The box and whisker plot summarizes the data collected on the number of Broadway tickets sold and the actual number of attendees at the plays. Which statement is TRUE about the statistics?
A.) The majority of the data values fall in the upper quartile for both sets of data.
B.) There were fewer tickets purchased than people attending the plays.
C.) The medians of the populations are the same.
D.) There were fewer attendees than purchased tickets.
The plot:

The line that passes through the point (2, 8) and has a slope of 3/2 is given by the equation y = (3/2)x + 10

(Y - Y1) = m(X - X1) is an equation for a line that passes through the point (x1, y1) and has a slope of m.

The line passing through points (2, 8) and having a slope of 3/2 is now a given.

Consequently, (x1,y1) equals (2, 8) and m = 3/2.

As a result, the line's equation is (y - y1) = m(x - x1).

When you combine (x1,y1) and m, you get (y - 8) = (3/2) (x - 2)

When we expand them, we obtain (y - 8) = (3/2) (x - 2)

y = (3/2)x + 5

Consequently, the equation y = (3/2)x + 5 describes the line that passes through the points (2, 8) and has a slope of 3/2.

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The equation for the number of people sponsoring each person are; m = c + 3, p = c + 2.

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that Kevin, Mika, and Cheryl have a total of 45 people sponsoring them for a fun-raiser.

Consider that Kevin has p people sponsoring him, Mika has one more than Kevin, and Cheryl has one more than Mika.

Kevin = p

MIka = m

Cheryl = c

Then m = 1 + p

c = 1 + m

Or

m = c - 1

Now solve both equation;

m = 1 + p = c - 1

p = c - 1 -1

p = c + 2

p = m -1

p = c + 2

Then m - 1 = c + 2

m = c + 3

Hence, the equation for the number of people sponsoring each person are; m = c + 3, p = c + 2.

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Step-by-step explanation:

Consider the Cartesian equation,

2

x+3

=

4

y−5

=

2

z+6

Now,

a

=−3

i

+5

j

−6

k

b

=2

i

+4

j

+2

k

Vector equation,

r

=

a

+λ.

b

=−3

i

+5

j

−6

k

+λ(2

i

+4

j

+2

k

)

This is the required equation

To answer this question, it is a good practice to order the data in ascending order as follows:

We need to check for the total number of data. In this case, we have 30 observations.

To find the mean, we need to find the sum of all the observations and then divide this result by the total of observations (30). Then, we have:

Then, the value for the mean is:

The range is the result of subtracting the greatest number and the lowest number in the data:

The mode is the observation that is repeated the most (appears the most).

We can see that we have two values that appear six times in the list: 11 and 15.

Therefore, we can see that there is not a unique element, so there is no mode.

In summary, we have:

• Mean = 12.73333...

• Range = 8

• Mode = None.

so the domain is

Step-by-step explanation:

i don't know if this is right

Answer:

Step-by-step explanation:

If theta is in the third quadrant, draw the diagram to easily identify the other trigonometric relations:

Solve for the missing leg of the triangle, using the Pythagorean theorem:

Therefore, for the trigonometric relationships:

Now, substitute and solve for the relations:

The factorial expression 26! has a value of 4.032914600e+26

The expression is given as

26!

The above expression is a factorial expression

And the factorial of a number n where n >= 0 and n is not a decimal number is calculated using

n! = n x (n - 1) x (n - 2) x ..... x 1

This means that

n = 26

So, we have

26! = 26 x 25 x 24 x  23 x ..... x 1

Evaluate the products

26! = 4.0329146e+26

Approximate

26! = 4.032914600e+26

Hence, the value of the expression is 4.032914600e+26

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The equation that can be used to determine the total cost, y, in dollars for Albert to play any number of games, x, is Y = 18x/2 or 9x.

An equation is a mathematical statement expressing the equality that two values or expressions share.

Equations are generally represented using the equation sign (=).

The cost of 2 games of laser tag = $18

The cost of 1 game of laser tag = $9 ($18/2)

The cost of x laser tag games = $9x or 18x/2

Thus, we can represent the equation of the total cost as y = 9x.

