A- the rate of change of function A is 2 the rate of change function B is 2

B-the rate of change of function A is
5 the rate of change function B is 4

C-the rate of change of function A is 5 the rate of change function B is 2

D-the rate of change of function A is 2 the rate of change function B is 4

1.39 is the median of the distribution

Creating a table:

X :___0 __ 1 __ 2 ___ 3 ____ 4 ___ 5 ___ 6

P(x):0.02_0.03_0.07, 0.12, 0.30_ 0.28_0.18.

The standard deviation = √(Var(x))

Var(x) = Σx²*p(x) - E(x)²

E(x) = ΣX*p(x)

E(x) = (0*0.02) + (1*0.03) + (2*0.07) + (3*0.12) + (4*0.30) + (5*0.28) + (6*0.18) = 4.21

Var(X) :

\(((0^2*0.02) + (1^2*0.03) + (2^2*0.07) + (3^2*0.12) + (4^2*0.30) + (5^2*0.28) + (6^2*0.18)) - 4.21^2\)

19.67 - 17.7241

= 1.9459

Standard deviation = √(Var(X))

Standard deviation = √(1.9459)

Standard deviation = 1.3949551

= 1.39

Learn more about standard deviation,

https://brainly.com/question/23907081

#SPJ4

Full Question ;

Hannah has a chicken coop with 6 hens. Let X be the total number of eggs the hens lay on a randomly chosen day. The distribution for X is given in the table.

A 2-column table with 7 rows. Column 1 is labeled number of eggs with entries 0, 1, 2, 3, 4, 5, 6. Column 2 is labeled probability with entries 0.02, 0.03, 0.07, 0.12, 0.30, 0.28, 0.18.

What is the standard deviation of the distribution?

1.39

1.95

2.16

4.67

Always check the quantity in each package to determine the appropriate number of hotdog bun packages needed for the given number of hotdog packages.
The dependent variable in this situation is the number of packages of hotdog buns needed, as it relies on the number of packages of hotdogs (the independent variable).

We want to know the dependent variable when considering the number of packages of hotdog buns needed for a certain number of packages of hotdogs.

Let me explain this relationship:
First, let's define the terms involved.

The dependent variable is the variable that depends on another variable (called the independent variable).

In this case, we are examining the relationship between the number of packages of hotdogs and the number of packages of hotdog buns needed.
The independent variable is the number of packages of hotdogs.

This is because the number of hotdog buns needed depends on the number of hotdogs you have.
The dependent variable, in this case, is the number of packages of hotdog buns needed.

This variable depends on the number of packages of hotdogs, as you need a certain amount of buns to accommodate the hotdogs.

To determine the relationship between these two variables, we would likely use a proportion or a ratio.

For example, if one package of hotdogs contains 10 hotdogs and one package of hotdog buns contains 10 buns, then the ratio is 1:1, meaning you need one package of hotdog buns for every package of hotdogs.
This relationship may vary depending on the number of hotdogs and buns in each package.

Remember to examine the proportion between the two variables to ensure you have the correct amount of buns for the hotdogs.

For similar question on proportion.

https://brainly.com/question/14869217

#SPJ11

Answer:

follow the respected colored points and create lines for each of the equations.

The points awarded to players in a certain video game are proportional to the amount of time played. For every four minutes of gameplay, players receive 1/2 point.

Additionally, for every 12 minutes of gameplay, players receive 1 1/2 points.
To calculate the number of points awarded, we can break down the gameplay time into intervals of 4 minutes and 12 minutes.

Let's consider an example:
If a player plays the game for 16 minutes, we can divide this into two intervals: 4 minutes and 12 minutes.
For the first 4 minutes, the player would receive 1/2 point.
For the next 12 minutes, the player would receive 1 1/2 points.
In total, the player would receive 2 points (1/2 point + 1 1/2 points).
This calculation can be applied to any given time interval.
The points awarded to players in this video game are calculated based on the amount of time played.

For every 4 minutes of gameplay, players receive 1/2 point, and for every 12 minutes, players receive 1 1/2 points.

To determine the total points earned, divide the gameplay time into intervals of 4 minutes and 12 minutes, and calculate the corresponding points for each interval.

