10) + (1/8 × (-13)) + (1/8 × (-13))

Expected value = (1/8) + (2/8) + (5/8) + (6/8) + (8/8) + (10/8) + (-13/8) + (-13/8)

Expected value = 26/8 - 26/8

Expected value = 0

Since the expected value of playing the game is 0 On average, she neither gains nor loses money over multiple plays of the game.

For similar questions on game

https://brainly.com/question/849192

#SPJ11

The probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213 is approximately 0.9702.

To find the probability that a single randomly selected value is between 189.7 and 213, we can use the standard normal distribution.

Step 1: Calculate the z-scores for the given values using the formula:

  z = (x - μ) / σ

  For 189.7:

  z1 = (189.7 - 189.7) / 96.7 = 0

  For 213:

  z2 = (213 - 189.7) / 96.7 ≈ 0.2417

Step 2: Utilize a standard typical conveyance table or number cruncher to find the probabilities comparing to the z-scores.

  P(189.7 < X < 213) = P(0 < Z < 0.2417) ≈ 0.0939

Therefore, the probability that a single randomly selected value is between 189.7 and 213 is approximately 0.0939.

To find the probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213, we use the central limit theorem. Under specific circumstances, the testing dispersion of the example mean methodologies a typical conveyance

Step 1: Calculate the standard error of the mean (σ_m) using the formula:

  σ_m = σ / sqrt(n)

  σ_m = 96.7 / sqrt(62) ≈ 12.2878

Step 2: Convert the given qualities to z-scores utilizing the equation:

  z = (x - μ) / σ_m

  For 189.7:

  z1 = (189.7 - 189.7) / 12.2878 = 0

  For 213:

  z2 = (213 - 189.7) / 12.2878 ≈ 1.8967

Step 3: Utilize a standard typical conveyance table or mini-computer to find the probabilities relating to the z-scores.

  P(189.7 < M < 213) = P(0 < Z < 1.8967) ≈ 0.9702

Therefore, the probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213 is approximately 0.9702.

For more such questions on probability, click on:

https://brainly.com/question/7965468

#SPJ8

Each friend drank a total of 3 beverages during their visit to the beach.

To find the number of beverages each friend drank, let's assume the number of drinks they brought and consumed this year is represented by 'x'.

From the given information, we can set up the following equations:

Last year:

5x + 2 = Total number of drinks (equation 1)

This year:

3x + 8 = Total number of drinks (equation 2)

Since the total number of drinks should be the same in both years, we can set equation 1 equal to equation 2:

5x + 2 = 3x + 8

Now, let's solve this equation to find the value of 'x':

5x - 3x = 8 - 2

2x = 6

x = 3

So, each friend drank 3 canned drinks both last year and this year.

Therefore, each friend drank 3 beverages.

More on numerical calculations can be found here: https://brainly.com/question/32130540

#SPJ9

Question One:A positive z-score indicates that the raw score is above the mean, while a negative z-score indicates that the raw score is below the mean.

Question Two: , the raw score is relatively lower than the mean.

If a raw score corresponds to a z-score of 1.75, it tells us that the raw score is 1.75 standard deviations above the mean of the distribution. In other words, the raw score is relatively higher than the mean. The z-score provides a standardized measure of how many standard deviations a particular value is from the mean.

A positive z-score indicates that the raw score is above the mean, while a negative z-score indicates that the raw score is below the mean.

Question Two:

If a raw score corresponds to a z-score of -0.85, it tells us that the raw score is 0.85 standard deviations below the mean of the distribution. In other words, the raw score is relatively lower than the mean. The negative sign indicates that the raw score is below the mean.

To understand the meaning of a z-score, it is helpful to consider the concept of standard deviation. The standard deviation measures the average amount of variability or spread in a distribution. A z-score allows us to compare individual data points to the mean in terms of standard deviations.

In the case of a z-score of -0.85, we can conclude that the raw score is located below the mean and is relatively lower compared to the rest of the distribution. The negative z-score indicates that the raw score is below the mean and is within the lower portion of the distribution. This suggests that the raw score is relatively smaller or less than the average value in the distribution.

By using z-scores, we can standardize and compare values across different distributions, allowing us to understand the position of a raw score relative to the mean and the overall distribution.

For mor such question mean visit

https://brainly.com/question/1136789

#SPJ8

Answer:

[tex]\{0.559,0.641\}[/tex]

Step-by-step explanation:

[tex]\displaystyle CI_{95\%}=\frac{336}{560}\pm1.96\sqrt{\frac{\frac{336}{560}(1-\frac{336}{560})}{560}}\approx\{0.559,0.641\}[/tex]

Answer:

(a)2030

Step-by-step explanation:

I'm assuming the 100 at the end of the question is a typo.
In 2040, the son's age can be written as [tex]\frac{x}{3}[/tex], where x equals the age of his father. In 2050, the son's age can be written as [tex]\frac{x-10}{2}[/tex] (as ten years is added between 2040 and 2050). When equated to each other--> [tex]\frac{x-10}{2}[/tex] = [tex]\frac{x}{3}[/tex], we can first simplify by multiplying both sides to reach the least common denomination 6, giving us 3(x-10)=2x --->3x-30=2x--->x=30 is the dad's age. The son's age in 2040, 30/3, is equal to 10 years, meaning he was born in the year 2030 (a).

Answer:

Try contacting the Help center located at the bottom part of the home page of this site. It is recoverable as long as no violation committed

Note that his is solved using the principle of Combination, and there are 771, 891, 120 different ways to form the groups for the first division soccer league tournament in Mexico.

Let 's compute the number of ways to form the groups using combinations.

First group - 5 teams

C(18, 5) = 18! / (5! * (18-5)!) = 8568

Second group - 5 teams

C(13, 5) = 13! / (5! * (13-5)!) = 1,287

Third group - 4 teams

C(8, 4) = 8! / (4! * (8-4)!) = 70

Fourth group - 4 teams

C(4, 4) = 4! / (4! * (4-4)!) = 1

Now, applying the product rule

Total ways =  8568 x 1,287 x 70 x 1 = 771891120

Therefore, there are 771, 891, 120  different ways to form the groups for the first division soccer league tournament in Mexico.

Learn more about Combination at:

https://brainly.com/question/28065038

#SPJ9

Translation

In how many ways is it possible to form the groups of the first division soccer league tournament? Let's remember that 18 teams participate in the first division of soccer in Mexico, and for the league tournament, two groups of five teams and two groups of 4 teams are formed. It is suggested that when solving it, the number of teams that have been considered for the first group be subtracted, then for the second group and so on for each group. Finally apply the product rule to find the different shapes.​

The length AC in the kite is 8.7 cm.

A kite is a quadrilateral that has two pairs of consecutive equal sides and

perpendicular diagonals. Therefore, let's find the length AC in the kite.

Hence, using Pythagoras's theorem, let's find CE.

Therefore,

7² - 4² = CE²

CE = √49 - 16

CE = √33

CE = √33

Let's find AE as follows:

5²- 4² = AE²

AE = √25 - 16

AE = √9

AE = 3 units

Therefore,

AC = √33 + 3

AC = 5.74456264654 + 3

AC = 8.74456264654

AC = 8.7 units

learn more on kite here: https://brainly.com/question/27975644

#SPJ9

Answer:

Step-by-step explanation:

To find the radius of the cylinder, we can use the formula for the volume of a cylinder:

Volume = π * radius^2 * height

Given:

Volume = 627.8 cm^3

Height = 19.5 cm

π (pi) = 3.14

Substituting the given values into the formula:

627.8 = 3.14 * radius^2 * 19.5

Simplifying the equation:

627.8 = 60.93 * radius^2

To solve for the radius, we can divide both sides of the equation by 60.93:

radius^2 = 627.8 / 60.93

radius^2 = 10.29

Taking the square root of both sides:

radius ≈ √10.29

Rounding to the nearest tenth:

radius ≈ 3.2

Therefore, the approximate radius of the cylinder is 3.2 cm.

Answer:

3.2

Step-by-step explanation:

The volume of a cylinder is:

Vol = pi•r^2•h

Fill in what is given.

627.8 = pi•r^2•19.5

use 3.14 for pi.

627.8 = 3.14•r^2•19.5

simplify.

627.8 = 61.23r^2

divide by 61.23

10.253 = r^2

sqrt both sides

sqrt10.253 = r

3.2 = r

Hello!

4/7 = 44/77

6/11 = 42/77

42/77 < 43/77 < 44/77

the rationnal number between 4/7 and 6/11​ is 43/77

Answer:

To convert 7.55 dollars into dimes and quarters, we need to make use of the fact that there are 10 dimes in a dollar and 4 quarters in a dollar. Here's how to do it:

Step-by-step explanation:

1. First, convert the dollar amount into cents: 7.55 dollars x 100 cents/dollar = 755 cents.

2. Next, use long division to find how many quarters are in 755 cents: 755 ÷ 25 = 30 with a remainder of 5.

3. The quotient of 30 tells us that we can use 30 quarters, which equals $7.50.

4. The remainder of 5 cents is less than a quarter, so we cannot use another quarter. Instead, we can use 1 dime, which is worth 10 cents.

