Identify the kind of sample that is described. An electronics store pulls all receipts of customers who purchased a computer over the past two years and then selects every one to poll about high-speed Internet rates.

In the United States, the formal committees responsible for reviewing research plans prior to initiating a research study are commonly referred to as Institutional Review Boards (IRBs).

Institutional Review Boards (IRBs) play a crucial role in ensuring the ethical conduct of research involving human subjects. These committees are typically found in hospitals, universities, and other research institutions. IRBs are responsible for reviewing and approving research proposals to protect the rights and welfare of participants involved in the studies.

The primary function of an IRB is to evaluate the ethical aspects of research, including the study design, procedures, informed consent process, potential risks and benefits, and the qualifications of the researchers involved. IRBs assess whether the proposed research meets the ethical guidelines and regulatory requirements established by organizations such as the U.S. Department of Health and Human Services (HHS) and the Food and Drug Administration (FDA).

By conducting thorough reviews, IRBs ensure that research studies adhere to ethical principles, such as respect for autonomy, beneficence, and justice. Their oversight helps to safeguard the rights and well-being of research participants and promotes responsible and ethical research practices.

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The volume of the diamond can be calculated by dividing its mass by its density. Given that the mass of the diamond is 712.04 grams and the density is 3.51 grams/cm^3, we can determine the volume using the formula: Volume = Mass / Density.

By substituting the given values into the formula, we get: Volume = 712.04 g / 3.51 g/cm^3.

Performing the calculation, we find that the volume of the diamond is approximately 202.86 cm^3.

Therefore, the correct answer is 202.86 cm^3.

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The mean absolute deviation (MAD) for the given data set is approximately 46.5.    

The mean absolute deviation (MAD) for a data set is calculated by finding the mean (average) of the data set, then calculating the absolute deviation for each data point by minus the mean from each data point and taking the absolute value. Finally, the mean of the absolute deviations is computed to determine the MAD.

To calculate the mean absolute deviation (MAD) for the given data set, we follow these steps:

1.Find the mean value of the data set.

2.Calculate the absolute deviation for each data point by taking difference the mean from each data point and taking the absolute value.

3.Find the mean of the absolute deviations.

Now calculate the mean absolute deviation for the data set:

Step 1: Find the mean:

[tex]Mean =\frac{122 + 132 + 155 + 198 + 213 + 225 + 261 + 280}{8}\\ = \frac{1586}{ 8}\\ = 198.25[/tex]

Step 2: Calculate the absolute deviation for each data point and find the sum:

|122 - 198.25| = 76.25

|132 - 198.25| = 66.25

|155 - 198.25| = 43.25

|198 - 198.25| = 0.25

|213 - 198.25| = 14.75

|225 - 198.25| = 26.75

|261 - 198.25| = 62.75

|280 - 198.25| = 81.75

Sum of absolute deviations = 76.25 + 66.25 + 43.25 + 0.25 + 14.75 + 26.75 + 62.75 + 81.75

= 372

Step 3: Find the mean absolute deviations:

[tex]$\rm MAD =\frac{\text{Sum of absolute deviations}} { \text{Number of data points}}\\ &\\$\text{Number of data points }=$\frac{372}{8}\\ $= 46.5$[/tex]

Rounded to the nearest tenth, the mean absolute deviation (MAD) for the given data set is approximately 46.5.

Therefore,the mean absolute deviation (MAD) for the given data set is approximately 46.5.  

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The Agricultural Adjustment Act was a government program that raised farm prices by establishing quotas and paying farmers not to plant more. It aimed to benefit farmers and stabilize agricultural production during the Great Depression.

The Agricultural Adjustment Act (AAA) was enacted in 1933 as part of President Franklin D. Roosevelt's New Deal policies to combat the economic challenges of the Great Depression.

The primary objective of the AAA was to increase farm income and stabilize agricultural production, which had been severely affected by overproduction and falling prices.

Under the AAA, the government implemented several measures to raise farm prices. One of the key strategies was to establish quotas, which limited the amount of certain crops that farmers could produce.

By reducing the supply of crops, the AAA aimed to create scarcity and increase prices.

Additionally, farmers were paid subsidies or benefits for voluntarily reducing their production or taking land out of cultivation. This approach was known as "payment in kind" and involved paying farmers not to plant certain crops or to reduce their livestock.

The AAA was primarily beneficial to large-scale farmers, as they were more likely to receive higher payments for reducing production.

However, the act also had some unintended negative consequences, particularly for sharecroppers and tenant farmers.

These marginalized groups often faced displacement and job losses due to the reduction in agricultural activities.

Overall, the Agricultural Adjustment Act played a significant role in attempting to stabilize the agricultural sector, raise farm prices, and provide economic relief to farmers during the Great Depression.

However, its impact on different farming communities varied, and it was primarily focused on the production and price control aspects rather than direct assistance to those facing hunger or food distribution programs.

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We can start by finding the height of trapezium ABCE by using the formula for the area of a trapezium:

Area = (1/2) x sum of parallel sides x height

Substituting the given values, we get:

60 = (1/2) x (AB + CE) x h

We can also find the height of trapezium ABCD using the same formula:

48 = (1/2) x (AB + CD) x h

Since AD is parallel to BC, we know that AB + CD = AE.

Adding the above equations, we get:

108 = (AB + CE + AE) x h

We also know that DE = 4 cm, and AD is parallel to BC, so triangles ADE and BCD are similar.

Therefore:

DE/BC = AD/AB

4/BC = AD/AB

AD = 2AB

Substituting this into the above equation, we get:

108 = (AB + CE + 2AB) x h

108 = (3AB + CE) x h

h = 108 / (3AB + CE)

Next, we can use the Pythagorean theorem to find the length of CE:

CE^2 = DE^2 + CD^2

CE^2 = 4^2 + AB^2

CE^2 = 16 + AB^2

We can also find the length of AE by using the fact that AD is parallel to BC:

AE = AB + CD

AE = AB + (CE - DE)

AE = AB + CE - 4

AE = AB + √(16 + AB^2) - 4

Now we can substitute our expressions for h, CE, and AE into the formula for trapezium area:

Area of ABCE = (1/2) x (AB + CE) x h

60 = (1/2) x (AB + √(16 + AB^2)) x (108 / (3AB + √(16 + AB^2)))

Simplifying this equation:

120 = (AB + √(16 + AB^2)) x (108 / (3AB + √(16 + AB^2)))

120(3AB + √(16 + AB^2)) = (AB + √(16 + AB^2)) x 108

Squaring both sides, we get:

(120(3AB + √(16 + AB^2)))^2 = (AB + √(16 + AB^2)) x 108)^2

Simplifying the left-hand side:

(120(3AB + √(16 + AB^2)))^2 = 1296AB^2 + 6912AB + 20736

Expanding the right-hand side and simplifying:

AB^2 + 32AB - 96 = 0

Solving for AB using the quadratic formula:

AB = (-32 ± √(32^2 - 4(-96)) / 2

AB = (-32 ± √1760) / 2

AB ≈ 9.8 cm or AB ≈ -3.12 cm (extraneous)

Since we know that AB + CE = AE, we can solve for CE:

CE = AE - AB

CE = (√(16 + AB^2) + AB) - AB

CE = √(16 + AB^2)

Now we can substitute AB and CE into the given expressions for f and g:

f = (AB - CE) / 2

f = (9.8 - √(16 + 9.8^2)) / 2

f ≈ -0.96 cm (since f represents a length, we take the positive value)

g = (AD + CD) / 2 - DE

g = (2AB + CE) / 2 - 4

g = AB + √(16 + AB^2) / 2 - 4

g ≈ 6.3 cm

The correct options are:

- The researcher randomly selects 10 classes and asks all the students in those classes to fill out an anonymous survey.

- The researcher takes a random sample from the enrollment list of the college and surveys the selected students.

The final sample is referred to be an unbiased sample if the sampling technique used was not biased. A representative sample is more likely to result from an impartial sample.

The unbiased methods that the researcher could use are:

- The researcher randomly selects 10 classes and asks all the students in those classes to fill out an anonymous survey. This method ensures that the sample is representative of the overall population of college students.

- The researcher takes a random sample from the enrollment list of the college and surveys the selected students. This method also allows for a random selection of participants, which helps in obtaining unbiased results.

Therefore, the correct options are:

- The researcher randomly selects 10 classes and asks all the students in those classes to fill out an anonymous survey.

- The researcher takes a random sample from the enrollment list of the college and surveys the selected students.

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Step-by-step explanation:

The sum of the exterior angles of any polygon equal 360 degrees .....

  sooooo   48 + 35 +  118 + 63 + x = 360

                          x = 360 - 48 -35 - 118 - 63 = 96 degrees

When a sprinkler head is installed on a finished ceiling or wall, a(n) escutcheon is required and may be included as part of the listed assembly or as a decorative touch.

An escutcheon is a protective and decorative cover that is used when a sprinkler head is installed on a finished ceiling or wall. It is designed to conceal the gap between the sprinkler head and the surrounding surface, providing a neat and finished appearance. The installation of an escutcheon is necessary for several reasons. First, it helps to prevent the accumulation of dust, dirt, or debris around the sprinkler head, which could potentially interfere with its functions.

By covering the gap, the escutcheon acts as a barrier, keeping the area clean and maintaining the proper operation of the sprinkler system. Secondly, the escutcheon serves an aesthetic purpose. It enhances the overall appearance of the sprinkler head installation, making it visually appealing and blending it seamlessly with the surrounding ceiling or wall.

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Answer:  Bottom left corner

[tex]f^{-1}(x) = \frac{-9x-7}{x+6}\\\\[/tex]

=======================================

Work Shown:

[tex]f(x) = \frac{-6x-7}{x+9}\\\\y = \frac{-6x-7}{x+9}\\\\x = \frac{-6y-7}{y+9}\\\\x(y+9) = -6y-7\\\\[/tex]

[tex]xy+9x = -6y-7\\\\xy+6y = -7-9x\\\\y(x+6) = -9x-7\\\\y = \frac{-9x-7}{x+6}\\\\f^{-1}(x) = \frac{-9x-7}{x+6}\\\\[/tex]

Explanation:

I swapped x and y. Then I solved for y to get the inverse.

Massive undersea volcanoes in the Triassic had which of the following consequences of Enormous bodies of igneous rock formed at and below the sea surface and The same Triassic-aged evidence of mafic igneous rocks is visible in the Palisades, New Jersey, and in Morocco.

The consequences of massive undersea volcanoes in the Triassic period include

a) Enormous bodies of igneous rock formed at and below the sea surface.

(b) The same Triassic-aged evidence of mafic igneous rocks is visible in the Palisades, New Jersey, and in Morocco.

These consequences are associated with the volcanic activity during the Triassic period. The other options listed are not directly related to the consequences of undersea volcanoes in the Triassic.

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The total mass of the stars in Pair X is 16 times the total mass of the stars in Pair Y. This means that Pair X has a significantly greater total mass compared to Pair Y.

To understand why, let's consider the relationship between orbital period and total mass in binary star systems. According to Kepler's Third Law of Planetary Motion, the square of the orbital period (T) is proportional to the cube of the semi-major axis (a) of the orbit. Since the separation of the pairs is identical, we can assume that the semi-major axes are the same for both pairs.

Given that the orbital period of Pair X is 4 times that of Pair Y, the square of the orbital period of Pair X (T_x^2) is 16 times the square of the orbital period of Pair Y (T_y^2). Since the semi-major axes are the same for both pairs, the ratio of the total masses (M_x/M_y) will be the square root of the ratio of the orbital periods (T_x/T_y). Therefore, (M_x/M_y) = sqrt(T_x/T_y) = sqrt(4) = 2.

This implies that the total mass of Pair X is 2 times the total mass of Pair Y. Since the total mass of Pair X is 16 times the total mass of Pair Y, we can conclude that Pair X has a total mass that is 16 times greater than Pair Y.

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Smallpox is a highly contagious disease transmitted through direct skin contact with skin crusts. It is characterized by symptoms such as fever, prostration, rash, and potential toxemia and shock. The virus can become dormant in the ganglia of sensory neurons, leading to recurrent episodes known as shingles.

Smallpox is primarily transmitted through close contact with infected individuals, specifically through direct skin-to-skin contact or by inhaling respiratory droplets from an infected person. The disease manifests with initial symptoms of high fever, severe fatigue, and body aches, leading to a characteristic rash that covers the body. Smallpox can also cause toxemia, resulting in a severe systemic illness with potential complications like shock.

Additionally, the virus responsible for smallpox, variola virus, has the ability to establish latent infection. After the acute infection subsides, the virus can enter a dormant state and reside in the ganglia of sensory nerves. If reactivated, typically due to a weakened immune system or other factors, the virus can cause a recurrent episode known as shingles. Shingles is characterized by painful, blistering rashes that typically follow the distribution of sensory nerves and can occur years after the initial smallpox infection.

In conclusion, smallpox is indeed a disease that can be transmitted through direct skin contact with skin crusts. It presents with symptoms such as fever, prostration, rash, and potential toxemia and shock. Moreover, the variola virus responsible for smallpox can become latent in the ganglia of sensory neurons, leading to recurrent episodes known as shingles.

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Answer: F_ID

Step-by-step explanation:

1) -5 (answer F)

2) Not one of answer choices (q+27/4)

3)-1/3 (answer I)

4) 3 (answer D)

The reference specifications should provide information on approved wiring methods for the workshop area. By examining these specifications, it can be determined which wiring method is not approved for use in that particular area.

To identify the wiring method not approved for use in the workshop area, one would need to refer to the specific reference or specifications provided. The reference should outline the approved wiring methods for the workshop area and any restrictions or exclusions for certain types of wiring.

Commonly approved wiring methods in workshop areas include conduit systems such as rigid metal conduit (RMC), intermediate metal conduit (IMC), and electrical metallic tubing (EMT), as well as nonmetallic sheathed cable (NM cable) or armored cable (AC). These methods are commonly used due to their durability, protection against physical damage, and compliance with safety standards.

On the other hand, wiring methods that may not be approved for use in the workshop area could include less durable options or those that do not meet the safety requirements outlined in the specifications. Examples of such methods may include exposed wiring, open wiring, or wiring not protected by conduit or suitable insulation.

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Answer:

approximately

7.335695

(a) The conditional probability mass function of X₁ given X₂ = 1 is P(X₁ = 1 | X₂ = 1) = 7/18.

(b) The conditional probability mass function of X₁ given X₂ = 0 is P(X₁ = 1 | X₂ = 0) = 2/18 = 1/9.

(c) Assuming balls are selected with replacement, the conditional probability mass function of X₁ given X₂ = 1 is P(X₁ = 1 | X₂ = 1) = 12/19.

(d) Assuming balls are selected with replacement, the conditional probability mass function of X₁ given X₂ = 0 is P(X₁ = 1 | X₂ = 0) = 7/19.

(a) When the balls are selected without replacement and X₂ is known to be 1 (black), there are 12 black balls left out of 18 remaining balls. Therefore, the probability of X₁ being 1 (black) is 12/18 = 7/18.

(b) When the balls are selected without replacement and X₂ is known to be 0 (white), there are still 7 black balls left out of 18 remaining balls. Therefore, the probability of X₁ being 1 (black) is 7/18.

(c) When the balls are selected with replacement, the probability of selecting a black ball remains constant at 12/19, regardless of the outcome of the second draw. Therefore, P(X₁ = 1 | X₂ = 1) = 12/19.

(d) When the balls are selected with replacement, the probability of selecting a black ball remains constant at 12/19, regardless of the outcome of the second draw. Therefore, P(X₁ = 1 | X₂ = 0) = 12/19.

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You are financing $250,000 for the purchase of the building.

The act of deleting items from a collection is represented by subtraction. Subtraction is denoted by the minus sign. For instance, supposing there are nine oranges stacked together (as indicated in the above image), four oranges are taken out and put in a basket, leaving nine – four oranges, or five oranges, in the stack.

To determine the amount you are financing, we subtract the down payment from the total cost of the building.

Total cost of the building: $350,000

Down payment: $100,000

Amount financed = Total cost of the building - Down payment

Amount financed = $350,000 - $100,000

Amount financed = $250,000

Therefore, you are financing $250,000 for the purchase of the building.

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If customer wants an investment with rate of return of 7%, then to meet customer's requirements, the security must cost $17.86.

In order to find the cost of the security that meets the customer's requirements, we use the Dividend Discount Model (DDM). The DDM calculates the present value of future dividend payments based on the required rate of return.

The formula to calculate the cost of security is:

Cost of Security is = (Dividend)/(Required Rate of Return),

Substituting the values,

We get,

Dividend = $1.25

Required Rate of Return = 7% or 0.07 (in decimal),

So, the Cost-of-Security is = ($1.25)/(0.07) ≈ $17.86.

Therefore, the security must cost $17.86, in order to meet the requirement of customer.

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After examining the August bank statement and associated items, the company's accountant discovered discrepancies that affected the balance in the Cash account. The initial balance was $18,800 before the bank reconciliation was conducted.

Bank reconciliations are essential to ensure the accuracy of a company's financial records. In this case, the accountant found variances between the company's records and the bank statement. These variances could be classified into two categories: outstanding checks and deposits in transit

Outstanding checks are checks that have been issued by the company but have not yet been presented to the bank for payment. These checks reduce the company Cash account balance since they have not been deducted from it. The accountant would need to identify the outstanding checks and subtract their total amount from the initial balance.

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Equation is needed to calculate the compounded interest is A = 6500(1.037)ˣ .

A = [tex]p(1+\frac{r}{n} )^{nt}[/tex]

Where

A = the future value of the investment

P = the principal amount (initial deposit)

r = the annual interest rate (expressed as a decimal)

n = the number of times the interest is compounded per year

t = x = the number of years

In this case, Freddy Mercury is opening an account that compounds interest annually, so n = 1.

Using the given information:

P = $6500 (initial deposit)

r = 3.7% = 0.037 (as a decimal)

Let's assume Freddy Mercury plans to keep the money in the account for x years.

The equation to calculate the compounded interest would be:

A = 6500(1 + 0.037)ˣ

Simplifying further, the equation would be:

A = 6500(1.037)ˣ

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The landlord has violated F.S. 83, which stands for Florida Statute 83, also known as the Florida Residential Landlord and Tenant Act. This violation specifically relates to the provision regarding security deposits.

According to F.S. 83, the landlord is required to provide the tenant with written notice of the specific location where the security deposit is being held within 30 days of receiving the deposit. In this scenario, the landlord informed the tenant of the bank where the deposit is being held three weeks later, which exceeds the 30-day requirement and therefore constitutes a violation of the statute.

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In the context of racial and ethnic relations, ethnocentrism refers to the tendency to regard one's own culture and group as the standard, and thus superior, whereas all other groups are seen as inferior. Ethnocentrism is a belief system rooted in the notion that one's own cultural practices, values, and beliefs are superior to those of others.

It often leads to prejudice, discrimination, and the marginalization of individuals or groups who do not conform to the dominant culture. This mindset can hinder intercultural understanding and perpetuate stereotypes and biases. Ethnocentrism can manifest in various ways, such as the imposition of cultural norms on others, the dismissal or devaluation of alternative perspectives, and the reinforcement of social hierarchies based on ethnicity or race. Overcoming ethnocentrism requires open-mindedness, empathy, and a willingness to learn and appreciate different cultures and perspectives. Promoting cultural diversity, inclusivity, and intercultural dialogue can help challenge ethnocentric attitudes and foster a more inclusive and equitable society.

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a. The equilibrium solution (y = 0) is stable.

b. The limit of [tex]\( y(t) \)[/tex] as [tex]\( t \)[/tex] approaches infinity is 0.

A function's derivative with respect to an independent variable is what is referred to as differentiation. In calculus, differentiation can be used to calculate the function per unit change in the independent variable. Let y = f(x) represent the function of x.

The nonlinear differential equation is given as:

[tex]\( \frac{{dy}}{{dt}} = -y^2 \)[/tex]

a) Classifying Equilibrium Solutions:

To find the equilibrium solutions, we set the derivative equal to zero:

[tex]\( -y^2 = 0 \)[/tex]

The only solution is (y = 0). Therefore, the equilibrium solution is (y = 0).

To classify the stability of the equilibrium solution, we examine the sign of the derivative [tex]\( \frac{{dy}}{{dt}} \)[/tex] around the equilibrium point.

For [tex]\( y < 0 \), \( \frac{{dy}}{{dt}} > 0 \)[/tex], indicating that the function is increasing and moving away from the equilibrium solution.

For [tex]\( y > 0 \), \( \frac{{dy}}{{dt}} < 0 \)[/tex], indicating that the function is decreasing and moving towards the equilibrium solution.

Hence, the equilibrium solution (y = 0) is stable.

b) Determining the Limit:

Given that [tex]\( y(0) = 2 \)[/tex], we need to determine the limit of [tex]\( y(t) \) as \( t \)[/tex] approaches infinity, if it exists.

The differential equation [tex]\( \frac{{dy}}{{dt}} = -y^2 \)[/tex] can be separated and solved:

[tex]\( \frac{{dy}}{{y^2}} = -dt \)[/tex]

Integrating both sides:

[tex]\( \int \frac{{dy}}{{y^2}} = -\int dt \)[/tex]

[tex]\( -\frac{1}{y} = -t + C \)[/tex]

Simplifying, we have:

[tex]\( \frac{1}{y} = t + C \)[/tex]

Rearranging the equation:

[tex]\( y = \frac{1}{t + C} \)[/tex]

Since we are given [tex]\( y(0) = 2 \)[/tex], we can substitute this into the equation to find the value of (C):

[tex]\( 2 = \frac{1}{0 + C} \)[/tex]

Solving for [tex]\( C \)[/tex], we get [tex]\( C = \frac{1}{2} \)[/tex].

Therefore, the solution to the differential equation is:

[tex]\( y = \frac{1}{t + \frac{1}{2}} \)[/tex]

Taking the limit as (t) approaches infinity:

[tex]\( \lim_{{t \to \infty}} \frac{1}{t + \frac{1}{2}} = 0 \)[/tex]

Hence, the limit of [tex]\( y(t) \)[/tex] as [tex]\( t \)[/tex] approaches infinity is 0.

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The option that summarizes a t-test that was significant and associated with a large effect size is: d. t(12) = 2.95, p < .05, d = .82

In this option, the t-value is 2.95, indicating a significant result. The p-value is less than .05, indicating that the result is statistically significant at the chosen significance level. Furthermore, the effect size is large, with a Cohen's d value of .82. A large effect size suggests a substantial difference between the groups being compared.

The summary presented in option d is as follows:

t(12) = 2.95, p < .05, d = .82

- t(12) represents the t-value and the degrees of freedom (df) associated with the t-test. In this case, the t-value is 2.95, indicating the magnitude of the difference between the groups being compared. The degrees of freedom is 12, which is determined by the sample size and the design of the study.

- p < .05 indicates the p-value, which is a measure of the probability of obtaining the observed results by chance alone. In this case, the p-value is less than .05, indicating that the difference observed is statistically significant at the .05 significance level.

- d = .82 represents the effect size, specifically Cohen's d. Effect size measures the magnitude of the difference between groups or the strength of the relationship between variables.

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Answer: (1, -2)

Step-by-step explanation:

3x-4y=11

y=-3x+1

3x-4(-3x+1)=11

3x+12x-4=11

15x=15

x=1

3-4y=11

-4y=8

y=-2

On average, customers will need to wait approximately 7.5 minutes at the fast food restaurant.

To determine the average wait time for customers at the fast food restaurant, we need to consider the rate at which customers exit the drive-through line and the average number of customers waiting in line.

Given:

Customers exit the drive-through line every 2.5 minutes.

On average, there are 3 customers waiting in line.

We can use Little's Law, which states that the average number of customers in a system is equal to the average arrival rate multiplied by the average time spent in the system.

Let's denote the average wait time as W.

According to Little's Law:

Average number of customers in the system = Average arrival rate × Average time spent in the system

The average number of customers in the system is 3 (the average number of customers waiting in line), and the average arrival rate is the rate at which customers exit the line, which is 1 customer every 2.5 minutes.

So we have:

3 = (1/2.5) × W

Simplifying the equation:

3 = 0.4 × W

To solve for W (the average wait time), we divide both sides of the equation by 0.4:

W = 3 / 0.4

W = 7.5

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Answer: B : 216

Step-by-step explanation:

a cube has 6 sides, so 36*6=216

The number of gallons required = 11.

Given that,

The figure consist of,

Rectangular faces and triangular faces

Width  = 13 ft

Length = 45 ft

Since we know that,

Area of rectangle = length x width  

                             =  45 x 13

                             = 585 square feet

Since it consist of four rectangular face therefore total area = 4 x 585

                                                                                                    =  2340 ft²

Since it is also given that,

h = 13 feet

Now area of triangle = (1/2)xbxh

                                  = 0.5x14x13

                                  = 91 square ft

Therefore,

Total area = 2340 + 91

                 = 2,431  ft²

Since it is given that,

one gallon of paint can cover 219 ft² area,

Thus,

The number of gallons required to paint the given figure,

⇒ 2,431 /219

⇒ 11.10

≈ 11 gallons.

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Using the figure, area of parallelogram = 60 square cm

The variable y = 10.39 cm

The formula for area of parallelogram is given by

= base * perpendicular height

From the figure,

the base =  6 cm

perpendicular height = 10 cm

area of parallelogram = 6 cm * 10 cm

area of parallelogram = 60 square cm

The length of side y is solved by Pythagoras theorem

y = √(12² - 6²)

y = √(108)

y = 10.39

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