Summing up all the points from the intervals will give the total points awarded.
In this video game, the number of points awarded to players is directly proportional to the amount of time played.

The game has specific rules for awarding points based on different time intervals.

For every 4 minutes of gameplay, players receive 1/2 point. This means that if a player plays the game for exactly 4 minutes, they would receive 1/2 point.

If they play for 8 minutes, they would receive 1 point (2 intervals of 4 minutes, each awarding 1/2 point). Similarly, for every 12 minutes of gameplay, players receive 1 1/2 points.

So if a player plays for exactly 12 minutes, they would receive 1 1/2 points. If they play for 24 minutes, they would receive 3 points (2 intervals of 12 minutes, each awarding 1 1/2 points).

To calculate the total points earned, we need to divide the total gameplay time into intervals of 4 minutes and 12 minutes and calculate the corresponding points for each interval.

Finally, we sum up all the points from these intervals to get the total points awarded to the player.
In the given video game, the points awarded to players are directly proportional to the time played. For every 4 minutes, players receive 1/2 point, and for every 12 minutes, players receive 1 1/2 points. By dividing the gameplay time into intervals of 4 minutes and 12 minutes, we can calculate the corresponding points for each interval and sum them up to determine the total points earned.

To know more about video game visit:

brainly.com/question/29101285

#SPJ11

Answer: A

Step-by-step explanation: Because 32=23=12321=33+23123

Answer:

Therefore, the value of "a" could be 23 or -7 in order for the two points (-5,8) and (3,a) to be 17 units apart.

Step-by-step explanation:

To find the value of "a" such that the two points (-5,8) and (3,a) are 17 units apart, we can use the distance formula to calculate the distance between the two points.

The distance formula is:

distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the values for x1, y1, x2, and y2, we get:

distance = sqrt((3 - (-5))^2 + (a - 8)^2)

Simplifying the expression, we get:

distance = sqrt((8)^2 + (a - 8)^2)

distance = sqrt(64 + (a - 8)^2)

Since the distance between the two points is 17 units, we can set the expression equal to 17 and solve for "a":

sqrt(64 + (a - 8)^2) = 17

64 + (a - 8)^2 = 289

(a - 8)^2 = 225

a - 8 = 15 or a - 8 = -15

a = 23 or a = -7

Answer: 23 or -7

Step-by-step explanation:

The distance formula is:

distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the values for x1, y1, x2, and y2, we get:

distance = sqrt((3 - (-5))^2 + (a - 8)^2)

Simplifying the expression, we get:

distance = sqrt((8)^2 + (a - 8)^2)

distance = sqrt(64 + (a - 8)^2)

Since the distance between the two points is 17 units, we can set the expression equal to 17 and solve for "a":

sqrt(64 + (a - 8)^2) = 17

64 + (a - 8)^2 = 289

(a - 8)^2 = 225

a - 8 = 15 or a - 8 = -15

a = 23 or a = -7

One possible solution that could be used to address the problems caused by the Electoral College is "electoral reform."

Popular Vote: One approach is to replace the Electoral College with a system where the President is directly elected by a popular vote. This would eliminate the possibility of a candidate winning the presidency while losing the popular vote, as has happened in some elections.

Proportional Representation: Another option is to implement a proportional representation system, where the allocation of electors is based on the percentage of votes a candidate or party receives in each state. This would ensure a more proportional representation of voters' preferences and reduce the influence of winner-takes-all mechanisms.

National Popular Vote Interstate Compact: This reform proposal aims to work within the existing Electoral College framework. States that join the compact agree to allocate their electoral votes to the winner of the national popular vote, effectively ensuring that the candidate who receives the most votes nationwide becomes the President.

To know more about Electoral College,

https://brainly.com/question/30494216

#SPJ11

Answer:

$15

Step-by-step explanation:

The price that would minimize the store's revenue is $30 + $35 = $65 (a price increase of $35). The maximum revenue is $170,625.

To find the price that would minimize the store's revenue, we need to determine the price at which the wig sales would be maximized.

Let's assume the price increase in dollars is represented by "x" (where x > 0).

