Dayton Photography Studio is taking graduation portraits for students at local schools.
Eighth graders from Dayton Elementary School ordered 50 basic portrait packages and 52
deluxe portrait packages, for a total of $8,544. The seniors at Greenwood High ordered 93
basic portrait packages and 73 deluxe portrait packages, for a total of $13,591. How much
does each type of package cost?
4) A basic package costs $
and a deluxe package costs $

Answers

Answer 1

The basic portrait packages costs $70 and deluxe portrait packages costs $97.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let the basic portrait packages costs $x.

and, the deluxe portrait packages costs $y.

So, the system of Equation

50x + 52y = 8544..............(1)

93x + 73y = 13591.............(2)

Solving above two equation we get

x=70 and y= 97.

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Related Questions

What is the value of x?

Answers

The value of x is 2√13 units.

The correct option is D.

What is Pythagoras' theorem?

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.

Given:

A right-angled triangle.

The value of the base is 12 units.

And the length of the perpendicular is 8 units.

Therefore,

x = √{(8)² + (12)²}

x = √(64 + 144)

x = √208

x = 2√13

Therefore, x = 2√13.

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Which of the following sentences describes the next step in the construction?

Answers

The sentence that describes the next step in the construction is; D: draw a line through points C and D

How to bisect a line?

The steps that are used to bisect a line segment are;

1) Place the compass at one end of line segment.

2) Adjust the compass to slightly longer than half the line segment length

3) Draw arcs above and below the line.

4) Keeping the same compass width, draw arcs from other end of line.

5) Place ruler where the arcs cross, and draw the line segment.

From the given procedure and looking at the image, we can say that the next logical step would be to draw a line through points C and D

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How do you convert microl to l?

Answers

Microliters (µL) and liters (L) are both units of volume measurement. A microliter is a very small unit of volume, equivalent to one millionth of a liter. To convert microliters to liters, we can use a simple conversion factor.

The conversion factor is based on the fact that one liter is equivalent to one million microliters. Therefore, to convert microliters to liters, we divide the number of microliters by one million. This can be expressed as:

L = µL / 1,000,000

For example, if we have a volume of 500 µL that we want to convert to liters, we can use the formula above as follows:

L = 500 µL / 1,000,000

L = 0.0005 L

 

Therefore, 500 µL is equivalent to 0.0005 liters.

It is important to keep track of the units when making conversions and to use appropriate significant figures. Additionally, it is worth noting that microliters are often used in situations where very small volumes are involved, such as in medical or laboratory settings, whereas liters are used for larger volumes such as in the context of cooking or liquid measurements.

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Write an equation in slope-intercept form for the line that passes through (8,1) and (4,3).


A. y= 1/2x + 5

B. y= −2x + 5

C. y= −1/2x + 5

D. y= −1/2x + 15

Answers

Answer:

The answer would be part C

Step-by-step explanation:

First we find the gradient by y2-y1/x2-x1

So it would be;

3-1/4-8

2/-4

-1/2

Now we put in the gradient and the points (4,3) in the equation y=mx+c;

3=-1/2(4)+c

3=-2+c

3+2=c

5=c

Finally we put c in the equation;

y=mx+c

y=-1/2x + 5

Gwen has a home-based business making and selling scented soaps. She intially spent $96 to purchase soap-making equipment, and the materials for each kilogram of soap cost $9. Gwen sells the soap for $25 per kilogram. Eventually, she will sell enough soap to cover the cost of the equipment. How much soap will that be? What will be Gwen's total sales and costs be?

Answers

Gwen's total sales and costs would be; 50 dollars.

What is an equation?

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

Consider that x represent the number of pounds of soap that she makes and eventually sells.

we are given that Gwen intially spent $96 to purchase soap-making equipment, and the materials for each pound of soap cost $9. This means that the total cost of making x pounds of soap would be;

9x + 96

thus her revenue for x pounds of soap would be

25 × x = 25x

If she eventually sells enough soap to cover the cost of the equipment, then we get;

9x + 96 = 25x

25x - 9x = 96

x = 96/16

x = 6

she would need to sell make and sell 6 soaps.

The cost would be 9x + 96 = 150

The total sales would be;

25 x 6 = 150

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S
ir br
5. A company is designing a new
cylindrical package. The volume of
the package is 87.92 in.³. The
radius is 2 inches. Use 3.14 to
approximate 7 to answer the
questions.
Part A
To the nearest inch, how many
inches is the height of the
cylindrical package?

Answers

Answer:

Step-by-step explanation:

87.92*3.14/4=504.3

HELP ASAP

The table shows values for Variable A and Variable B.

Variable A 1 5 2 7 8 1 3 7 6 6 2 9 7 5 2
Variable B

3 5 4 7 7 4 4 6 6 13 3 8 8 6 1
Use the data from the table to create a scatter plot.
Keyboard Instructions
Initial graph state
The horizontal axis goes from -0.7 to 10.5 with ticks spaced every 1 unit(s).
The vertical axis goes from -1 to 14.5 with ticks spaced every 1 unit(s).

Answers

The value of x is 77.5. The Triangle Angle Sum Theorem states that the sum of the angles in a triangle is 180°.

What is value?

Value is a subjective concept that referred to the word of importance that an individual group of people places on something it is often associated with principal beliefs and standard that are accepted by society when you can be seen as a measure of how important something is true person of organization it is often seen as a reflection of ones worldview and can help to save attitudes decision and behaviors believe is not an absolute and very depending on the context of the looks like commands.

In order to solve for x, we need to use the Triangle Angle Sum Theorem, which states that the sum of the angles in a triangle is 180°. Since angle BAC is bisected by segment AD, the two angles must be equal. Therefore, we can set up the following equation to solve for x:

180° = angle BAC = (x + 7) + (x + 18)

We can solve this equation by combining like terms and isolating the variable x.

180° = 2x + 25

2x = 155

x = 77.5

Therefore, the value of x is 77.5.

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my question is in the screenshot

Answers

The initial amount of stickers given to each of the volunteers was 4 stickers while the final amount given to each of them was 6 stickers.

How to solve Algebra Word problems?

We are told that Mai gave each of the five volunteers the same number of stickers. Thereafter, she gave each of them 2 stickers each and the total was 30 stickers.

If the initial amount given to them each was y, then we have;

5(y + 2) = 30

y + 2 = 6

y = 6 - 2

y = 4

Thus, we can say that the amount of stickers she gave each of them initially was 4 stickers while the amount she gave them in total after the extra ones was 6 each

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determine if the two triangles are congruent

Answers

Yes, the given pair of triangles are congruent by ASA rule.

What are congruent triangles?

In geometry, two triangles are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

Given are two triangles, labelling by names, (refer to the image attached)

Considering the triangles, Δ ABC and Δ DEC,

We have,

AC = DC [given]

∠ A = ∠ D [both are congruent]

∠ ACB = ∠ DCE [vertically opposite angles]

∴ Δ ABC ≅ Δ DEC

By ASA rule.

Hence, we can say, the given pair of triangles are congruent by ASA rule.

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tickets to the play cost $3 for children and $5 dollars for adults. for last bight performance there were 110 people in the audience and they made a total of 450 in ticket sales. how many children and how many adults attended the play (solve by substitution)

Answers

Answer:

50 children tickets; 60 adult tickets

Step-by-step explanation:

Let a = number of adult tickets.

Let c = number of children tickets.

a + c = 110

5a + 3c = 450

  -3a - 3c = -330

  5a + 3c = 450

------------------------

   2a        = 120

a = 60

a + c = 110

c = 50

Answer: 50 children tickets; 60 adult tickets

cesar had $60.he spent $36.90 on a pair of shoes and the rest new shirt
a)what percent of his money did he spend on the shoes
b)what percent of the hair clips were purple

Answers

Answer:

(a) 61.5%

Step-by-step explanation:

(a) $36.90/$60*100%= 61.5%

Does someone mind helping me with this problem? Thank you!

Answers

The equation of the line is y = -4x - 15.

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The line y = m(1)x + c is perpendicular to y = x/4 - 2.

This means,

y = (1/4)x - 2 is in the form of y = m(2)x + c

So,

m(1) x m(2) = -1

m(1) = -1 / (1/4)

m(1) = -4

Now,

The line intersects (4, -1).

So,

y = -4x + c

-1 = -4(4) + c

-1 = -16 + c

c = - + 16

c = -15

Thus,

The equation of the line perpendicular to y = x/4 - 2 is y = -4x - 15.

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Answer the statistical measures and create a box and whiskers plot for the following set of data. 4 , 6 , 7 , 7 , 7 , 9 , 9 , 12 , 13 , 13 , 14 , 14 4,6,7,7,7,9,9,12,13,13,14,14

Answers

Minimum value = 3 , Q₁ = 7.5 , Median = 10 , Q₃ = 13 and maximum value = 16 of the given data set.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

According to the question,

Minimum value of the given data set = 3

n = number of data set

First arrange the data in ascending order

3,4,6,7,8,9,10,10,12,12,13,13,15,16

Quartiles

Q₁ = [ (n+1)/4]th term

   = 14 +1 / 4

  = 3.75th term

  = 3th term + 0.75 ( 4th term - 3th term)

  = 6 + 0.75 (7 -6)

   = 6.75

As n is even,

Median = (N/2)th term

           = 14 /2

           = 7th term

          = 10

Q₃ = [3(n+1)/4]th term

   = 3 × 3.75

   = 11.25

   = 11th term +0.25( 12th term - 11th term)

   = 13 + 0.25 (13 -13)

   = 13

Maximum value = 16

Hence, Minimum value = 3 , Q₁ = 7.5 , Median = 10 , Q₃ = 13 and maximum value = 16 of the given data set.

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The complete question in attachment

A person places $6770 in an investment account earning an annual rate of
7.6%, compounded continuously. Using the formula V = Pert, where Vis
the value of the account in t years, P is the principal initially invested, e is the
base of a natural logarithm, and r is the rate of interest, determine the
amount of money, to the nearest cent, in the account after 13 years.

Answers

The future value in 13 years when compounded continuously is; $18183.25

How to solve Continuous Compounding?

Continuous compounding is defined as the process of calculating interest and reinvesting it into an account's balance over an infinite number of periods.

The formula for continuous compounding is;

V = Pe^(rt)

where;

V is the value of the account in t years

P is the principal initially invested

e is the base of a natural logarithm.

r is the rate of interest

We are given;

P = $6770

r = 7.6% = 0.076

t = 13

Thus;

V = 6770 * e^(0.076 * 13)

V = $18183.25

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The variables X and Y have a proportional relationship and Y equals 2/5 when X equals 5/8 which Quetion represents this relationship

A. Y= 1 9/16x

B. Y= 16/25x

C. Y= 9/40x

D. Y=1/4x

Answers

the answer is D! :)

—————
hi i think this might might be the answer. your welcome!

A survey of all beings on planet Quect found that 30% preferred
pisquet juice to all other juices. If 6 beings preferred pisquet juice,
how many beings were surveyed altogether?

Answers

The total number of beings surveyed is given by the equation A = 20

What is Percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.

Percentage change is the difference between the measured value and the true value , as a percentage of the true value

Percentage change =( (| Measured Value - True Value |) / True Value ) x 100

Given data ,

Let the total number of beings surveyed be represented as A

Now , the percentage of beings preferred pisquet juice = 30 %

The number of beings who preferred pisquet juice = 6

Substituting the values in the equation , we get

( 30 ) % of A = 6   be equation (1)

On simplifying the equation , we get

( 30/100 )A = 6

Multiply by 100 on both sides of the equation , we get

30A = 600

Divide by 30 on both sides of the equation , we get

A = 600/30

A = 20

Therefore , the value of A is 20

Hence , the number of beings is 20

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What is the value of this expression when c=-4 d= 10

Answers

Answer:

9

Step-by-step explanation:

If c = -4 d = 10, we can re-write the expression:

[tex]\frac{1}{4} (-4^{3}+10^{2} )[/tex]

Simplifying what is in the parenthesis:

[tex]\frac{1}{4} (-64 +100)[/tex][tex]\frac{1}{4}[/tex] × 369

Therefore when c = -4 d = 10,  [tex]\frac{1}{4} (-4^{3}+10^{2} ) = 9[/tex].

Answer: B. 9

Step-by-step explanation:

Let's learn some BIDMAS rules!

BIDMAS is an order of operation.

Multiply first or the indices? We can solve it with order of operations.

Here we go ↓↓

B = Brackets

I = Indices (³ ²)

D = Division

M = Multiplication

A = Addition

S = Subtraction

NOTE = Multiply or divide first? We do it from left to right

NOTE = Addition or Subtraction? We also do it from left to write in an equation.

Step 1 :

We replace all the letters with the given value, this make it :

[tex]1/4 (-4^{3} + 10^{2} )[/tex]=?

Step 2 :

Now, according to the rules, we do the numbers in the brackets first, now, in the brackets, there are indices, so we do those.

Which makes it :

1/4(-64+100)= ?

Step 3 :

Now we add the integers inside the brackets, remember, whenever the equation is like this, it is telling us it is a multiplication, here, it will be 1/4 x (-64+100) . In algebra, we don't use the × sign as it can be misinterpreted as [tex]x[/tex] .

1/4 (-64+100 = 36)

1/4 (36)

     =

   1/4 x 36

So we have = 1/4 x 36 at last.

Step 4 =

Do the multiplication!

1/4 x 36 = 9

So the answer is 9

How many quarts are in 4 gallons?

Answers

Answer:

4 US liquid gallons = 16 US liquid quarts

( Multiply the volume value by 4 )

Have a wonderful day! :-)

Answer:

16 quarts in 4 gallons

Step-by-step explanation:

1 gallon equals 4 quarts

A cone has a radius of 4 units and a height of 6 units. Its volume is cubic units. If a cylinder has the same radius and the same height as the cone, then its volume is cubic units.

Answers

Volume of cone =  100.48 cubic units.     and  The Volume of cylinder= 301.44 cubic units.

One of the fundamental three-dimensional forms in geometry is the cylinder, which has two distant, parallel circular bases. At a certain distance from the centre, a curved surface connects the two circular bases. The axis of the cylinder is the line segment connecting the centres of two circular bases. The distance between the two circular bases is used to define the cylinder's height. An LPG gas cylinder is one of the genuine examples of a cylinder. The cylinder is a three-dimensional object with two essential properties: surface area and volume. The whole surface area of the cylinder is composed of the combined curved surface area of the cylinder plus the areas of the two circular bases.

A cone has a radius of 4 units and a height of 6 units.

Volume of cone =  [tex]V=\frac{1}{3}\pi r^2h[/tex]

Where, r=4 and h=6

Volume of cone =  [tex]V=\frac{1}{3}\pi 4^2\times 6[/tex]

Volume of cone =  100.48 cubic units.                

If a cylinder has the same radius and the same height as the cone.

Volume of cylinder [tex]V=\pi r^2h[/tex]

Where, r=4 and h=6

[tex]V=\pi \times 4^2\times 6[/tex]

Volume of cylinder= 301.44 cubic units.

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A bag contains​ pennies, nickels,​ dimes, and quarters. There are 50 coins in all. Of the​ coins, ​14% are pennies and ​40% are dimes. There are 6 more nickels than pennies. How much money does the bag​ contain?

Answers

The bag that contains​ pennies, nickels,​ dimes, and quarters have the total amount of 5.26 dollars.

What is Percentage?

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

A bag contains 50 coins

Now, Number of pennies = 14% of 50

                               = 0.14 × 50

                               = 7 pennies

and, Number of dimes  = 40% of 50

                             = 0.40 × 50

                             = 20 dimes

Number of nickels = 6 more than pennies

                              = 6 + 7

                             = 13 nickles

Number of quarters = Rest of the coins

                               = 50 - (7 + 20 + 13)

                               = 50 - 40

                              = 10 quarters

As we know,

1 penny = 0.01 dollar

7 pennies = 0.01 ×7  = 0.07 dollar

1 dime = 0.10 dollar

20 dimes = 0.10 × 20 = 2.00 dollar

1 nickel = 0.05 dollar

13 nickel = 0.05 × 13 = 0.65 dollar

1 quarter = 0.25 dollar

10 quarter = 0.25 × 10 = 2.50 dollars

Total value of the coins in the bag = 0.07 + 2.00 + 0.65 + 2.50

                                                           = 5.22 dollars

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Please I nee help....

Answers

The area of the figure is 39 feet square.

How to find the area of a composite figure?

A composite figure contains two or more shapes. The figure above is a composite figure. The area of the figure can be calculated as follows:

area of the figure = area of rectangle 1 + area of rectangle 2

Therefore,

area of rectangle 1  = lw

where

l = lengthw = width

Therefore,

area of rectangle 1  = 2(3)

area of rectangle 1  = 6 ft²

area of rectangle 2  = 11 × 3

area of rectangle 2  = 33 ft²

Therefore,

area of the figure = 6 + 33

area of the figure = 39 ft²

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Julian and Nikhil are making paper cones to hold popcorn to hand out at parent math night. They want the cones to hold 28.26 (about 9radius) cubic inches of popcorn. What are two different possible values for height h and radius r for the cones?

Answers

The two different possible values for height h and radius r for the cone is given by r = 2 inches , h = 6.746 inches

What is a Cone?

A cone is a three-dimensional shape in geometry that narrows smoothly from a flat base (usually circular base) to a point(which forms an axis to the center of base) called the apex or vertex.

The volume of a cone is given by the equation

Volume of Cone = ( 1/3 ) πr²h

where r is the radius of the cone

h is the height of the cone

Surface area of the cone = πrl

where l = √ ( b² + r² )

Given data ,

Let the volume of the cone be represented as V

Now , the value of V = 28.26 inches³

Let the radius of the cone be r

Let the height of the cone be h

Volume of Cone = ( 1/3 ) πr²h

Substituting the values in the equation , we get

28.26 = ( 1/3 ) π ( r )² h

Multiply by 3 on both sides of the equation , we get

84.78 / π = r²h

26.986 = r²h

Now , when r = 2 inches

h = 26.986 / 4

h = 6.746 inches

And , when r = 3 inches

h = 26.986 / 9

h = 2.998 inches

Hence , the two values of radius and height of cone are solved

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In the diagram O is the center of the circle if MABC equals 70 what is MAOC 

Answers

The measure of ∠AOC of the circle is ∠AOC = 140°

What is Central Angle?

The central angle is an angle with two arms and a vertex in the middle of a circle. The two arms of the circle's two radii intersect the circle's arc at two separate locations. It is an angle whose vertex is the center of a circle with the two radii lines as its arms, that intersect at two different points on the circle.

The central angle of a circle formula is as follows.

Central Angle = ( s x 360° ) / 2πr

where s is the length of the arc

r is the radius of the circle

Central Angle = 2 x Angle in other segment

Given data ,

Let the measure of ∠ABC of the circle = 70°

Now , the sides AO and BO are the radius of the circle

where x + y = 70°

So , the measure of ∠AOB = 180 - 2x

And , the measure of ∠COB = 180 - 2y

Now , the measure of ∠AOC = 2 ( x + y )

On simplifying , we get

Central Angle = 2 x Angle in other segment

The measure of angle ∠AOC of the circle is = 2 ( 70 )°

The measure of angle ∠AOC of the circle is = 140°

Hence , the measure of ∠AOC of circle = 140°

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Which of the following sentences describes the next step in the construction?

Answers

The sentence that best describes the next step in the construction of a square inscribed in a circle include the following: D. draw a line through points C and D.

What is a line segment?

In Mathematics, a line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points. Additionally, a line segment typically has a fixed length.

In this scenario, the first step in the construction of a square inscribed in a circle is to draw line segment AB and then place your compass needle on any of the endpoints of line segment AB with arcs above and below, named line segment CD.

Furthermore, you should draw a straight line through point C and point D, wherein, line segment CD represent the perpendicular bisector of line segment AB.

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Is it possible to sketch a graph of a quadratic polynomial function that has no turning points? Explain.

Answers

Particular attention should be paid to the y=x3+x graph, which lacks any stationary points of inflexion or turning points. This illustration demonstrates that a cubic graph could contain zero stationary points. One, two, or three x-intercepts can be found on the graph of a cubic polynomial.

What is meant by polynomial?A degree three polynomial might be referred to as a cubic polynomial. In other words, the number three will be the largest exponent of the variable in a cubic polynomial. A cubic polynomial would therefore have the generic form ax3+bx2+cx+d, where a0.Cubic polynomials have variables with highest exponents of three (3) or greater. Consequently, a polynomial of degree three is called a cubic polynomial. Degree 0 is known as the constant, degree 1 as linear, degree 2 as quadratic, degree 3 as cubic, degree 4 as quartic or the fourth degree, degree 5 as quintic or the fifth degree, and so forth.

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Coach Trevor packs a bag with 16 basketballs and footballs. The rato of basketballs to footballs is 5 : 3. Basketballs weigh 22 ounces, and footballs weigh 16 ounces, How much does the basketballs and footballs weigh in all?

Answers

Answer: 316 ounces

Step-by-step explanation:

5 + 3 = 8 (This tells us that there are a total of 8 "parts" in the ratio)

16/8 = 2 (Each part has a total of 2 balls)

2*5 = 10 basketballs

2*3 = 6 footballs

10 basketballs * 22 ounces = 220 ounces

6 footballs * 16 ounces = 96 ounces

Total = 220 + 96 = 316 ounces

Hoped this helped! Leave a comment if you have any other questions.

Which of the following gives the correct range for the graph?
5.01 Identifying functions.
A x:33333 Y:-2,-1,0,2,2
B: x:-3,-1,0,0,2 Y:3,3,3,-3,3
C: x: -4,-3,-2,1,1 Y: -3,1,-4,1,-2
D x:-2,-1,0,2,5 Y: 0,2,1,0,2

Answers

Answer: This question is asking for the range of the graph, which is the set of all possible values of the dependent variable (y-coordinate) in the graph.

Based on the options given, the correct range is:

D x:-2,-1,0,2,5 Y: 0,2,1,0,2

The range of this graph is {0, 1, 2}.

Step-by-step explanation:

A set of data is represented in the stem plot below.


Part A: Find the mean of the data. Show each step of work. Round answer to the nearest whole number. (2 points)
Part B: Find the median of the data. Show each step of work. (2 point)
Part C: Find the mode of the data. Show each step of work. (2 points)
Part D: Compare your values for mean, median, and mode from parts A, B, and C. Explain which value would best represent the data, and why? (4 points)

Answers

A. Mean = 71

B. Median = 75

C. Mode = 0

D. Mean is used to represent data, because mean measures central tendency.

What is mean , median and mode?

A data set's mean (average) is calculated by summing all of the numbers in the set, then dividing by the total number of values in the set. When a data collection is ranked from least to greatest, the median is the midpoint. The number that appears most frequently in a data set is called the mode.

We have the Data set: 35, 42, 43, 51, 55, 57, 62, 66, 68, 69, 74, 75, 76, 77, 78, 79 , 82, 84, 86, 88, 93, 94, 101

So, Mean = average

                = sum of all numbers / total number of values .

                 = 1635 / 23

                 = 71.08

                 = 71

and, Median = middle term = 12th term = 75

lastly, Mode = Most repeated term or term that has high frequency.

Here no terms are repeating so mode = 0

A comparison of the mean, median, and mode

Data are represented using the mean.

Because it averages all of the values in the data set, the mean is the most widely used measure of central tendency.

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The table shows the total distance that Myra runs over different time periods.

A 2-column table with 5 rows titled Time and Distance Ran by Myra. The first column is labeled Time (minutes) with entries 0, 2, 4, 6, 8. The second column is labeled Distance (miles) with entries 0.0, 0.4, 0.8, 1.2, 1.6.

Answers

Distance is increasing with a speed of 0.2 Miles/Min

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Time in Minutes      Distance in Miles

0                              0.0

2                              0.4

4                              0.8

6                              1.2

8                              1.6

Here, Myra’s distance is increasing as time increase with a constant Speed.

Now, In every 2 mins distance traveled = 0.4 Miles

Hence, In every 1 min Distance traveled = 0.4/2 = 0.2 Miles/Min

Thus, Distance is increasing with a speed of 0.2 Miles/Min.

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Im really stuck on this

Answers

The triangular area abc, from the graph on the market for gasoline represents, D. the deadweight loss (or excess burden) created by the tax.

What is a deadweight loss ?

The cost of market inefficiency, which happens when supply and demand are out of balance, is known as a deadweight loss. When supply and demand are out of equilibrium, a deadweight loss arises, which impairs the efficiency of the market.

Deadweight losses may result from price floors, such as minimum wage and living wage regulations, price ceilings like price controls and rent restrictions, and taxation. A society's resource distribution may also become inefficient with a decline in commerce.

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