The graph shows a proportional relationship between the variables y and x. Write an equation to model the relationship. Use pencil and paper. Explain how you know there is a proportional relationship if you are given either an equation or a graph.

The table is completed below

Distance (cm)      weight (newtons)

20                         28

55                         77

100                        140

1                             1.4

The maximum data in the y axis is 140

The maximum data in the x axis is 100

The blank is filled by finding proportional relationship, this is calcualted by

let the constant of proportionality be k

20k = 28

k = 20/28

k = 1.4

55k = 55 * 1.4 = 77

? * k = 140

? = 140/k = 140/1.4 = 100

1 * k = 1 * 1.4 = 1.4

How high each value can go is the highest value in each axis and the is 100 for x axis and 140 for y axis

Learn more about constant of proportionality at:

https://brainly.com/question/1835116

#SPJ1

The possibile base and height of second triangle is option 4: 16 and 6.

We are given the height and base are inversely proportional for the triangle. Based on this, the area of triangle is given by the formula -

Area = 1/2 × base × height

Keep the values in formula to find the area of first triangle -

Area = 1/2 × 12 × 8

Area = 6 × 8

Area = 48

Now, option a in the choices is incorrect, because there is no variation seen in the two values. Trying the other three options to find the dimensions of same area.

Option 2: 60 and 36

Area = 1/2 × 60 × 36

Area = 30 × 36

Area = 1080

Option 3: 120 and 80

Area = 1/2 × 120 × 80

Area = 60 × 80

Area = 4800

Options 4: 16 and 6

Area = 1/2 × 16 × 6

Area = 8 × 6

Area = 48

Hence, option 4 16 and 6 are correct base and height.

Learn more about triangle -

https://brainly.com/question/17335144

#SPJ4

The complete question is attached in the figure.

Answer:

• Area of parallelogram = 270 in.²

• Area of square = 225 in.²

• Area of composite figure = 495 in.²

Step-by-step explanation:

We are given a composite figure made up of a parallelogram and a square and told to find its area.

To do this, we are told first to find the area of the parallelogram. The formula for the area of a parallelogram is:

[tex]\boxed{\mathrm{Area \ of \ parallelogram = base \times height}}[/tex].

From the figure, we can see that, for the parallelogram, height = 18 in. and base = 15 in. (since opposite sides of a parallelogram are equal).

Using this information, we can calculate the area of the parallelogram:
Area = base × height

        = 15 in. × 18 in.

        = 270 in.²

Next, we have to find the area of the square using the formula:

[tex]\boxed{\mathrm{Area \ of \ square = side \times side}}[/tex].

From the figure, we can see that the length of a side of the square is 15 in.

Therefore, using the formula above, we can calculate the area of the square:

Area = side × side

        = 15 in. × 15 in.

        = 225 in.²

Now that we know the respective areas of the two shapes that make up the composite shape, we simply have to add the areas together:

Area of composite figure = 270 in² + 225 in²

                                          = 495 in.²

The value of MB equal x which is equal to 50.6 as the two triangles are similar triangles.

Based on the given information, MNP has a segment AB which is parallel to NP. As AB and NP are parallel and MN is transverse. Therefore, ∠MAB ≅ ∠MNP.  According to Angle – Angle property of similarity, triangle MNP and triangle MAB are similar triangle. If two pairs of corresponding angles are congruent in two triangles, then the triangles are similar. The corresponding sides of similar triangles will be in the same ratio. Hence,

MA/MN = MB/MP

MA = MN – AN = 46.2 – 14 = 32.2

Hence,

32.2/46.2 = x/72.6

x = 50.6

Learn more about Similar triangle:

https://brainly.com/question/14285697

#SPJ4

a) The probability of both balls drawn from the bag be red is 6/55

b) The probability of one ball red and other ball black is 4/11

Given,

Number of white balls in the bag = 2

Number of red balls in the bag = 4

Number of black balls in the bag = 5

Two balls are drawn from the bag.

Here,

a) Find the probability of both balls be red.