The number of wigs sold can be calculated using the given information: for each $1 increase in price, 75 fewer wigs are sold.

So, the number of wigs sold at the price of $30 + x would be 3000 - 75x.

The revenue is calculated by multiplying the price per wig by the number of wigs sold. Therefore, the revenue function (R) can be expressed as:

R = (30 + x)(3000 - 75x)

To find the price that would minimize the store's revenue, we need to find the value of x that minimizes the revenue function. We can do this by finding the critical points of the revenue function.

To find the critical points, we differentiate the revenue function with respect to x and set it equal to zero:

dR/dx = 0

Differentiating R = (30 + x)(3000 - 75x) with respect to x:

dR/dx = (3000 - 75x) + (30 + x)(-75) = 0

Expanding and simplifying:

3000 - 75x - 2250 - 75x = 0

Combine like terms:

-150x - 5250 = 0

Solving for x:

-150x = 5250

x = 5250 / (-150)

x = -35

Since x represents the price increase, a negative value of x would correspond to a price decrease. So, the price that would minimize the store's revenue is $30 - $35 = -$5 (a price decrease of $5).

However, a negative price is not practical in this context. So, we should consider the price increase instead.

Therefore, the price that would minimize the store's revenue is $30 + $35 = $65 (a price increase of $35).

To find the maximum revenue, we can substitute this price ($65) back into the revenue function:

R = (30 + 35)(3000 - 75 * 35)

Simplifying:

R = 65 * 2625

R = $170,625

Therefore, the maximum revenue is $170,625.

To know more about revenue:

https://brainly.com/question/33361969

#SPJ2

Answer:

$15.90

Step-by-step explanation:

6% → 0.06

15* 0.06 = 0.9

15+0.9= $15.90

Answer:

∠ABD = 48

Step-by-step explanation:

use symbolab

(x+15)=(4x-12)

x+15-15=4x-12-15

x=4x-27

x-4x=4x-27-4x

-3x=-27

divide both sides by 3 and you get x=9

then put 9 in to replace x

((9) + 15) + (4 (9) - 12)

=24 + (4 (9) - 12)

= 24 + 24

=48

ur welcome

The area A(x) of a square tile is given by the formula A(x) = x^2, where x represents the length of a side of the square.

This function rule tells us that the area of a square tile is equal to the square of its side length.
To find A(8), we simply substitute x = 8 into the function rule. A(8) = 8^2 = 64. This means that the area of a square tile with a side length of 8 units is 64 square units. In interpretation, A(8) means that if we have a square tile with a side length of 8 units, its area would be 64 square units.

This information could be useful, for example, if we need to calculate the number of tiles needed to cover a given area. We can simply divide the total area by the area of one tile (in this case, 64) to get the number of tiles needed.

To know more about area visit:-

https://brainly.com/question/1631786

#SPJ11

We will solve as follows:

We have the triangles:

*

We can determine its medians by calculating the mid-points of each side, and then plot t

The set of elements of the given relation

R = {(a, b) | a ∈ A, b ∈ B, a is divisible by 4 and b = 2a} is

R = { (4 , 8) , (8 , 16)}

Given, A is the set of positive integers less than 10

and B is the set of positive integers less than or equal to 20,

and R is a relation from A to B defined as follows:

R = {(a, b) | a ∈ A, b ∈ B, a is divisible by 4 and b = 2a}.

we have to find the ordered pairs which belong to the given relation,

As, 'a' should be divisible by 4 and we should also get 'b' by multiplying 'a' by 2.

So, the set of elements of the relation R is,

R = { (4 , 8) , (8 , 16)}

Hence, the set of elements of the given relation

R = {(a, b) | a ∈ A, b ∈ B, a is divisible by 4 and b = 2a} is

R = { (4 , 8) , (8 , 16)}

Learn more about Relations and Functions here https://brainly.com/question/26573948

#SPJ4

Answer:

-0.53

Step-by-step explanation:

5/4 *x -1/9 = 6x

-1/9 = (6-5/4) x

x = -4.75/9

x=-0.53

The polygonal shape of the hexacontakaienneagon has 69 sides.

A polygon is a two-dimensional, closed form that is flat or planar and is limited by straight sides. Its sides are not curled. A polygon's edges are another name for its sides. The vertices (or corners) of a polygon are the places where two sides converge. Polygons include shapes like triangles, hexagons, pentagons, and quadrilaterals.

The hexacontakaienneagon shape's number of sides is indicated by the name. For instance, a triangle has three sides, whereas a quadrilateral has four. A two-dimensional closed figure with three or more straight sides is called a polygon. A polygon is any shape with straight edges, such as a triangle or rectangle. Figures with open sides or any curved sides are not considered to be polygons.

Learn more about shape visit: brainly.com/question/25965491

#SPJ4

Answer:

P = 49

Step-by-step explanation:

The square root of 49 = 7

Answer:

49

Step-by-step explanation:

√p = 7

it means that p = 7×7 = 49

because √ p it means = √ a x a = a

hope you understand!

if not, I'll explain it

a) To verify that F = (1 + x, 1 + x², 1 + 2x - 2x²) is a basis of F(2) [x], we need to check two conditions: linear independence and spanning the vector space F(2) [x].

Linear Independence:

To show linear independence, we'll set up a linear combination of the vectors in F equal to the zero vector and solve for the coefficients.

c₁(1 + x) + c₂(1 + x²) + c₃(1 + 2x - 2x²) = 0

Expanding and rearranging the terms, we get:

(c₁ + c₂ + c₃) + (c₁ + c₂)x² + (c₃ - 2c₃)x - 2c₃x² = 0

For this equation to hold for all x, each coefficient must be zero:

c₁ + c₂ + c₃ = 0     -- (1)

c₁ + c₂ = 0          -- (2)

c₃ - 2c₃ = 0         -- (3)

From equation (2), we have c₁ = -c₂.

Substituting c₁ = -c₂ into equation (1), we get:

-c₂ - c₂ + c₃ = 0

-2c₂ + c₃ = 0      -- (4)

From equation (3), we have c₃ = 2c₃.

Substituting c₃ = 2c₃ into equation (4), we get:

-2c₂ + 2c₃ = 0

Simplifying, we have c₂ - c₃ = 0.

Therefore, c₂ = c₃.

Substituting c₂ = c₃ into c₃ = 2c₃, we get c₃ = 0.

From c₃ = 0, we have c₂ = 0, and from c₂ = 0, we have c₁ = 0.

Hence, the only solution to the linear combination is the trivial solution, indicating that the vectors in F are linearly independent.

Spanning:

To show that the vectors in F span F(2) [x], we need to demonstrate that any polynomial f(x) in F(2) [x] can be expressed as a linear combination of the vectors in F.

Let f(x) = a + bx + cx² be an arbitrary polynomial in F(2) [x].

We want to find coefficients c₁, c₂, and c₃ such that:

c₁(1 + x) + c₂(1 + x²) + c₃(1 + 2x - 2x²) = a + bx + cx²

Expanding and comparing coefficients, we get:

c₁ + c₂ + c₃ = a     -- (5)

c₁ = b              -- (6)

c₂ - 2c₃ = c        -- (7)

From equation (6), we have c₁ = b.

Substituting c₁ = b into equation (5), we get:

b + c₂ + c₃ = a

From equation (7), we have c₃ = (c₂ - c)/2.

Substituting c₃ = (c₂ - c)/2 into b + c₂ + c₃ = a, we get:

b + c₂ + (c₂ - c)/2 = a

Simplifying, we have:

2b + 2c₂ + c₂ - c = 2a + c

Rearranging the equation, we have:

3b + 3c₂ = 2a + c

This equation implies that for any given polynomial f(x) = a + bx + cx² in F(2) [x], we can find coefficients c₁, c₂, and c₃ such that c₁(1 + x) + c₂(1 + x²) + c₃(1 + 2x - 2x²) = a + bx + cx². Therefore, the vectors in F span F(2) [x].

