Your family travels from Bazooka, Iowa, to Dentyne, Missouri, a distance of 348 miles. Your car averages 14.5 miles per gallon on open road driving. If you filled your vehicle at a station where regular gasoline cost $1.83 per gallon, how much would the

The inverse of the given function is y = -1/5(x + 1).

The graph the function and its inverse is shown in the image attached below.

In Mathematics, an inverse function simply refers to a type of function that is obtained by reversing the mathematical operation in a given function (f(x)).

In order to determine the inverse of this function f(x) = -1 - 1/5x, we would interchange both the input value (x) and output value (y) as follows:

y = -1 - 1/5x

x = -1 - 1/5y

Adding 1 to both sides of the function, we have:

x + 1 = -1/5y

Multiplying both sides of the function by -1/5, we have:

y = -1/5(x + 1)

The population of the city grew from 2010 to 2020 by 13.37 %

A percentage is a number that tells us how much out of 100 and can also be written as a decimal or a fraction.

Given that, In 2010, the population of a city was 237,000. From 2010 to 2015, the population grew by 7.6%. From 2015 to 2020, it fell by 4.7%.

The population in 2015 =

A = P (1+r)ⁿ

A = final population.

P = Initial population.

r = rate

n = time

The population in 2015 =

A = 237,000(1+0.076)⁵

A = 341829.629

The population in 2020 =

A = P (1-r)ⁿ

A = 341829.629(1-0.047)⁵

A = 268704.047

Percent grow = 268704.047 - 237,000 / 237,000 × 100

= 31704.047 / 237,000 × 100

= 13.37 %

Hence, the population of the city grew from 2010 to 2020 by 13.37 %

Learn more about percentage, click;

https://brainly.com/question/29306119

#SPJ1

The domain is the set of years, which is {1, 2, 3, 4}, and the range is the set of values, which is {25000, 21250, 13750, 10000}. The ordered pairs of this function are (1, 25000), (2, 21250), (3, 13750), (4, 10000).

The relation described above can be expressed as a set of ordered pairs by calculating the value of the car for each year based on the depreciation rate. Let's calculate the value of the car for each year:

Year 1: 25000

Year 2: 25000 - 3,750

= 21250

Year 3: 21250 - 3,750

= 13750

Year 4: 13750 - 3,750

= 10000

Therefore, the ordered pairs of this relation are

: (1, 25000), (2, 21250), (3, 13750), (4, 10000).

The domain of this relation is the set of years, which is {1, 2, 3, 4}, and the range is the set of values, which is

{25000, 21250, 13750, 10000}.

This relation is a function because each input (year) is associated with one output (value).

Learn more about function here

https://brainly.com/question/29633660

#SPJ4

The logarithmic equation that is equivalent to this exponential equation 2,400=7,500 (10) ^ -x is [tex]x = -log_{10} \frac{8}{25}[/tex]. Option C

from the question we have:

2400 = 7500(10)⁻ˣ

we would have to transform the equation that we have here into the logarithm form.

This is written as:

[tex]\frac{2400}{7500}=10^-^x[/tex]

from here we are to reduce the division

hence we would have:
[tex]10^-^x = \frac{8}{25}[/tex]

-x = log₁₀8/25

then

[tex]x = -log_{10} \frac{8}{25}[/tex]

option c is correct

Read more on logarithms here:https://brainly.com/question/25710806

#SPJ1

Whatever the case a quadrilateral has always a sum of interior angles = 360°.

A quadrilateral is a closed shape in geometry that is created by connecting four points, any three of which cannot be collinear. A quadrilateral has four sides, four angles, and four vertices. The word "quadrilateral" is derived from the Latin words "quadra" (four) and "latus" (sides). A quadrilateral may or may not have equal lengths on each of its four sides.

A quadrilateral is a polygon with four sides, four angles, and four vertices. The arrangement of the vertices must be considered whenever a quadrilateral is named. For instance, the following quadrilateral should be referred to as ABCD, BCDA, ADCB, or DCBA. Since they alter the order of vertices in which a quadrilateral is formed, it cannot be called ACBD or DBAC.

Learn more about quadrilateral

https://brainly.com/question/13805601

#SPJ1

If Ahmad took 200 mg of medication and the function [tex]f(t) = 200e^{-0.4t}[/tex] can be used to determine the amount of medication, then He will have only 50 mg of medication left in his system after (c) 3.47 hours .