Therefore, 7.55 dollars is equivalent to 30 quarters and 1 dime.

Hello!

men = 10/26 = 5/13

women = 2/29

P = 5/13 x 2/29 = 10/377

In the given expression, 2x³-4x²+2x-x-3, there are five terms. An expression is a mathematical phrase that can be constructed using variables, constants, and operators.

It can include any mathematical operations such as addition, subtraction, multiplication, and division. Additionally, an expression can be made up of one or more terms.In the given expression, 2x³-4x²+2x-x-3, there are five terms. The terms are:2x³: This is the first term in the expression.

It is a cubic term, which means it has an exponent of 3.4x²: This is the second term in the expression. It is a quadratic term, which means it has an exponent of 2.2x: This is the third term in the expression. It is a linear term, which means it has an exponent of 1.-x:

This is the fourth term in the expression. It is also a linear term, but it has a negative coefficient.-3: This is the fifth term in the expression. It is a constant term since it does not have any variable attached to it.In summary, the given expression has five terms, which are 2x³, -4x², 2x, -x, and -3.

For more question on expression

https://brainly.com/question/723406

#SPJ8

Answer:

17.5

Step-by-step explanation:

You can find the mean of a data set by adding all numbers in the data set together and dividing by the amount of numbers in the given data set.

In this case, your data set is:

15 , 16 , 17 , 23 , 11 , 19 , 20 , 15 , 18 , 22 , 15 , 19   (12 numbers).

Firstly, add all the numbers together: [tex]15 + 16 + 17 + 23 + 11 + 19 + 20 + 15 + 18 + 22 + 15 + 19 = 210[/tex]

Next, divide 210 (total sum) with the amount of terms in total (12):

[tex]\frac{(210)}{(12)} = 17.5[/tex]

17.5 is already in the tenth digit place value, and so you do not need to round.

17.5 is your answer.

~

Learn more about solving for mean, here:

https://brainly.com/question/26811484

Step-by-step explanation:

Unclear what you are asking

here is one possibility

3^2  - 4^5

9    - 1024 = - 1015

Here is another possibility

(3^(2-4) )^5    =  = (3^(-2))^5 =   3 ^-10 =    1/59049      

Answer:

-84x^7

Step-by-step explanation:

The product of (4x)(-3x³)(-7x³) is -84x^8.

To calculate the product, we multiply the coefficients together and add the exponents of the variables:

4 * (-3) * (-7) = 84

x^1 * x^3 * x^3 = x^(1+3+3) = x^7

Combining the coefficient and the variable, we get -84x^7.

Answer:

Perimeter:[tex]4x+10[/tex] feet
Area:[tex]x^{2}+5x+6[/tex] feet

Step-by-step explanation:

The perimeter is equal to 2*width +2*length. The width is x+2 and the length is x+3, therefore the perimeter is equal to 2x+4+2x+6 which equals 4x+10.
The area is equal to width*length
(x+3)(x+2)=[tex]x^{2}+2x+3x+6=x^{2}+5x+6[/tex]

The angle opposite to side BC in triangle ABC is approximately 38.213 degrees.

We have,

To find the angle opposite to side BC in triangle ABC, we can use the Law of Cosines.

The Law of Cosines states that in a triangle with sides of lengths a, b, and c, and the angle opposite to side c being denoted as C, the following equation holds:

c² = a² + b² - 2ab x cos(C)

In this case,

Side a is BC with length 12, side b is AC with length 20, and side c is AB with length 11. We want to find the angle C, which is opposite to side BC.

Plugging the given values into the Law of Cosines equation:

11² = 12² + 20² - 2 x 12 x 20 x cos C

121 = 144 + 400 - 480 x cos C

121 = 544 - 480 x cos C

480 x cos C = 544 - 121

480 x cos C = 423

cos C = 423/480

Now, we can find the angle C by taking the inverse cosine (arccos) of (423/480):

C = arccos(423/480)

Using a calculator, we find that C is approximately 38.213 degrees.

Therefore,

The angle opposite to side BC in triangle ABC is approximately 38.213 degrees.

Learn more about the law of cosines here:

https://brainly.com/question/30766161

#SPJ1

The number of students who passed with I, II, and III divisions are 35, 70, and 49, respectively.

We have,

Let's denote the number of students who passed with I, II, and III divisions as x, y, and z, respectively.

Given that the total number of students who appeared in the examination is 210, and 56 students failed, we can calculate the number of students who passed:

Number of students who passed = Total students - Number of students who failed

= 210 - 56

= 154

According to the given ratio, the number of students who passed with I, II, and III divisions are in the ratio of 5:10:7.

We can express this ratio in terms of x, y, and z as:

x : y : z = 5 : 10 : 7

To find the actual number of students who passed with I, II, and III divisions, we can set up the following equation based on the ratio:

5k + 10k + 7k = 154

22k = 154

k = 154 / 22

k = 7

Now, we can find the number of students who passed with I, II, and III divisions:

Number of students who passed with I division = 5k = 5 x 7 = 35

Number of students who passed with II division = 10k = 10 x 7 = 70

Number of students who passed with III division = 7k = 7 x 7 = 49

Therefore,

The number of students who passed with I, II, and III divisions are 35, 70, and 49, respectively.

Learn more about ratios here:

https://brainly.com/question/2462048

#SPJ1

The expression that we need to solve is 4*45 + 2*123 , and that is equal to 426.

Here we want to calculate the quadruple of the decimal part by adding twice the integer part of the following decimal number: 123.45​

The decimal part of this number is 45

The integer part of this number is 123.

Then the expression that we need to solve is:

4*45 + 2*123 = 426

That is the value of the mathematical sentence.

Learn more about solving expressions at:

https://brainly.com/question/4344214

#SPJ1

AnswerTherefore, Jennifer traveled for 2 hours.

Step-by-step explanation:

Let x be the time Jennifer traveled.

Kristin traveled for 2 hours at 33 km/h, so she had traveled 66 km when Jennifer started traveling.

After x hours, Jennifer had traveled 45x km.

The total distance between them was 156 km.

So, we have:

66 km + 45x km = 156 km

Simplifying the equation, we get:

45x km = 90 km

x = 2 hours

Therefore, Jennifer traveled for 2 hours.

Answer:

The inequality |x – 4| > –3 represents an absolute value inequality.

The absolute value of any real number is always non-negative, meaning it is greater than or equal to zero. Therefore, the left side of the inequality, |x – 4|, will always be greater than or equal to zero.

Since the right side of the inequality, -3, is also greater than or equal to zero, this means that the inequality |x – 4| > –3 holds true for all real numbers x. In other words, there are no restrictions on the value of x.

The solution set for this inequality is the set of all real numbers, often represented as (-∞, +∞).

Answer:

(−∞,∞)

Step-by-step explanation:

|x – 4| > – 3

Since |x – 4| is always positive and - 3 is negative, |x – 4| is always greater than - 3, so the inequality is always true for any value of x.

All real numbers

The result can be shown in multiple forms.

All real numbers

So, the answer is (−∞,∞)

Let x, xr , xr² be the terms of GP.

After the increase, the terms are : x+xr , xr+xr , xr²+xr

or in simplified manner : x(1+r), 2xr, xr (r+1) .

For these terms to be in Harmonic Progression, their reciprocals should be in Arithmetic Progression .

Thus,

Arithmetic mean of first and last terms should be equal to the middle term.

First term = 1/[x(1+r)] ; Middle term= 1/(2xr) ; Last term = 1/[xr(r+1)]

Assume,

A = Arithmetic mean of first and last term

A= [1/[x(1+r)]+[1/[xr(r+1)] /2

A= (1/2)[(r+1)/(xr(1+r))]

A= (1/2)(1/xr)

A= 1/(2xr)

A = Middle term

Thus, the reciprocals are in AP.

Hence x(1+r), 2xr, xr(r+1) in HP.

Learn more about Harmonic series ,

https://brainly.com/question/16778780

#SPJ1

Answer:

Here is an example of a dot plot (in text, did as best as I could to represent it) that matches the description you provided:

Number of Minutes Spent on Math Homework Problem

 |

10|    o

9| o

8|

7|       o

6|

5|          o

4|

3|             o

2|

1|                o

0|___________________

  1  2  3  4  5  6  7  8  9  10

  Students

This dot plot shows the number of minutes spent on a math homework problem by ten students. The mean amount of time is represented by the dot at the y-value of 9, and the MAD (Mean Absolute Deviation) is represented by the spread of the data around the mean.

The triangle ∆DEF is similar by the SSS similarly to the triangle ∆JKL

Similar triangles are two triangles that have the same shape, but not necessarily the same size. This means that corresponding angles of the two triangles are equal, and corresponding sides are in proportion.

To know if the triangles DEF and JKL are similar, we check if their sides corresponds in the same ratio, that is;

JK/DE = KL/EF = JL/DF

JK/DE = 9/12 = 3/4

KL/EF = 18/24 = 3/4

JL/DF = 12/16 = 3/4

Therefore, the triangle ∆DEF is similar by the SSS similarly to the triangle ∆JKL

Read more about similar triangles here:https://brainly.com/question/14285697

#SPJ1