Since the vectors in F = (1 + x, 1 + x², 1 + 2x - 2x²) are linearly independent and span F(2) [x], they form a basis for F(2) [x].

b) To compute the coordinate vectors [1]f, [x]f, and [x²]f with respect to the basis F = (1 + x, 1 + x², 1 + 2x - 2x²), we'll solve the following system of equations:

c₁(1 + x) + c₂(1 + x²) + c₃(1 + 2x - 2x²) = f(x)

For [1]f, we have:

c₁(1 + x) + c₂(1 + x²) + c₃(1 + 2x - 2x²) = 1 + 0x + 0x²

Simplifying the equation, we get:

c₁ + c₂ + c₃ = 1

c₁ + c₂ = 0

c₃ - 2c₃ = 0

From c₁ + c₂ = 0, we have c₁ = -c₂.

From c₃ - 2c₃ = 0, we have c₃ = 0.

Substituting c₃ = 0 into c₁ + c₂ = 0, we get:

c₁ + c₂ = 0

c₁ = -c₂

c₁ = 0

c₂ = 0

Therefore, [1]f = [0, 0, 0].

For [x]f, we have:

c₁(1 + x) + c₂(1 + x²) + c₃(1 + 2x - 2x²) = 0 + 1x + 0x²

Simplifying the equation, we get:

c₁ + c₂ + c₃ = 0

c₁ + c₂ = 1

c₃ - 2c₃ = 0

From c₁ + c₂ = 1, we have c₁ = 1 - c₂.

From c₃ - 2c₃ = 0, we have c₃ = 0.

Substituting c₃ = 0 into c₁ + c₂ = 1, we get:

c₁ + c₂ = 1

1 - c₂ + c₂ = 1

1 = 1

This equation is satisfied for any value of c₂.

Therefore, [x]f = [1 - c₂, c₂, 0] = [1, 0, 0] + c₂[-1, 1, 0], where c₂ is any real number.

For [x²]f, we have:

c₁(1 + x) + c₂(1 + x²) + c₃(1 + 2x - 2x²) = 0 + 0x + 1x²

Simplifying the equation, we get:

c₁ + c₂ + c₃ = 0

c₁ + c₂ = 0

c₃ - 2c₃ = 1

From c₁ + c₂ = 0, we have c₁ = -c₂.

From c₃ - 2c₃ = 1, we have -c₃ = 1, which gives c₃ = -1.

Substituting c₃ = -1 into c₁ + c₂ = 0, we get:

c₁ + c₂ = 0

c₁ = -c₂

c₁ = 0

c₂ = 0

Therefore, [x²]f = [0, 0, -1].

In summary, the coordinate vectors with respect to the basis F = (1 + x, 1 + x², 1 + 2x - 2x²) are:

[1]f = [0, 0, 0]

[x]f = [1, 0, 0] + c₂[-1, 1, 0]

[x²]f = [0, 0, -1]

Note: The values of c₂ in [x]f represent different choices for the coefficient of the vector (1 + x), allowing for different coordinate vectors depending on the specific choice.

Visit here to learn more about linear independence

#SPJ11

Using proportions, it is found that about 25 more goals will be scored in the Junior League than in the Senior League in a month.

A proportion is a fraction of a total amount.

In this problem, we have that the mean amount of goals per game for the Junior League is of 3, while for the Senior League is of 2.5, hence there is a difference of 0.5 goals per game. Over 50 games, the expected difference is given by:

D = 0.5 x 50 = 25.

More can be learned about proportions at https://brainly.com/question/24372153

The inequality ( 1 \leq \frac{-3}{x-2} ) has no solution in the set of real numbers. This is because the left-hand side of the inequality is always greater than or equal to 1, while the right-hand side of the inequality can be less than 1 if x is less than 2.

To solve the inequality, we need to find all values of x for which the left-hand side is less than or equal to the right-hand side. The left-hand side of the inequality is always greater than or equal to 1, so the only way for the inequality to be true is if the right-hand side is also greater than or equal to 1.

However, the right-hand side of the inequality can be less than 1 if x is less than 2. For example, if x = 1, then the right-hand side of the inequality is equal to -1, which is less than 1. Therefore, there are no values of x for which the inequality is true, and the inequality has no solution.

Here is a table of values of x and the corresponding values of the left-hand side and right-hand side of the inequality:

x | Left-hand side | Right-hand side

---|---|---|

2 | 1 | 1

1 | 3 | -1

0 | 6 | -3

-1 | 9 | -9

As you can see, the left-hand side is always greater than or equal to 1, while the right-hand side can be less than 1. Therefore, there are no values of x for which the inequality is true.

Visit here to learn more about values:

brainly.com/question/9265203

#SPJ11

Answer:

A. SIMILAR, AA

Step-by-step explanation:

ABE = DBC

AEB = BCD

The expected correlation between the supply of a commodity (x) and the price of a commodity (y) depends on the nature of the commodity and market dynamics. However, in general, we would expect a **negative correlation** between the supply of a commodity and its price. Correct option is C.

The law of supply states that as the supply of a commodity increases, assuming demand remains constant, the price tends to decrease. This is because an increase in supply leads to a higher quantity of the commodity available in the market, potentially causing an excess supply or surplus. In such situations, suppliers may lower prices to attract buyers and reduce their inventory.

Conversely, when the supply of a commodity decreases, assuming demand remains constant, the price tends to increase. A decrease in supply results in a lower quantity available in the market, potentially leading to a scarcity or shortage. In such scenarios, suppliers may increase prices to maximize their profits due to the limited availability of the commodity.

It's important to note that real-world markets can be influenced by various factors, including changes in demand, production costs, technological advancements, government policies, and market competition, which can complicate the relationship between supply and price. Nonetheless, the general expectation is that a decrease in supply tends to lead to an increase in price, and an increase in supply tends to lead to a decrease in price, indicating a negative correlation.

Learn more about correlation here:

https://brainly.com/question/30116167

#SPJ11

An Edgeworth box is used to represent the initial allocation of goods between David and Wilson based on their endowments of onion rings and chips.

An Edgeworth box is a graphical representation used to analyze the allocation of goods between two individuals.

In this case, we consider David and Wilson's initial endowments of onion rings and chips.

To draw the Edgeworth box, we create a rectangular box where the horizontal axis represents the quantity of onion rings (q1) and the vertical axis represents the quantity of chips (q2). The box is divided into four quadrants, representing the allocation of goods to each individual.

Based on their initial endowments, David has 35 onion rings and 10 chips, while Wilson has 5 onion rings and 20 chips.

We label the initial allocation of goods as point "e" within the Edgeworth box, indicating the quantities of onion rings and chips for each person.

By visually representing the initial allocation in the Edgeworth box, we can analyze the potential for trade and the possibility of mutually beneficial exchanges between David and Wilson based on their preferences and utility functions.

learn more about functions click here:

brainly.com/question/572693

#SPJ11

Answer:

\(40-50d\)

Step-by-step explanation:

Use the distributive property:

\(10(4-5d)\\\\10(4)-10(5d)\\\\40-50d\)

Since these are not like terms, they can't be further simplified.

:Done

Answer:

One hour’s sleep before midnight is worth three after.

Answer: You may laugh or whatever but for that london one

Step-by-step explanation:

A beautiful city of night.

The time required for the second lap so that the overall average speed will be 2 miles per minute is 0.6 minutes.

Speed is the distance traveled in a certain unit of time. Speed can be calculated by dividing the distance by time:

Speed = distance / time

Given information:

Distance = 2 miles

Time spent for the first track (time₁) = 2 minutes

Speed for the first lap (speed₁) = 1 mile per minute

Overall speed (\(speed_{t}\)) = 2 miles per minute

\(speed_{t}\) = (speed₁ + speed₂) / 2

      2 = (1 + speed₂) / 2

2 * 2 = 1 + speed₂

      4 = 1 + (distance₂ / time₂)

       4 = 1 + (2 / time₂)

       3 = 2 / time₂

time₂ = 2 / 3 ≈ 0.6 minutes

Thus, the time required for the second lap so that the overall average speed will be 2 miles per minute is 0.6 minutes.

To learn more about speed calculation, click here: https://brainly.com/question/26046491

#SPJ4

Answer:

180 students have blue eyes

Step-by-step explanation:

If 18/40 students have blue eyes, when the total number rof students is 400

18/40 × 400=180

Answer: = 4x² - x - 3

(4x+3)(x -1 ) = 4x² + 3x - 4x - 3 = 4x² - x - 3

Step-by-step explanation: