The price (in S) of a cookbook is determined by the number of cookbooks x demanded by consumers and supplied by the publisher.
Supply: p=0.003.x
Demand: p= -0.008x+330
(a) Solve the system of equations defined by the supply and demand models.
(b) What is the equilibrium price?
(c) What is the equilibrium quantity?

Answers

Answer 1

The system of equations defined by the supply and demand models solved for equilibrium price is $9 and equilibrium quantity is 3000 units

How to solve system of equation?

Supply:

p=0.003x

x = p/0.003

x = 1/0.003p

Demand:

p= -0.008x+330

-0.008x = p - 330

x = (p - 330)/-0.008

Equilibrium price

Equate supply and demand price

0.003x = -0.008x+330

0.003x + 0.008x = 330

0.011x = 330

x = 330/0.11

x = 3,000

Substitute into

p=0.003x

p = 0.003(3000)

p = $9

Consequently, the equilibrium quantity and price is 3000 units and $9

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Related Questions

Sami is 5 feet 8 inches tall and his younger sister is 4 feet 11 inches tall. How many inches taller is sami than his sister?.

Answers

The number of inches Sami is taller to his younger sister as per their respective given heights is equal to 9 inches.

Height of Sami in feet and inches is equal to 5 feet 8 inches

Height of Sami's younger sister is equal to 4 feet 11 inches

Convert all height into inches we get,

1 feet = 12inches

5 feet = 5 × 12 inches

          = 60 inches

4 feet = 4 × 12 inches

          = 48 inches

Number of inches Sami's is taller than his younger sister is equal to

= ( 5 feet 8 inches ) - ( 4 feet 11 inches )

= ( 60 + 8 ) inches - ( 48 + 11 ) inches

= 68 inches - 59 inches

= 9 inches

Therefore, the number of inches Sami is taller than his younger sister is equal to 9 inches.

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help me with this please i need help because i dont get it <33

Answers

Answer:

C

Step-by-step explanation:

consider the coordinates of the same points on both figures

top left vertex of figure P (- 8, 8 )

top left vertex of figure Q (- 4, 4 )

note that both coordinates from Q are half the coordinates of P

then to obtain Q from P multiply each coordinate by [tex]\frac{1}{2}[/tex] , that is

(x, y ) → ([tex]\frac{1}{2}[/tex] x , [tex]\frac{1}{2}[/tex] y )

9. Evan and Yong used this shape
, representing the unit fraction, to draw 1 whole.
Shania thinks both of them did it correctly. Do you agree with her? Explain your answer.

Answers

From the given figure we can say that , Evan's used the given shape correctly to represent the unit fraction .

What is a unit fraction ?

A unit fraction is a fraction whose numerator (top number) is equal to 1. For example, 1/2, 1/3, 1/4, and so on are all unit fractions. Unit fractions are commonly used to represent parts of a whole, and they can also be used to perform certain mathematical operations such as addition and multiplication.

Given ,

Evan and Yong used the given shape representing the unit fraction, to draw 1 whole.

so,

from the given figure ,

in the evan diagram we can say it was mentioned correct, as we need to write down that in 1/3 where as in the Yong's case we can say that it does not come to 1/3 as a final resultant.

Therefore, From the given figure we can say that , Evan's used the given shape correctly to represent the unit fraction .

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Find the equation of the line with slope 7 which goes through the point (−2,−9).

Answers

[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{-9})\hspace{10em} \stackrel{slope}{m} ~=~ 7 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-9)}=\stackrel{m}{ 7}(x-\stackrel{x_1}{(-2)}) \implies y +9= 7 (x +2) \\\\\\ y+9=7x+14\implies {\Large \begin{array}{llll} y=7x+5 \end{array}}[/tex]

Que es el crecimiento exponencial?

Answers

The concept of exponential growth function is discussed below.

What is exponential function?

An exponential function is of the form -

y = A(B)ˣ

Given is to explain exponential growth.

Exponential growth of a quantity happens if the rate of instantaneous change is directly proportional to the quantity itself. The general exponential function is -

y = A(B)ˣ

More specifically -

[tex]$f(x)=a(1+r)^{x}[/tex]

where -

f(x) = exponential growth function

{a} = initial amount

{r} = growth rate

{x} = number of time intervals

Therefore, the concept of exponential growth function is discussed above.

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{Question in english -

What is exponential growth?}

Which of the following is the midsegment for A ACE?

A. AC
B. BC
C. DB
D. CE

Answers

Answer: Segment DB (3rd choice)

Explanation:

Points B and D are midpoints of segments AC and CE respectively. This is because of the tickmarks indicating congruent segment pieces (AB = BC and CD = DE)

Joining the midpoints together forms a midsegment. The midsegment is half as long as the side parallel to it. This means BD is half as long as AE. Flip things around to say that AE is twice as long as BD.

I need the modulus of: I 9+40i I

I = absolute value

Answers

The required modulus is 41 .

Complex Numbers:

A real and imaginary number combo with the formula a + bi , where

a and b are real numbers, and

i is the "unit imaginary number" √(−1)

a and b may also have zero values.

We are aware that complex numbers are made up of both actual and fictitious numbers.

The imaginary part, y, is multiplied by I the square root of -1, and the real part, x.

Modulus of x+iy = [tex]\sqrt{x^2 +y^2}[/tex]

Here, 9 and 40 are substituted for x and y.

i.e. 9+40i

We square the coefficients, add them, and then find the square root to obtain the modulus.

|9+40i| =[tex]\sqrt{9^2 +40^2} =\sqrt{81+1600} =\sqrt{1681}[/tex][tex]=41[/tex]

By long division method we find that

|9+40i| =41

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Interpret the scatter plot based on the shape of the distribution.

Answers

Answer: Looks like a positive correlation with an outlier in the lower left.

Step-by-step explanation:

A rectangular garden 12 feet by 16 feet has a stone path along the perimeter with the same width, w. The area of the garden and path is 420 square feet.

Answers

The correct equation to find the width, w, of the stone path would be: Option B. (2w+12) (2w+16) = 420

This is because the area of the garden and path is equal to the area of the rectangle with dimensions (12+2w) and (16+2w). Therefore, we can set up the equation:

(12+2w)(16+2w) = 420

Expanding and simplifying, we get:

4w² + 56w - 204 = 0

Dividing by 4, we get:

w² + 14w - 51 = 0

Factoring, we get:

(w+17)(w-3) = 0

Since the width of the path cannot be negative, the only valid solution is w = 3.

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Complete question is in the image attached

The smiths took out a $130,000, 30 year mortgage at an APR of 3.4%. The monthly payment was $576.53. What will be their total interest charges after 30 years?

Answers

The total interest charges after 30 years with an APR of 3.4 % is given by the equation A = $ 77,550.80

What is Annual Percentage Yield?

The annual percentage yield (APY) is the real rate of return earned on an investment, taking into account the effect of compounding interest. An APR is a number that represents the total yearly cost of borrowing money, expressed as a percentage of the principal loan amount.

Given data ,

Let the total interest charges after 30 years be represented as A

Now , the equation will be

The APR percentage = 3.4 %

The amount taken as loan = $ 130,000

The number of years = 30 years

The monthly payment = $ 576.53

The number of payments n = 30 x 12 = 360 payments

So , the total amount paid in 30 years = monthly payment x number of payments

Substituting the values in the equation , we get

The total amount paid in 30 years = 360 x 576.53

The total amount paid in 30 years = $ 207,550.80

Now , the total interest charges after 30 years A = total amount paid in 30 years - amount taken as loan

Substituting the values in the equation , we get

The total interest charges after 30 years A = $ 207,550.80 - $ 130,000

On simplifying the equation , we get

The total interest charges after 30 years A = $ 77,550.80

Hence , the interest charges after 30 years is $ 77,550.80

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why is this graph not a function?​

Answers

The graph is not a function because it fails the vertical line test

How to determine why it is a not function

From the question, we have the following parameters that can be used in our computation:

The graph (added as an attachment)

The given graph when represented as an equation, is a circle equation

As a general rule, we have

Circle equations are not functions and they do not represent a function on a graph

This is so because they do not pass the vertical line test

Hence, the graph is not a function

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or problems 2-7, find the slope of the line.
1.
1.
-10
-10
2 PRACTICE
y
y
10
10
3.
y
10
H
5.
-10-
y
10
2
+
10
Copyright ©Great Minds PBC

Answers

The slope of the line in graph 2 is equal to 1.

The slope of the line in graph 3 is equal to 1/2.

The slope of the line in graph 4 is equal to 3/4.

The slope of the line in graph 5 is equal to 3.

How to calculate the slope of a line?

In Mathematics, the slope of any straight line can be determined by using this mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Substituting the given data points into the slope formula, we have the following;

Slope, m = (7 - 2)/(7 - 2)

Slope, m = 5/5

Slope, m = 1.

For the line in graph 3 with the given data points, we have:

Slope, m = (3 + 2)/(6 + 4)

Slope, m = 5/10

Slope, m = 1/2.

For the line in graph 4 with the given data points, we have:

Slope, m = (6 - 0)/(8 - 0)

Slope, m = 6/8

Slope, m = 3/4.

For the line in graph 5 with the given data points, we have:

Slope, m = (6 - 0)/(2 - 0)

Slope, m = 6/2

Slope, m = 3.

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A cupcake shop makes 25 dozen
cupcakes every 2 days. At this rate, how
many cupcakes does the shop make in
five days?
A. 600
B. 650
C. 750
D. 900
I got a bit confused with this pls help.

Answers

Answer:

The correct answer is c. 750

Step-by-step explanation:

if the shops makes 25 dozen in two days that makes it 300 cupcakes In two days because 1 dozen is 12 cupcakes, so you will see that they make 50 dozen in 4 days which is 600 then you know he/she is going to make half of the 25 dozen on the 5th day so you will take half of 300 which is 150 and add it all together, so will get 300+300+150= 750 as your answer.

In ΔGHI, i = 800 cm, m m∠G=26° and m m∠H=122°. Find the length of h, to the nearest 10th of a centimeter.

Answers

Answer:

For the nearest 10th of a centimeter, the value of h is 460 cm

Step-by-step explanation:

To find length of h we can use Law of Sines  . The Law states that for a triangle with sides a, b, and c and angles A, B, and C opposite to those sides, the following equation holds:

a/sin A = b/sin B = c/sin C

In ΔGHI, let h be the length of the side opposite angle H, and let i be the length of the side opposite angle I.

Now:

h/sin 122° = i/sin 26°

We can find h by cross multiplying:

h = i * sin 122° / sin 26°

  =459.9

Here,

h = 459.9 cm

By taking approximation we get 460 cm

Answer:

This answer is actually 1280.3

Step-by-step explanation:

ASAPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

48ft²

Step-by-step explanation:

Visualize the trapezoid as consisting of a rectangle with two triangles on either side. To find its total area, find the area of each and add them up.

Note that the formula for the area of a square is (base*height) and the formula for the area of a triangle is (0.5*base*height). The bottom of the trapezoid is 15ft and the top is 9ft, which makes the combined bases of the two triangles 15-9=6ft, meaning each triangle's base is 3ft.

Area of left triangle = 0.5*3*4 = 6ft²

Area of square = 4*9 = 36ft²

Area of right triangle = 0.5*3*4 = 6ft²

Therefore the total area is: 6ft² + 36ft² + 6ft² = 48ft²

Answer:

48ft?

Visualize the trapezoid as consisting of

a rectangle with two triangles on either

side. To find its total area, find the area of

each and add them up.

Out of a random sample of 300 voters, it was found that 172 voters are in favor of Issue #1.
Out of a total of 75,000 voters, how many do you predict will vote against Issue #1?
It is predicted that ___
voters are against Issue #1.

A- 30,000
B- 32,000
C- 43,000
D- 60,000

Answers

Answer:

B)32000

Step-by-step explanation:

Out of 300, 172 are in favor, and 142/300 is simplfieid as 43/75

43/75 is equal to 43,000/75000

Subtract 75000 by 43000

The difference is 32,000.

32,000 voters are against the Issue.

Caleb observed the costumes that people wore to a costume party. The themes of the costumes and the number of people who wore them are shown in the following table.


Costume Theme Superhero Decades Scary TV & Movie Characters Animals Career
Number of People 128 96 72 52 24 28


A circle graph was drawn from the data in the table. What percentage would be on the Decades slice of the circle graph?
24%
26.7%
86.4%
96%

Answers

Answer:

  (a)  24%

Step-by-step explanation:

You want the percentage of people in the Decades slice of a circle graph if it represents 96 people. The other slices represent 128, 72, 52, 24, and 28 people.