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Answer:

13x + 7x = 180 (corresponding angles, sum of adjacent angles on a straight line=180)

20x = 180

x = 9

Substitute x into angle measures to find values.

13x° = 13(9)

= 117°

7x° = 7(9)

= 63°

Answer:

70

Step-by-step explanation:

14 x 10 is 140.

Since a triangle is just half a square, we multiply the two sides we have and then divide it.

140 ÷ 10 = 70.

Answer = 70.

P.S If it is correct, pls give Brainliest, thanks!

8x - 34 and 5x + 2 are corresponding angles and, by the Corresponding Angles Theorem, are congruent.

8x - 34 = 5x + 2
8x - 34 + 34 = 5x = 2 + 34
8x = 5x + 36
8x - 5x = 5x + 36 - 5x
3x = 36
3x/3 = 36/3
x = 12

==========================================================

Explanation:

Draw a vertical number line. Plot point R at -18 which is 18 units below 0.

Then move up 6 units to arrive at -12 which is one potential location of point S. The distance from R = -18 to R = -12 is RS = 6 units.

Now go back to point R = -18. This time move down 6 units to arrive at -24 as the other possible location of S.

See the diagram below.

The quadrilateral's image points will be A(3, 3) A'(-3, 3) R(5, 7) R'(-7, 5) M(7, 5) M'(-5, 7) Y(5, 1) Y' (-1, 5).

What do math quadrilaterals mean?

If a point (x, y) is rotated 90 degrees counterclockwise with respect to the origin, the rotational rule is:

(x, y) → (-y, x) (-y, x)

Consequently, the image point's coordinates following rotation will be (-y, x).

According to this rule, the quadrilateral's image points will be A(3, 3) A'(-3, 3) R(5, 7) R'(-7, 5) M(7, 5) M'(-5, 7) Y(5, 1) Y' (-1, 5)

We may obtain the graph of the picture quadrilateral A'R'M'Y' by graphing the image points.

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It will take 80 seconds for both tank 1 and tank 2 to have the same amount of water

Water in the tank 1 = 120 gallons

Drainage rate of tank 1 = 1/2 gallon each second

Water in tank 2 = 100 gallons

Drainage rate of tank 2 = 1/4 gallon each second

Let x represent the number of seconds it will take for both tanks to have the same amount of water

Formulating the equation we get the following:

Water in tank 1 - Drainage rate of tank 1*x = Water in tank 2 - Drainage rate of tank 2*x

120 - 1/2x = 100 - 1/4x

20 = 1/2x - 1/4x

20 = 1/4x

x = 80

So, it will take 80 seconds

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Answer:

It is a rate of change that is not the same at all points - in time or space.

Step-by-step explanation:

Acceleration is the rate of change of velocity.

Acceleration = change in velocity/change in time

Acceleration = (50 - 0)/(25 - 0)

Acceleration = 2 km/min South

The value of C is 7.68 units and the value of angle A and B is 23° and 66° respectively.

As we can see,

This is a right angled triangle.

We can use Pythagoras theorem to find the value of third side,

It says, Square of hypotenuse side H is equal to square of Base side B plus square of Perpendicular side.

H² = P² + B².

The value of perpendicular here is 3.

The value of base here is 7.

Putting the values,

H² = (7)²+(3)²

H² = 49 + 9

H² = 58

H = √58

H = 7.68

Now, using trigonometric ratios,

For angle B,

Sin(B) = Perpendicular/Hypotenuse = P/H

Sin(B) = 7/7.68

Sin(B) = 0.91

Sin(66°) = 0.91

The value of B in degree is 66°.

For angle A,

Sin(A) = Perpendicular/Hypotenuse = P/H

Sin(A) = 3/7.68

Sin(A) = 0.39

Sin(23°) = 0.39

The value of A in degree is 23°.

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Cartesian coordinates are- 4.2426

The horizontal component of the Cartesian coordinate system is denoted by the letter x, whereas the vertical component is denoted by the letter y. In this coordinate system, equations for lines will need to include both the x and y variables.

Given

(r,θ) = (6,π/4)

x= r cosθ =6 x cos(π/4)
= 6√2 = 3√2

≈  4.2426

y= r sinθ = 6 x sin(π/4)

= 6√2 = 3√2

≈ 4.2426

Hence the answer is 4.2426

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For 18000 units the calculated sum is $150,000.

The following are the company's production and period costs:

The product costs $ 350,000 for 20,000 units.

20,000 units = $150,000 in cost period

The product costs $ 385,000 for 22,000 units.

18,000 units each period = $ 135,000

The corporation incurs two major costs while creating an item: production costs and period costs.

Production costs are expenses directly connected to the manufacturing process. These expenses include labor, raw materials, and overhead.

While period costs are expenses incurred for the company's activities such as administrative and selling/sales charges,1. The cost of making 20,000 units is

Existing unit manufacturing costs are as follows:

Direct labor costs $7.00. Manufacturing variable overhead of $4.00 Fixed manufacturing overhead of $1.50 $ 5.00

Total product cost per unit = $7.00 + $4.00 + $1.50 + 5.00 = $17.5

So, for 20,000 units, the calculation is: 20,000 x $17.5 = $350,000

The time required to produce 20,000 units is

Each unit's cost period is as follows:

$ 3.50 in fixed selling expenses, $ 2.50 in fixed administration expenses, and $ 1.00 in variable administrative expenses.

Total period cost per unit = $ 3.5+ $ 2.5+ $ 1.00+ $ 0.5 = $ 7.5

So, for 20,000 units, the calculation is: 20,000 x $ 7.5 = $150,000

The cost of making 22,000 units is

Existing manufacturing costs per unit: $ 17.5

So, for 20,000 pieces, the cost is 22,000 x $17.5 = $ 385,000

The total period cost / unit for generating 18,000 units is $ 7.5.

So, for 18,000 units, the calculation is: 18,000 x $ 7.5 = $ 135,000

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We have an exponential function for the population A(t) and we have to find the growth rate.

This can be expressed as:

For the exponential formula we get:

The growth rate is 0.003 or 0.3%.

We can calculate the time needed to double the population dividing ln(2) by the growth rate:

Answer:

a) The growth rate is 0.003 or 0.3%

b) The number of years to duplicate the population is 231 years.

Let's look at some logarithm properties,

We will use this properties to simplify and write the expression as a single logarithm.

The steps are shown below:

The expression, as a single logarithm, is,

From the answer choices, the correct answer is D.

Answer

D

The stock witness an total average decrease in stock of $80 in the 8 weeks

The given parameters are:

Average decrease per week = 10 dollars

Also, we have the number of weeks to be

Number of  Weeks = 8 weeks

So, the total average decrease in the stock is calculated using the following equation

Total = Average decrease per week x Number of weeks

Substitute the known values in the above equation

So, we have the following equation

Total = 10 x 8

Evaluate the products in the above equation

So, we have the following equation

Total = 80

Hence, the total average decrease in the stock is $80

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Every other multiple of 3 is even.

The answer is 7. Seven is a prime number, which means that its multiples are 1 and itself (7): 7 = 1 * 7

The digits in multiples of 3 add up to a multiple of 3 (36 = 3 + 6, 111 = 1 + 1 + 1, etc.) All EVEN multiples of 3 are also a multiple of 6 (the even multiples of 3 are the 6 “count by's”).

The answer is 7. Seven is a prime number, which means that its multiples are 1 and itself (7): 7 = 1 * 7. To find out which one is a factor of 7, we should divide each of them by 7. 1/7 will be a decimal number and 7/7 = 1, which is a whole number. Thus, 7 will be a multiple of 7 and also a factor of 7.

A whole number higher than 1 whose only elements are 1 and itself is referred to as a prime number. A whole number that may be split evenly into another number is referred to as a factor. 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29 are the first few prime numbers. Composite numbers are those that have more than two components.

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4x -2 = 3(x-3)

4x - 2 = 3x - 9

bring like terms together

4x-3x = -9 +2

x = -7

The given triangle is a right angled triangle. Therefore, by Pythagoras theoram,

From the figure,

Hence, Option D is the right answer.

The solution to the system of equations in problem 13 is (0, -4).

The solution to the system of equations in problem 14 is (-6, -1).

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Answer: 4p^3(7p^2q^3+6

Step-by-step explanation: Im pretty sure.