(²C₀ x ⁴C₂ x ⁵C₀) / ¹¹C₂

= (1 x 6 x 1)/ 55

= 6/55

That is,

The probability of both balls be red is 6/55

b) Find the probability of one ball red and other ball black

(²C₀ x ⁴C₁ x ⁵C₁) / ¹¹C₂

= (1 x 4 x 5) / 55

= 20/55

= 4/11

That is,

The probability of one ball red and other ball  black is 4/11

Learn more about probability here;

https://brainly.com/question/23986809

#SPJ4

The maximum error in the calculated area of the disk is 33.93 square cm. The relative error is 0.0148. The percentage error is 1.48%.

a. The area [tex]$\mathrm{A}$[/tex] of a circle with radius [tex]$\mathrm{r}$[/tex] is given by the following formula from Geometry:

[tex]$A=\pi r^2$[/tex]

The question provides us the following information:

radius [tex]$r=27 \mathrm{~cm}$[/tex], maximum radius measurement error [tex]$\Delta r=0.2 \mathrm{~cm}$[/tex]

Using linear differentials we get the error in the calculation of the area of this disk [tex]$\Delta A$[/tex] from (1) as follows:

[tex]$\Delta A=2 \pi r \Delta r \Longrightarrow|\Delta A|=2 \pi r|\Delta r|$[/tex]

Using the information from (2) in (3) yields

[tex]$|\Delta A|=2 \pi(27)(0.2)=33.93 \mathrm{~cm}^2 \text {. }$$[/tex]

The maximum error in the calculated area of the disk is 33.93 square [tex]$\mathrm{cm}$[/tex].

b. The relative error is calculated using (1) and [tex]$r=27 \mathrm{~cm}$[/tex] as follows:

Relative Error [tex]$=\frac{|\Delta A|}{A}=\frac{33.93}{\pi\left(27^2\right)}=0.0148$[/tex].

The relative error is 0.0148.

c. The percentage error is the relative error in part b. above multiplied by [tex]$100 \%$[/tex] to give us

Percentage Error [tex]$=100 \% \times$[/tex] Relative Error [tex]$=100 \% \times 0.0148=1.48 \%$[/tex].

The percentage error is [tex]$1.48 \%$[/tex].

To learn more about percentage error visit: https://brainly.com/question/28746643

#SPJ4

Answer:x=-5

Step-by-step explanation:

Wolves absence would lead the rabbit population to become stable at 5,000.

Step 1. Concept

If there is a missing variable that should be in the system, set that particular variable to zero and make the necessary conclusion.

Step 2. Given,

dR/dt = 0.08R(1 - 0.00032R) - 0.001RW

dW/dt = −0.02W + 0.00002RW

Step 3. Calculation

The transformed equations of populations of rabbit and wolves will be

dR/dt = 0.08R(1 - 000.2R) - 0.001RW

dW/dt = −0.02W + 0.00002RW

Let's check the rabbit population in the absence of wolves(W) to 0

Thus,

Differential equation dR/dt

dR/dt = 0.08R(1 - 000.2R) - 0.001RW

Take W to equal to O

dR/dt = 0.08R(1 - 000.2R) - 0.001R(0)

dR/dt = 0.08R(1 - 000.2R)

When,

dR/dt = 0 we have R = 0 or R = 5,000

This,

R = 5,000 becomes the equilibrium point in the absence of wolves

Then,

0 < R < 5,000, dR/dt > 0

For R, let's estimate a value rise of the rabbit population to 5,000

Then,

R > 5,000, dR/dt < 0

Judging from the value if R, we infer a deduction in the rabbit population by 5,000

Thus,

We can conclude that wolves absence would lead the rabbit population to become stable at 5,000.

learn more about of equation here

https://brainly.com/question/15456625

#SPJ4

Hence, the deal of  $[tex]479[/tex] is best unit price per blender.

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given that,

Oliver is buying equipment for his restaurant. He can buy two blenders for $[tex]396[/tex] or three blenders for $[tex]479[/tex].

So,

Oliver buying two blenders at  $[tex]396[/tex] so the cost of one blender is

i.e., [tex]\frac{396}{2}=198[/tex]$

Oliver buying two blenders at  $[tex]479[/tex]  so the cost of three blenders is

i.e., [tex]\frac{479}{3}=159[/tex]$

Hence, the deal of  $[tex]479[/tex] is best unit price per blender.

To know more about the equation

https://brainly.com/question/12788590

#SPJ1

Answer: $13,000

Step-by-step explanation:

The correct option is tabular

An interactive way to quickly summarize large amounts of data is with a pivot table. A Pivot Table can be used to thoroughly analyze numerical data and provide unexpected answers about your data. Querying vast amounts of data in a variety of user-friendly ways is one task that a pivot table is especially useful.

Data are easily summarized in pivot tables. Pivot tables can be a huge help if you're looking for a quicker and easier way to summarize data. It will help any user create a brief summary from a large amount of disorganized data that is arranged in rows and columns.

From the above information

we can understand that

out of the 4 options

the PivotTable layouts displays all fields in separate columns and subtotal rows at the bottom of each group, similar to a table

is Tabular

hence the solution is Tabular

To learn more about pivot table click the following link :-

https://brainly.com/question/23501096

#SPJ1

The given statements can be expressed as

a) [tex]$p \land q$[/tex].

b) [tex]$p \land\neg q$[/tex]

c) [tex]$\neg(p \lor q)$[/tex]

d) [tex]$p \land (q \lor r)$[/tex]

e) [tex]$r \land (p \lor q)$[/tex]

f)   [tex]$r \land (p \land \neg q)$[/tex]

What is a logical expression?

A statement that can be true or false is referred to as a logical expression Depending on the values of p and q, it can be true or false. This is distinct from a mathematical expression, which represents a true statement.

The given statements are

p: it is windy.

q: it is cold.

r: it is raining.

Now

a) it is windy and cold

   This statement can be expressed as - [tex]$p \land q$[/tex].

(b) it is windy but not cold.

     This statement can be expressed as - [tex]$p \land\neg q$[/tex]

(c) it is not true that it is windy or cold. - [tex]$\neg(p \lor q)$[/tex]

(d) it is raining and it is windy or cold.  - [tex]$p \land (q \lor r)$[/tex]

(e) it is raining and windy or it is cold. [tex]$r \land (p \lor q)$[/tex]

(f) it is raining and windy but it is not cold. [tex]$r \land (p \land \neg q)$[/tex]

Hence, the given statements can be expressed as

a) [tex]$p \land q$[/tex].

b) [tex]$p \land\neg q$[/tex]

c) [tex]$\neg(p \lor q)$[/tex]

d) [tex]$p \land (q \lor r)$[/tex]

e) [tex]$r \land (p \lor q)$[/tex]

f)    [tex]$r \land (p \land \neg q)$[/tex]

To learn more about logical statements, visit:

https://brainly.com/question/2467366

#SPJ4

Using the distributive property, the greatest common factor of  75+20 is 5(15+4).

The distributive property of binary operations in mathematics generalizes the distributive law, which states that in elementary algebra, equality is always true.

For instance, in basic mathematics, one has to According to one, addition is distributed more evenly than multiplication.

So, the largest number that will split two values is the greatest common factor. Two values are available: 75 and 20.

Each has a set of numbers that when added together equal the total.

We must identify the most important quality or area where they most agree.

Each possesses the following elements:

75: 1,3,5,15,25, 75

20: 1, 2, 4, 5, 10, 20

Each has 5, making this the GCF.

As a result, we write the expression as 5(_+_).

We calculate the matching factor by multiplying each term by 5.

75/5= 15

20/5=4

5(15+4)

Therefore, using the distributive property, the greatest common factor of  75+20 is 5(15+4).

Know more about the distributive property here:

https://brainly.com/question/2807928

#SPJ4

Correct question:

Apply the distributive property to factor out the greatest common factor.

75 + 20 =

The error that Vera made is she used the wrong number in her inequality to claimed the solution set on the number line represents the inequality.

In mathematics, "inequality" refers to a connection between two expressions or values that are not equal to one another. The equation-like form of the formula 5x 4 > 2x + 3 has an arrowhead in lieu of the equals sign. It is an illustration of inequity. This shows that the left half, 5x 4, is bigger than the right part, 2x + 3. Finding the x numbers for which the inequality holds true is what we are most interested in. An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.

To know more about inequality,

https://brainly.com/question/15014103

#SPJ4

The intercountry differences in participation rates in organ-donation programs is due to STATUS QUO BIAS.

Status quo bias can be defined as the emotional prejudice to the way things are and any change is considered a loss.

This status quo bias phenomenon often affect decision making in an individual. In some countries, organ donation is widely accepted by the people while it is not accepted in some other countries. The only reason for this is because of just the way things are done usually in those countries.

Another example of status quo bias will be saving money towards retirement. Everyone sees this as a The intercountry differences in participation rates in organ-donation programs is due to STATUS QUO BIAS.

Status quo bias can be defined as the emotional prejudice to the way things are and any change is considered a loss.

This status quo bias phenomenon often affect decision making in an individual. In some countries, organ donation is widely accepted by the people while it is not accepted in some other countries. The only reason for this is because of just the way things are done usually in those countries.

Another example of status quo bias will be saving money towards retirement. Everyone sees this as a norm.

To know more about status quo bias

https://brainly.com/question/14325636

#SPJ4

Answer:

Answer is 4.

x = 4

Step-by-step explanation:

Answer: four less than three times a number

Step-by-step explanation:

4 - 3x

x beside a number is times a number so example 4 - ( 3 multiply X)

sorry if it doesnt make sense  

Answer:

yo

Step-by-step explanation:

the person above is right

um did it on edge

The number of each type of ticket is sold is D. 90 adult tickets and 30 children's tickets

From the information given, an adult ticket for a magic show costs $18. A children's ticket for the magic show costs $12.

The number of adult tickets sold is 3 times the number of children's tickets sold. A total of $1980 is taken in for ticket sales.

Let the number of children tickets = x

Number of adults ticket = 3x

Therefore, this will be illustrated as:

18(3x) + 12(x) = 1980

54x + 12x = 1980

66x = 1980

Divide

x = 1980 / 66

x = 30.

Children ticket = 30

Adult tickets = 30 × 3 = 90

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

Answer:

domain {-9,-8,3}, range{0,7}

Step-by-step explanation:

domain is the set of all x values

range is the set of all y values

When data from k populations are utilized in an analysis of variance, the mean square between treatments (MSTR) = (C) SSTR/(k - 1).

A statistical method called analysis of variance (ANOVA) is used to examine variations in response variables (continuous random variables) evaluated under settings with discrete factors (classification variables, often with nominal levels).

Analysis of Variance is referred to as ANOVA.

Ronald Fisher created a statistical test in 1918, and it has been in use ever since.

Simply put, an ANOVA analysis determines if the means of three or more independent groups differ statistically.

The mean square between treatments (MSTR) equals SSTR/ when samples from k populations are used in an analysis of variance (k - 1).

Therefore, when data from k populations are utilized in an analysis of variance, the mean square between treatments (MSTR) = (C) SSTR/(k - 1).

Know more about an analysis of variance here:

https://brainly.com/question/25800044

#SPJ4

Correct question:
When an analysis of variance is performed on samples drawn from k populations, the mean square between treatments (MSTR) is _____.

a. sstr/k

b. sstr/nt

c. sstr/(k – 1)

d. sstr/(nt – 1)

Answer:

70.8

Step-by-step explanation:

70.782     round the bold 7   to 8   because the number that follows it is >=5

70.8

Statisticians want to know if the hypothesized mean of the differences is less than zero for paired data. So, the null hypothesis is H0:μd=0, and the alternative hypothesis is Ha:μd<0.Option(b)

A null hypothesis proposes that certain characteristics of a population or development process are the same regardless of whether they differ or not. There is a difference, according to the alternative hypothesis. A null hypothesis can be rejected with a certain degree of confidence through hypothesis testing.

The alternative hypothesis can be supported if the null hypothesis is rejected. A null hypothesis test is a basis for science's falsification principle.

A statistician believes that the percent population growth rate of major cities has decreased compared to last decade. To test his claim, he randomly selects major cities and compares the percent population growth between the years 2007 and 2017 to the percent population growth between the years 1997 and 2007. Let d=percent growth rate from 2007 to 2017−percent growth rate from 1997 to 2007. Identify the correct null and alternative hypothesis for a hypothesis test.

H0:μd≠0

Ha:μd=0

H0:μd=0

Ha:μd<0

H0:μd=0

Ha:μd>0

H0:μd=0

Ha:μd≠0

To Learn more about null hypothesis:

https://brainly.com/question/19990568

#SPJ4

0.8 is greater than 0.3 an image is attached to show the plotting on the number line.

A number line is a one-dimensional horizontal line where we can represent any real number. The origin of the number line is represented by zero left to it are all negative real numbers and right to it are all positive real numbers.

Given, are two decimals 0.3 and 0.8.

We know 0.3 lies between 0 and 0.5 and 0.8 lies between 0.5 and 1.

∴ 0.8 > 0.3.

The plotting of the numbers is attached in the image.

learn more about number line here :

https://brainly.com/question/13425491

#SPJ1

Answer:

Step-by-step explanation:

x 3.2 is the answer maybe

Answer:

Step-by-step explanation:

6.3kg = 6300 g

450 * 14 = 6300

20 minutes for 450 g

so, 20 *14 = 280 minutes

Answer:

280 minutes

Step-by-step explanation:

To roast a turkey that weighs 6.3 kg, it will take 20 minutes for every 450 g of turkey, or a total of 20 minutes * (6.3 kg / 0.45 kg/450 g) = 280 minutes.

180-(45+15) = 120

4x+120=180

4x=60

x=15

The type of sampling method that the manager used is called; Simple random sampling

There are different methods of sampling used in statistics and they are;

1. Simple random sampling

2. Systematic sampling

3. Stratified sampling

4. Cluster sampling

5. Convenience sampling.

Now, we are told that the manager uses the computer to randomly select 250 students to survey. This type of sampling method is known as simple random sampling because every single student of that school is chosen randomly, merely by chance. Each student has the same probability of being chosen to be a part of a sample.

Read more about Method of sampling at; https://brainly.com/question/9910540

#SPJ1

Option d). Making the initial determination for all the information requires protection among the unauthorized disclosure where the interest of security is not a derivative classification.

Derivative Classification is the incorporating, paraphrasing, restating, or producing in new shape data this is already categorized, and staining the newly evolved fabric constant with the class markings that practice to the supply data. Copying or duplicating present categorized data, which includes photocopying a document, isn't by-product class.

Derivative classifiers are accountable for preserving the safety and integrity of categorized data. These people should own information concerning the difficulty count number of the categorized data, in addition to class control and staining techniques. Typically, there are 4 classifications for data: public, internal-only, confidential, and restricted. Let's study examples for every of those.

Learn more about derivative classification visit: brainly.com/question/29546945

#SPJ4

Correct Question:

All of the following are steps in derivative classification EXCEPT:

a). Seek additional guidance to resolve uncertainty

b). Analyze material to be classified

c). Use authorized sources for guidance

d). Make recommendations for others to mark the new document

Answer:

x = 4

Step-by-step explanation:

Look what the attachment

x=4

Step-by-step explanation:

2x-2+5=x+7

2x+3=x+7

2x-x=7-3

x=4

The probability that an Endure All battery selected at random will last more than 610 hours is 0.1056.

What is a normal distribution?

A data collection with a normal distribution is put up so that the majority of the values cluster in the middle of the range and the remaining values taper off symmetrically in either direction.

Here, we have

Normally distributed with a mean of 500 hours and a standard deviation of 40 hours.

We have to calculate the probability that an endure all battery selected at random will last more than 550 hours.

Given that μ = 500, σ = 40, for x > 550

z = 550-500/40

z = 1.25

From the normal distribution table, P(z > 1.25) = 1 - P(z < 1.25) = 1 - 0.8944 = 0.1056

Hence, The probability that an Endure All battery selected at random will last more than 610 hours is 0.1056.

To learn more about the normal distribution from the given link

https://brainly.com/question/4079902

#SPJ4