Percent

The fraction in the second category is the ratio of the number in that category to the total number. The percent is the fraction multiplied by 100%.

  96/(128 +96 +72 +52 +24 +28) × 100% = 96/400 × 100% = 24%

The Decades slice of the circle would be 24%, choice A.

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The cost for shipping a package that weighs x pounds from Boise
to Los Angeles is shown at the right. How much more does
Shipping Central charge than Globe Delivery?

Answers

Shipping Central charges $0.51 more than Globe Delivery for any given weight of the package.

How to calculate this?

The cost for shipping a package that weighs x pounds from Boise to Los Angeles is shown below.

Company                    Cost ($)

Shipping Central        3x+3.50

Globe Delivery          2x + 2.99

To determine the amount more Shipping Central charges than Globe Delivery, you can subtract the cost function for Globe Delivery from the cost function for Shipping Central.

The difference between the two cost functions is:

3x + 3.50 - (2x + 2.99) = x + 0.51 = $0.51 + x

This means that, for any given weight of the package, Shipping Central charges $0.51 more than Globe Delivery.

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Select the correct answer.
of a group of 500 people, 60 are fit enough to climb Mount Shasta in California. The group has 300 women and 200 men. 12% of the men are fit
to climb the mountain. What is the probability that a person picked at random from the group is a male or is fit to climb Mount Shasta?
OA
OC
OD.
Answer as a fraction

Answers

Answer:

As a fraction, the probability that a person picked at random from the group is a male or is fit to climb Mount Shasta is 12/100.

Step-by-step explanation:

Let the number of fit men is x.

Now,

we know

x = 12% of 200 men

x =  [tex]\frac{12}{100}[/tex]   ×200

x = 0.12 × 200

   = 24 men.

Given,

The 60 people are fit to climb the Mount Shasta ,24 of them are men,

so there must be

60 - 24 = 36 women who are fit to climb the mountain.

The probability of a person picked at random from the group is a male or is fit to climb Mount Shasta is the sum total of the probability of picking a fit male and the probability of picking a fit female is,

P(male or fit) = P(male and fit) + P(female and fit)

P(male or fit) = P(male) × P(fit | male) + P(female) × P(fit | female)

P(male or fit) = ([tex]\frac{200}{500}[/tex]) ×([tex]\frac{24}{200}[/tex]) + ([tex]\frac{300}{500}[/tex]) × ([tex]\frac{36}{300}[/tex])

                     =.4 × .12 + .6 × .12

                     = 0.048 + 0.072

                     =.12

So,

P(male or fit) ≈ 0.12

As a fraction, the probability that a person picked at random from the group is a male or is fit to climb Mount Shasta is 12/100.

If possible factor. Find LCD. Multiply both sides by LCD. Solve show all work.

Answers

The lowest common denominator of the fraction is 6

What is LCD

The lowest common denominator (LCD) is the smallest common multiple of the denominators of a set of fractions. It is used to add or subtract fractions with different denominators.

The LCD of a set of fractions is the smallest number that is divisible by all the denominators in the set. When all the denominators are divided into the LCD, each fraction has an equivalent fraction with the same value and a denominator equal to the LCD.

In the fraction given;

x / 3 + x / 2 = 20

The lowest common denominator is 6

Using 6, we can divide through each of the fraction.

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help please!!!!!!!!!!

Answers

Answer:

5x(8-1)=(5x10)-(5x4)

Describe a single transformation of △ABC that is a composition of the following pair of transformations:
T<−5,−3>(ABC) followed by T<−4,−2> (A'B'C).
A. T<−1,−5>(ABC)
B. T<−9,−5>(ABC)
C. T<−9,−1>(ABC)
D. T<−1,−1>(ABC)

Answers

The required overall translation is T<−9,−5>(ABC). The correct answer would be option B.

What is a transformation?

A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

Starting with triangle ABC, we first apply the transformation T<−5,−3>, which means each vertex of the triangle is shifted 5 units to the left and 3 units down. So the triangle becomes A'B'C'.

Next, we apply the transformation T<−4,−2> to triangle A'B'C', meaning that each vertex is shifted 4 units to the left and 2 units down.

To find the overall effect of these two transformations, we can think of the second transformation as shifting the entire triangle produced by the first transformation.

In other words, we're combining the effects of the two transformations by adding the translations together.

So, the overall translation is T<−5 + −4, −3 + −2> = T<−9,−5>,

Thus, the correct answer would be option B: T<−9,−5>(ABC).

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The length of each side of an equilateral triangle having an area of square root of 243sq.cm is​

Answers

Answer:

[tex]\textrm{Each side = 23.6893 cm}\\\\\\\textrm{Rounded to 2 decimal places = 23.69 cm}\\\\\textrm{Rounded to 1 decimal place = 23.7 cm}[/tex]

You can choose the level of precision as desired from the above

Step-by-step explanation:

The area of an equilateral triangle of side a

is
[tex]A = \dfrac{(a^2 \sqrt{3})}{4}[/tex]

We are given A = 243

Plugging in values we get

[tex]243 = \dfrac{a^2\sqrt{3}}{4}[/tex]

Switch sides so [tex]a^2[/tex] term is on the left

[tex]\dfrac{a^2\sqrt{3}}{4} = 243[/tex]

Multiply by 4 both sides to get rid of the denominator:
[tex]\dfrac{a^2\sqrt{3}}{4} \times 4 = 243 \times 4\\\\a^2\sqrt{3} = 972\\\\[/tex]

Divide by [tex]\sqrt{3}[/tex]  both sides:
[tex]a^2 = \dfrac{972}{\sqrt{3}}\\\\a^2 = 561.18446\\\\a = \pm \sqrt{561.18446}\\\\[/tex]

Taking only positive square root:
[tex]a = \sqrt{561.18446}\\\\a = 23.6893\\\\[/tex]

Suppose that x and y vary inversely, and x = 10 when y = 8. Write the function that models the inverse variation.

Answers

If x and y vary inversely, we can write their relationship then the function that models the inverse variation is y = 80/x.

What is Function?

In mathematics, a function is a rule or mapping that associates each input value (also called the independent variable) with a unique output value (also called the dependent variable). Functions are often represented using an equation, formula, or a graph, and are used to model real-world phenomena and solve problems in various fields such as science, engineering, economics, and more.

They can take different forms and have different properties, such as being linear, quadratic, exponential, periodic, or more complex. Some common notation used to represent functions includes f(x), y = f(x), or simply y.

If x and y vary inversely, we can write their relationship as:

x * y = k

where k is a constant of proportionality. We can use the given initial values of x and y to solve for k:

10 * 8 = k

k = 80

Therefore, the function that models the inverse variation is:

x * y = 80

or

y = 80/x

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Please help me!! Quiz due 11:59pm - Match each scatterplot shown below with one of the four specified correlations

Answers

so the closer to 1 the higher the correlation or the closer the dots are to each other.

a) -0.97
the dots should have a relatively negative slope and close together. the last graph fits this best.

b) 0.16
the dots should not really have a linear relationship and would look a bit disordered. this would best fit the first graph

c) 0.17
like b, this would be a bit disordered but there should be a more visible linear pattern amongst the dots, which i believe the second graph seems to fit the best.

d) 0.89
there would be a positive linear relationship amongst the dots and they should be relatively close together which fits the third graph best.

b and c are very similar, and to me the first graph fits b better, however if you believe the second is less of a linear relationship compared to the first one, put that as b

You randomly draw once from this deck of cards.
4 6
1 6 9 4
8
1
1
2 6 7
What is the probability of not drawing an even number? Write your
answer as a fraction.
9
5

Answers

Answer:why not

Step-by-step explanation:that sa prrety nice ask

Answer: 5/8

Step-by-step explanation:

The probability of not drawing an even number can be calculated by finding the number of odd numbers in the deck and dividing by the total number of cards. In this deck, there are 5 odd numbers: 1, 1, 1, 7, and 9. The total number of cards is 8. Therefore, the probability of not drawing an even number is 5/8. The answer is written as a fraction as 5/8.

LMNO is a parallelogram. If NM = x + 37 and OL = 5x + 9 find the value of x.

Answers

The value for the variable x in the parallelogram is equal to 7.

How to evaluate for the variable x in the parallelogram

The parallelogram LMNO have two pairs of parallel sides hence LO = MN and LM = ON.

We shall evaluate for variable x as follows:

5x + 9 = x + 37

5x - x = 37 - 9 {collect like terms}

4x = 28

x = 28/4 {divide through by 4}

x = 7

Therefore, the value for the variable x in the parallelogram is equal to 7.

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The value of the variable x is 7

How to determine the value

It is important to note that the opposite sides of a parallelogram are congruent or equal in length.

Then, for the parallelogram LMNO

NM is parallel to OL

Now, substitute the values, we get;

NM = OL

x + 37 = 5x + 9

collect like terms

x - 5x = 9 - 37

subtract the like terms

-4x = -28

Make 'x' the subject

x = 7

Hence, the value is 7

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A woman has a total of $7,000 to invest. She invests part of the money in an account that pays 10% per year and the rest in an account that pays 11 per year. If the interest earned in the first year is $730 , how much did she invest in each account

Answers

The investments are $ 4000 and $ 3000 in the respective accounts

What is Algebra ?

The mathematical field of algebra assists in the depiction of problems or conditions as mathematical statements. It involves variables like x, y, z, and mathematical operations like addition, subtraction, multiplication, and division to form a meaningful mathematical expression.

In the given question,

x = amount invested at 10 %

( 7000 - x ) = amount invested at 11 %

The total interest was $730 :

.10 (x) + .11 (7000-x) = 730

0.1 x + 770 - 0.11 x = 730

0.01 x = 40

x = 4000

Therefore, the amount invested in an account that pays 10 % per year is $ 4000.

Hence ,  the amount invested in an account that pays 11 % per year is

= ( 7000 - x ) = 7000 - 4000 = $ 3000.

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An angler catches a fish that weighs 20 kg. The fish’s bones make up approximately 10% of the fish’s total weight. What is the weight of the fish meat, not including the bones, in pounds? Round to the nearest tenth if necessary.

44.0
40.0
39.6
4.4
4.0

Answers

Answer: approximately 40lbs.

Step-by-step explanation:

First, you multiply 20kg to 10%, or 0.10.

20(0.10)=2kg

Then you minus the 2kg from the initial weight

20kg

-2kg

18kg

1 kg is approximately 2.20462262 lbs., so you need to convert your kg to lbs

18kg * 2.20462262 lb/kg = 39.68320716 which is rounded up to approximately 40lbs

Hope that helps!

I need to know why the medians differ relative to the data set and the best measure of center?

Answers

Explanation:

In this case the median value is more representative of the 'center' of the population. The median is a better measure when the data set is skewed, has fat tails as compared to a normal didtribution, or has outliers. Otherwise you should use the arithmetic mean.

Other Questions
create a new document in your text editor using vs code save it as: yourlastnamemealstip.php. this file contains both html and php statements. which type of radioactivity has a negative charge?a. alpharaysb. x-raysc. beta raysd.gamma rays 7. What precedent did President Truman set when he sent troops to Korea?The United States was willing to fight a direct war against communism even if it meant starting World War III.The United States would fight alongside the troops of any country that was battling communist expansionism.The President could send U.S. troops overseas without a congressional declaration of war.It is easy to defeat communist aggression when countries fight together. Q5: Maynard, Joan, Jaco, and Neil are trying to form a band. They each have some basic skills on most instruments, so their current plan is for each of them to rotate among vocals, guitar, bass, and drums. After a year of practice and rehearsals, the band still sounds awful. Maynard can\'t keep a steady beat when on bass or drums, Jaco sounds terrible at everything except the bass, nobody except Joan can remember all the chords on guitar, and even Neil\'s own mother thinks his singing sounds like a dying cow. At their current rate, they expect it will be several years before they are good enough to land their first paid performance. None of them have enough money saved up to last that long. They all know you are taking economics and ask your advice. What would you say to them?1- Continue with the current plan, as economies of scale should eventually kick in.2- Have each member specialize in the role that they are best in, to take advantage of benefits from specialization.3- Abandon the band, as continued practice is doomed to suffer diminishing marginal returns.4- Invest their remaining savings in new instruments, as they are at a point where the marginal product of capital exceeds the marginal product of labor.5- Change the rotation to be random rather than equal, to take advantage of heteroskedasticity.-------------------------------------------------Q6: Which of the following is the best definition of efficiency?1- When everyone can be made better off by using resources more wisely2- When nobody can be made better off without making someone worse off3- When the only way somebody can be made better off is by making another better off4- When everybody is as well off as possible5- When somebody can be made better off without making someone worse off-------------------------------------------Q7: You and other college students are deciding whether to major in music or engineering. You learn that there is a shortage of engineers making it easy for engineering graduates to find employment while there is a glut of musicians for whom finding a job is difficult. As a result you and many other college students decide to major in engineering. What economic principle does this illustrate?1- Specialization leads to economic efficiency2- Changes in incentives are unlikely to change the decisions people make3- Markets tend to move towards equilibrium as individuals respond to incentives4- Individuals do not normally take into account the decisions of other individuals5- Government intervention can improve efficiency when there is a market failure a horseshoe magnet is moved toward a pile of iron shavings. the iron shavings divide and attach to both ends of the magnet. how does the kinetic energy of the system change? (1 point) responses kinetic energy decreases because iron shavings move in the direction of magnetic force. kinetic energy decreases because iron shavings move in the direction of magnetic force. kinetic energy decreases because iron shavings move in the opposite direction of magnetic force. kinetic energy decreases because iron shavings move in the opposite direction of magnetic force. kinetic energy increases because iron shavings move in the opposite direction of magnetic force. kinetic energy increases because iron shavings move in the opposite direction of magnetic force. kinetic energy increases because iron shavings move in the direction of magnetic force. What did the romans call the peninsula spain is located on?a. Iberianb. Hispaniac. Britaind. Morocco Two sides of a triangle areshown. Find the range ofvalues of the third side.8, 5< X < A group of students stood in a circle to play a game. The circle had a diameter of 22 meters. Which measurement is closest to the area of the circle in meters? Which shapes from the Clade Race would be considered plesiomorphic?a. Circleb. Heartc. Squared. Arrowe. Cross Let f(x)=p(x)/q(x) where p(x) and p(x) are polynomials with no common factors other than 1. Describe how to find the x-intercepts and the vertical asymptotes of the function If you save $200 a month, how many months until you can purchase the car? Bob is interested in examining the relationship between the number of bedrooms in a home and its selling price. After downloading a valid data set from the internet, he calculates the correlation. The correlation value he calculates is only0.05. What does Bob conclude?a.Bob gives up on his research becauser=.05means there is no relationship of any kind between bedrooms and selling price. b.Bob continues his research because even though there is no linear relationship here, there could be a different relationship. Read this excerpt from the text "The Carolina Crew: The Mystery at Myrtle Beach."Select the event that best describes Carolina's urgency to tell a lifeguard of her concern about the sardine run."This seems weird," said Debbie, "but it looks surprisingly similar to the sardine run in South Africa. I've never heard of it happening anywhere else in the world.""You're right," said Carolina. "It does look like a sardine run. I've never heard of it happening anywhere else either and definitely not here in South Carolina." She rubbed the back of her neck. Suddenly realizing what a sardine run could mean, she spoke with urgency. "If there are sardines, there are probably sharks out there trying to feed on them."A. Caroline heard Debbie say that sardine runs happen in South Africa.B. Carolina knows if there is a sardine run, sharks will be in the area.C. Carolina knows that it's weird to see a sardine run on a crowded beach.D. Carolina knows that sardine runs don't usually happen in South Carolina.PLEASE ANSWER TRUTHFULLY!!!! what is the solution set to the inequality -4x - 2 - 14 Determine which consecutive integers do not have a real zero of f(x)=x-4x-4x+15 between them.a. (4, 5)C. (-2,-1)b.(1, 2)d.(-3,-2) Why was renouncing terrorism an important part of the Oslo Accords?O It was the primary goal for the Palestinian side.OIt was an attempt to stop violent acts against civilians.OIt was linked to economic independence for Palestinians.OIt was in exchange for the recognition that a two-state solution was needed. You have a set of calipers that can measure thicknesses of a few inches with an uncertainty of 0. 005 inches. You measure the thickness of a deck of 52 cards and get 0. 590 in:a. If you now calculate the thickness of 1 card, what is your answer, including its uncertainty?b. You can improve this result by measuring several decks together. If you want to know the thickness of 1 card with an uncertainty of only 0. 00002 in. , how many decks do you need to measure together? What is the atom number for He The current through a dryer is 12 A. If the input voltage is 220 v. What electrical energy does it make in 1.5 min? What is the role of a centromere?A. To protect the middles of chromosomesB. To regulate which genes are used to make proteinsC. To connect sister chromatids before cell divisionD. To wrap around histones in order to package DNA inchromosomes