The Function that is used to determine the amount of medication, f(t), still in his system after t hours. is given as [tex]f(t) = 200e^{-0.4t}[/tex] ,

we have to find the after how many hours there will be only 50 mg of medication left ;

we need to substitute f(t) as 50 ;

we get ;

⇒ [tex]50 = 200e^{-0.4t}[/tex] ;

⇒ [tex]\frac{50}{200} =e^{-0.4t}[/tex] ;

⇒ [tex]\frac{1}{4} =e^{-0.4t}[/tex]

On solving further ,

we get ;

⇒ [tex]t=3.4657..[/tex] hours ;

So , t≈ 3.47 hours .

Therefore , After 3.47 hours there will be 50 mg of medication left .

The given question is incomplete , the complete  question is

Ahmad took 200 mg of a medication. The function [tex]f(t) = 200e^{-0.4t}[/tex] can be used to determine the amount of medication, f(t), still in his system after t hours. To the nearest hundredth, after how much time will Ahmad have only 50 mg of medication left in his system ?

(a) 4.37 hours

(b) 7.47 hours

(c) 3.47 hours

(d) 3.74 hours

Learn more about Equation here

https://brainly.com/question/30135409

#SPJ4

Answer:

$35.97

Step-by-step explanation:

33 × .09 = 2.97

33 + 2.97 = $ 35.97

Answer:

-30+18q

Step-by-step explanation:

First, distribute the five to the terms in the parenthesis.

5x-6 and 5x4q

so -30+20q-2q

20q-2q equals 18q

so we are left with -30+18q.

The equation of a line can be written in both slope-intercept form and standard form.

To learn more about slope intercept form refer to:

https://brainly.com/question/1884491

#SPJ1

To solve this we must be knowing each and every concept related to probability and its calculations. Therefore, the  probability of tossing heads is 0.000976.

Probability is the branch of mathematics concerned with the outcomes of random occurrences. Probability refers to the chance or potential of an outcome. It describes the likelihood of a specific occurrence occurring.

Probability denotes the possibility of something happening. It is a statistical discipline that deals only with probability of such a random event. The number ranges from 0 to 1, with 0 being an improbable event and 1 representing a certain event.

P(getting heads on one toss) = 1/2

P(getting all heads in 10 tosses)=(1/2)¹⁰

                                                     =1/1024

                                                   =0.000976

Therefore, the  probability of tossing heads is 0.000976.

To learn more about probability, here:

https://brainly.com/question/30070002

#SPJ1

Since Bella takes 4,224 steps, and Ella takes 844.8 steps, they meet at 4,224 steps.

To determine this:

We can start by using the information given to find out how long it takes Bella and Ella to meet.

Since Ella rides 5 times faster than Bella walks, we can use the following equation to find out how long it takes each of them to cover the 2-mile distance:

Time (Ella) = Time (Bella) / 5

We can also use the distance formula to find out how long it takes Bella to cover the 2-mile distance:

Distance = Speed x Time

We know that Bella's speed is [tex]$2\frac{1}{2}$[/tex]  feet per step, and the distance between their houses is 10,560 feet. So:

10,560 feet = [tex]$2\frac{1}{2}$[/tex] feet/step x Time (Bella)

Solving for Time (Bella), we get:

Time (Bella) = 10,560 feet / [tex]$2\frac{1}{2}$[/tex] feet/step = 4,224 steps

Now we can use this information to find out how long it takes Ella to meet Bella:

Time (Ella) = Time (Bella) / 5 = 4,224 steps / 5 = 844.8 steps

And since Bella takes 4,224 steps, and Ella takes 844.8 steps, they meet at 4,224 steps.

To learn more about the Distance, visit:

brainly.com/question/15172156

#SPJ4

The area of the rectangle is 69.12 square inches.

We know that for a rectangle of length L and width W, the area is given by the formula:

A = L*W

Here we know that the length is 14.4 inches, then:

L = 14.4 in

And the width is one-third of that length, then we can write:

W = (1/3)*L

Replacing the value of L, we will get:

W = (1/3)*14.4 inches

W = 4.8 inches.

Then the area of the rectangle is:

A=  (4.8 in)*(14.4 in) = 69.12 in²

That is the area of the rectangle.

Learn more about areas by reading:

https://brainly.com/question/24487155

#SPJ1

The final equation is a polynomial of primes  [tex]2x^{4} + x^{3} - x + 2[/tex] It can't be factored. Variables are sometimes known as indeterminate in mathematics.

 An essential component of the "language" of mathematics and algebra are polynomials. They are used to express numbers that are the result of mathematical operations in almost every area of mathematics. Other types of mathematical expressions, such as rational expressions, also use polynomials as "building blocks."

given

Is a base form of a polynomial in other words is a polynomial that can't be factored.

so we have

[tex]A ) x^{3} +3x^{2} - 2x - 6 = ( x +3 ) ( x^{2} - 2 )\\B) x^{3} -2x^{2} +3x - 6 = ( x- 2 ) (x^{2} + 3)\\C)4x^{4} +4x^{3} - 2x - 2 = 2( x +1 )(2x^{2} - 1)\\D) 2x^{4} +x^{3} -x + 2[/tex]

hence, the final equation is a polynomial of primes  [tex]2x^{4} + x^{3} - x + 2[/tex] It can't be factored.

To know more about polynomial visit :-

https://brainly.com/question/11536910

#SPJ1

The slope shows a change in the amount of fuel left in each mile. Since the slope is -0.04, the amount of fuel left drops by 0.04 gallons each mile

The slope of a line governs its steepness. Using mathematics, the gradient is expressed as "gradient overflow" (the change in y divided by the change in x). The slope is the ratio of the vertical (rise) to the horizontal (run) change in distance between any two sites. Every time the equation for a straight line is written as y = mx + b, the slope-intercept representation of the equation is utilized. At the location of the y-intercept, the line has a slope of m, b, and c. (0, b). As an example, the y-intercept of the equation y = 3x - 7 has a value of 3. (0, 7).

given

It is evident that with each additional row, the distance is increased by one mile and the fuel level is altered.

From one row to the next in the table, the amount of fuel left changes by -0.04 gallons.

The distance in the table that changes from one row to the next is 1 mile.

The slope is the pace at which the amount of fuel left changes in relation to the change in distance.

The line that passes through the places listed in the table has a slope of -0.04 degrees.

The slope shows a change in the amount of fuel left in each mile. Since the slope is -0.04, the amount of fuel left drops by 0.04 gallons each mile.

To know more about slope visit:

https://brainly.com/question/3605446

#SPJ4

After simplification the correct matching is

1) 9i - A)[tex]\sqrt{-81}[/tex]

2) 5i[tex]\sqrt{2}[/tex] - C) [tex]\sqrt{-50}[/tex]

3) 12[tex]\sqrt{6}[/tex] - B) 4[tex]\sqrt{54}[/tex]

4) 6i[tex]\sqrt{7}[/tex] - D) [tex]\sqrt{-252}[/tex]

What is simplification?

To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue.

Here to convert radical to simplified form we need to simplify them then

A)=> [tex]\sqrt{-81}[/tex] = [tex](\sqrt{i*9*9} })[/tex] =  9i

B) =>  [tex]4\sqrt{54} = 4\sqrt{9*6}= 4\sqrt{3^2*6}= 4*3\sqrt{6} = 12\sqrt{6}[/tex]

C) => [tex]\sqrt{-50} = \sqrt{i^2*25*2}=\sqrt{i^2*5^2*2}=5i\sqrt{2}[/tex]

D) => [tex]\sqrt{-252} = \sqrt{i^2*36*7}=6i\sqrt{7}[/tex]

Hence the correct matching is

1) 9i - A)[tex]\sqrt{-81}[/tex]

2) 5i[tex]\sqrt{2}[/tex] - C) [tex]\sqrt{-50}[/tex]

3) 12[tex]\sqrt{6}[/tex] - B) 4[tex]\sqrt{54}[/tex]

4) 6i[tex]\sqrt{7}[/tex] - D) [tex]\sqrt{-252}[/tex]

To learn more about simplification refer the below link

https://brainly.com/question/20373987

#SPJ1

To simplify a square root, simply factor the number and extract the roots of any perfect squares found from the radical sign.

Simplify a radical expression that use the Product Property.

To convert radicals to simplified forms, we must first simplify them.

A) = [tex]\sqrt{-81}[/tex]

   = ([tex]\sqrt{i*9*9}[/tex] )

   =  9i

B) = 4[tex]\sqrt{54}[/tex]

    = 4[tex]\sqrt{9*6}[/tex]

    = 4[tex]\sqrt{3^{2}*6 }[/tex]

    = 4*3√6

    = 12√6

C) = [tex]\sqrt{-50}[/tex]

    = [tex]\sqrt{i^{2}*25*2 }[/tex]

    = [tex]\sqrt{i^{2}*5^{2}*2 }[/tex]

    = 5i√2

D) = [tex]\sqrt{-252}[/tex]

    = [tex]\sqrt{i^{2}*36*7 }[/tex]

    = 6i√7

As a result, the correct match is

1) 9i - A) [tex]\sqrt{-81}[/tex]

2) 5i - C) [tex]\sqrt{-50}[/tex]

3) 12 - B) 4[tex]\sqrt{54}[/tex]

4) 6i - D)[tex]\sqrt{-252}[/tex]

To learn more about simplification refer to :

https://brainly.com/question/28595186

#SPJ1

When two figures have the same shape but differ in size, they are said to be similar figures. In other words, two figures are said to be comparable when they have many characteristics but aren't necessarily identical.

For instance, despite appearing to be the same size, the sun and moon are actually different sizes. However, because both of our figures are circular in shape, we are comparable figures. This phenomenon is seen as a resemblance property while taking shape and distance into consideration.

When two shapes, such triangles, polygons, or quadrilaterals, have the same dimension or common ratio but a different size or length, they are referred to as comparable figures in geometry.

know more about triangles here

https://brainly.com/question/2773823#

#SPJ4

The magnitude of the net electric field at point P due to the particle is 0 . explanation is given as

let us assume that , The charges of the four particles and the distance are given then on understanding the  concept of electric field  at electrostatics concept. on using the concept of the electric field at any given point, then production of  individual electric field by a charge. and we known the concept of superposition law, on applying the law  we  get the value of the electric field in its direction and this shows the determination of   the net electric field at that point.

The magnitude of the electric field,  

E = q * R

where R = The distance of field at  point from the charge, and q = charge of the individual particle

According to the superposition principle, the electric field at a single point due to more than one charges present ,hence on calculation of net electric field  we get the origin of the coordinate system  which is placed at point P and the y-axis is situated and oriented in the direction of the charge,  (passing through the charge, ). The x-axis which  is perpendicular to the y axis, and thus passes through the identical charges, then the  individual magnitudes of an electric field is due to the charges are demonstrated by using the absolute signs of the charges. Now let us assume that the point charge which  being positive i.e  ( q > 0), we can see that the contributions coming from each charge gets cancel to each other. Therefore the net electric field in the direction of the y-axis is given using equation as  E= 0

hence the net electric field is zero .

To know more about electric field click here:

brainly.com/question/15800304

#SPJ4

The cost of oil to fill the drum with height of 4 feet and a radius of 1.2 feet will be $397.90.

An understanding of the different dimensions is necessary to truly understand cubic feet, how big a cubic foot is, and how to measure cubic feet. There are three known dimensions which include a foot measurement. The dimensions expand to include additional measurements with each new dimension.

The cubic foot is an imperial and US customary unit of volume, used in the United States and the United Kingdom. It is defined as the volume of a cube with sides of one foot in length. Its volume is 28.3168 L. At 60 °F, a cubic foot of water weighs 62.37 pounds. A cubic foot (abbreviated as cu ft. or cubic ft.) is an imperial unit of measurement for the volume of a space or three-dimensional object.

Given: A drum of oil has a height of 4 feet and a radius of 1.2 feet. Oil cost has been given as $22 per cubic feet.

We have to calculate the cost to fill the drum with oil.

Since formula to get the volume of the drum is V = πr²h

V = 3.14×(1.2)²×4 = 18.09 feet³

Now the cost of oil to fill the drum will be

Cost = Volume × cost = 18.09×22 = $397.90

To learn more about cubic foot refer to:

brainly.com/question/22260371

#SPJ4

An equation representing this situation where Tommy earned $225 washing cars per appointment charge of $30 and tips of $45 while paying $10 for water per appointment is D. (30 - 10)y + 45 = 225.

An equation is a mathematical statement that states that two or more mathematical expressions are equivalent or equal.

Equations depict the equality of mathematical expressions using the equation symbol (=).

The total amount earned = $225

Variable charge per appointment = $30

Tips earned = $45

Variable cost per appointment for water = $10

Contribution margin per unit = $20 ($30 - $10)

Let each appointment = y

Total earnings: 225 = (30 - 10y) + 45

Thus, the equation that represents the situation of Tommy's net earnings from washing cars is Option D.

Learn more about equations at https://brainly.com/question/2972832

#SPJ1

The angles of a 5-12-13 triangle are A = 81.19°, B = 48.76°, and C = 9.98°.

The angles of a triangle are determined by the triangle's side lengths. This is known as the Law of Cosines. To determine the angles of a 5-12-13 triangle, we can use the Law of Cosines formula:

Cos(A) = (b² + c² - a²) / 2bc

In this equation, A is the angle opposite side a, b is the angle opposite side b, and c is the angle opposite side c. In a 5-12-13 triangle, a = 5, b = 12, and c = 13.

Using the Law of Cosines formula, we can calculate the angle A:

Cos(A) = (12² + 13² - 5²) / 2(12)(13)

Cos(A) = (144 + 169 - 25) / 156

Cos(A) = 278 / 156

Cos(A) ≈ 1.78

Using a calculator, we can calculate the angle A:

A = cos-1 (1.78)

A ≈ 81.19°

Using the same Law of Cosines formula, we can calculate the other two angles of the triangle:

Cos(B) = (a² + c² - b²) / 2ac

Cos(B) = (5² + 13² - 12²) / 2(5)(13)

Cos(B) = (25 + 169 - 144) / 65

Cos(B) = 50 / 65

Cos(B) ≈ 0.77

Using a calculator, we can calculate the angle B:

B = cos-1 (0.77)

B ≈ 48.76°

We can also calculate the angle C:

Cos(C) = (a² + b² - c²) / 2ab

Cos(C) = (5² + 12² - 13²) / 2(5)(12)

Cos(C) = (25 + 144 - 169) / 60

Cos(C) = 10 / 60

Cos(C) ≈ 0.17

Using a calculator, we can calculate the angle C:

C = cos-1 (0.17)

C ≈ 9.98°

Therefore, the angles of a 5-12-13 triangle are A = 81.19°, B = 48.76°, and C = 9.98°.

Learn more about angles of the triangle here:

https://brainly.com/question/15161714

#SPJ4

Thus , Heat moves from a hotter object to a colder one, which accurately sums up the properties of the heat equation. Energy moves from one item to another in the form of heat.

An equation is a mathematical formula that expresses equality by joining two expressions together with the equal symbol =. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. An equal sign is a part of all mathematical formulas, including equations. Often, algebra is used in equations. In mathematics, algebra is employed when we don't know the precise quantity to calculate

Here,

Heat's characteristics

The direction of this transmission is always determined by the temperature differential between the bodies.

To achieve an equilibrium temperature, heat is transferred from the hotter to the cooler body.

As a result of the fact that a body and its surrounds are at different temperatures, we can infer that heat is the energy that is transferred between them.

To know more about equation visit:

brainly.com/question/649785

#SPJ1

WeDeliver: The total cost of sending the parcel with WeDeliver is £64.00.

Total cost is the sum of all costs associated with a particular purchase, project, or investment. It includes the cost of materials, labor, and any other expenses incurred such as taxes, fees, and shipping. Total cost is an important factor in determining whether or not a project or purchase is feasible. When evaluating the total cost, one must consider any associated risks, such as the risk of a market downturn or currency fluctuations.

This is calculated by summing the three dimensions of the cuboid (10 cm + 20 cm + 40 cm) and then multiplying this sum by £0.80.

GoParcels: The total cost of sending the parcel with GoParcels is £48.00. This is calculated by multiplying the total area, in cm, of all 6 faces of the cuboid (10 cm x 20 cm x 2 + 10 cm x 40 cm x 2 + 20 cm x 40 cm x 2) by £0.02.

To learn more about total cost
https://brainly.com/question/2021001
#SPJ1

The area of a square with a length of ((n ^ 3 * m ^ 4)/(nm)) ^ 2 inches is n^6*m^8/(nm)^4.

In geometry, a square is a flat shape with four equal sides and four right angles (90°). A square is an unique sort of parallelogram as well as an equilateral rectangle (an equilateral and equiangular one).

The general formula to find area of square is A=a^2 where is a is length of sides.

The area of a square is given by:

A= l^2 where l is the length

So l= n^3*m^4/(nm)^2

A=l^2= n^6*m^8/(nm)^4

So area of the square is n^6*m^8/(nm)^4.

To learn more about area of square visit the link:

https://brainly.com/question/25092270

#SPJ1

The expression (1/4)(s + 24.80) is used to determine the discount when you buy shoes with a retail price of s dollars and hats with a total retail price of $24.80. The expression calculates the discount as a quarter of the total retail price of the shoes and hats. So another expression is 0.25s + 6.20.

Another expression that can be used to determine the discount would be to calculate the discount as a percentage of the total retail price of the shoes and hats. For example, if the discount is 25%, the expression would be:

Discount = 0.25 × (s + 24.80)

This expression calculates the discount as 25% of the total retail price of the shoes and hats.

Another expression can be :

Discount = 0.25×s + 6.2

This expression calculates the discount as 25% of the shoes price and $6.2 for hats.

It is important to note that the specific expression used to determine the discount will depend on the details of the sale and how the discount is being offered. The above expressions are just examples of how the discount can be calculated using different methods.

To know more on discount

https://brainly.com/question/3541148

#SPJ4

The portion left to mow is 3x+3.5 /4

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given here:Nick mowed about 3.5 of the school lawn yesterday. He mowed another 1/4 of the lawn this morning. Let the whole lawn be x then on the first day portion left to be mowed is x-3.5 and on the second day he moved 1/4 of this quantity thus portion of lawn left to be mowed is

x-x-3.5/4

=3x+3.5 /4

Hence, The portion left to mow is 3x+3.5 /4

Learn more about linear equations here:

https://brainly.com/question/29739212

#SPJ1

By unitary method, you can get  joules by $1.

When given a percentage of an amount, the unitary method can be used to determine the full amount. For instance, if $23 represents 10% of a sum of money, then $10 times $23 equals $230. $6000 is equal to 8% of a sum of money.

Price of 1 Gallon= $3

Energy produced by 1 gallon =  joules

by $1 , you can get 1/3 gallon

energy produced by 1/3 gallon = = joules

To know more about unitary method visit:-

brainly.com/question/22056199

#SPJ4

Answer:660,000

Step-by-step explanation:

principle= 24,000

rate=5.5%

time = 5years

simple interest= P×R×T

. =24000×5.5×5

. = 660,000

The point (2, -4) is reflected across the line y = -1.

The coordinates of the image is (4, -4).

coordinates

Any of a set of numbers used in specifying the location of a point on a line, on a surface, or in space.

Coordinates are a pair of numbers which are used to determine the position of a point or a shape in a 2-dimensional plane. We define the position of a point on a 2D plane using two numbers, called the x-coordinate and the y-coordinate.

Numbers

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.

Learn more about coordinates here :-

https://brainly.com/question/12661885

#SPJ4

To find the expected value of the sum of the numbers on the two selected pieces of paper, we need to calculate the probability of each possible outcome and then multiply that probability by the value of the outcome. The expected  value of the sum of the numbers on the two selected pieces of paper is 6.1625.

Therefore the answer is 6.1625.

The possible outcomes for the first bag are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, each with a probability of 1/10.

The possible outcomes for the second bag are 20, 21, 22, 23, 24, 25, 26, 27, each with a probability of 1/8.

The possible outcomes for the sum of the numbers on the two selected pieces of paper are:

(1,20) ,(1,21) ,(1,22) ,(1,23) ,(1,24) ,(1,25) ,(1,26) ,(1,27)

(2,20) ,(2,21) ,(2,22) ,(2,23) ,(2,24) ,(2,25) ,(2,26) ,(2,27)

(3,20) ,(3,21) ,(3,22) ,(3,23) ,(3,24) ,(3,25) ,(3,26) ,(3,27)

...

(10,20) ,(10,21) ,(10,22) ,(10,23) ,(10,24) ,(10,25) ,(10,26) ,(10,27)

The expected value of the sum of the numbers on the two selected pieces of paper is the sum of the products of each possible outcome and its corresponding probability.

The probability of each outcome is (1/10) * (1/8) = 1/80

So the expected value of the sum of the numbers on the two selected pieces of paper is

(1 + 21)×(1/80) + (1 + 22)×(1/80) + (1 + 23)×(1/80) + (1 + 24)×(1/80) + .... + (10 + 27)×(1/80) = (21 + 22 + 23 + 24 + ... + 37)/80

= (20×17 + 1 + 2 + ... + 17)/80

= (340 + 17×(17 + 1)/ 2)/ 80

= (340 + 17×9)/ 80

= 6.1625

So the expected value of the sum of the numbers on the two selected pieces of paper is 6.1625

To know more on expected value of the sum

https://brainly.com/question/29482812

#SPJ4

Answer: (0, 1), (2,3), (x,x), (-5,x) (I put x's in for the missing numbers)

Step-by-step explanation: Hope this helps!!

Here is the graph: