in order to get into abc university you need to score in the top 2.5% of its placement test. the test results are normally distributed with a mean of 467 pts and a standard deviation of 36 pts. what is the minimum scored needed in order to get into abc university? note: round your answer to the nearest whole number?

Answer:

approximately

7.335695

Economists use the method of dividing a whole group into fifths, or quintiles, to study income distribution in an economy.

When economists study income distribution in an economy, they often analyze the income distribution among different segments of the population. One commonly used method is dividing the entire group into fifths, or quintiles, based on income levels. Each quintile represents 20% of the population, and economists analyze the distribution of income within each quintile to understand how wealth is distributed across different segments of society.

This method allows economists to examine various measures such as average income, median income, and income inequality within each quintile. By studying income distribution in quintiles, economists can gain insights into the level of inequality or fairness in an economy and identify patterns and trends related to income disparities.

Dividing a whole group into quintiles provides a systematic and standardized way to analyze income distribution and compare it across different regions, time periods, or socioeconomic groups. It helps economists to assess the effectiveness of policies and programs aimed at reducing income inequality and promoting a more equitable distribution of wealth.

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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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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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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

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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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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We're given:

To determine the number of shirts that have not yet been folded, we have the following equation:

[tex]n=19-f[/tex]

If Omar had folded 9 shirts, we can solve for n given f = 9:

[tex]n=19-9\\n=10[/tex]

Therefore, Omar has 10 shirts left to fold.

Therefore, there are 8^13 ways for Felicity to make her candy bar selection at the grocery store.

To calculate the number of ways Felicity can make her selection, we need to consider that she can choose from the available varieties of candy bars. Since there are 8 varieties in total, she has 8 options for the first candy bar. Similarly, for the second candy bar, she still has 8 options since she can choose from the same varieties again. This process continues for all 13 candy bars.

To find the total number of ways, we multiply the number of options for each candy bar together. Since each candy bar is chosen independently, the total number of ways Felicity can make her selection is calculated as 8 multiplied by itself 13 times (8^13). This yields a large number of possible combinations, representing the various ways she can choose candy bars from the available varieties.

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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.

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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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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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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By using Law of Sines, the side b and a when A = 37°, B = 49°,c=5, and A = 132", C = 23, b = 10 is b ≈ 4.09 and a ≈ 19.66 respectively.

To use the Law of Sines to solve for the missing side in an oblique triangle, we can use the following formula:

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

Let's solve each problem using the Law of Sines:

Find side b when A = 37°, B = 49°, c = 5.

We know angle A, angle B, and side c. We need to find side b.

b/sin(B) = c/sin(C)

b/sin(49°) = 5/sin(180° - 37° - 49°)

b/sin(49°) = 5/sin(94°)

Cross-multiplying:

b * sin(94°) = 5 * sin(49°)

b = (5 * sin(49°)) / sin(94°)

b ≈ 4.09

Therefore, side b ≈ 4.09 (rounded to the nearest hundredth).

Find side a when A = 132°, C = 23, b = 10.

We know angle A, angle C, and side b. We need to find side a.

a/sin(A) = b/sin(B)

a/sin(132°) = 10/sin(180° - 132° - 23°)

a/sin(132°) = 10/sin(25°)

Cross-multiplying:

a * sin(25°) = 10 * sin(132°)

a = (10 * sin(132°)) / sin(25°)

a ≈ 19.66

Therefore, side a ≈ 19.66 (rounded to the nearest hundredth).

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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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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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Charles Revson's statement refers to the augmented level of the product among the three levels of the product concept.

The product concept consists of three levels: core product, actual product, and augmented product. The core product represents the fundamental benefit or service that the customer is seeking. The actual product is the tangible product itself, including its features, design, and packaging. The augmented product includes additional services or benefits that enhance the customer experience beyond the core and actual product.

Charles Revson's remark, "In the factory, we make cosmetics; in the store, we sell hope," suggests that he recognized the importance of going beyond the physical cosmetics and offering intangible benefits to customers. He understood that customers are not only buying a physical product but also seeking emotional and psychological satisfaction. By emphasizing the emotional experience and the hope that customers would feel when using Revlon cosmetics, Revson was highlighting the augmented level of the product.

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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 task described involves the use of selective attention.

The task described, where Fred is asked to keep his eyes fixed on a cross in the middle of the screen and press a button when a word appears in place of the cross, requires the utilization of selective attention. Selective attention refers to the cognitive process of focusing on specific stimuli while ignoring others. In this case, Fred needs to selectively attend to the appearance of a word while disregarding other visual stimuli on the screen.

Selective attention allows individuals to filter and prioritize relevant information from the environment while minimizing distractions. By keeping his eyes fixed on the cross and waiting for the appearance of a word, Fred is engaging in a form of visual selective attention. This task requires him to direct his attention to a specific location on the screen and monitor it for the presence of the target stimulus (the word).

Selective attention plays a crucial role in everyday tasks, as it helps individuals allocate their cognitive resources efficiently. By focusing on relevant stimuli and filtering out distractions, selective attention enables individuals to process information more effectively and respond appropriately to specific cues or events.

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Answer: B : 216

Step-by-step explanation:

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

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

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)

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 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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Let's denote the length of side QR as q, the length of side RS as r, the length of side SJ as s, and the length of side LK as l. We can set up the following equations based on the given information:

Perimeter of triangle QRS: q + r + s = 23   ----(1)

Perimeter of triangle LJK: l + j + k = 92   ----(2)

Since we are looking for the value of x, which is the length of side JK, we need to express it in terms of q, r, s, l, j, and k. Based on the given information, we can infer that side JK is equal to the sum of the other sides in each triangle.

x = q + r + s     ----(3)

x = l + j + k     ----(4)

Now, let's solve the equations (1) and (2) simultaneously to find the values of q, r, s, l, j, and k.

From equation (1), we can express s in terms of q and r:

s = 23 - q - r

Substituting this into equation (4), we have:

x = l + j + (23 - q - r)   ----(5)

Now, let's substitute the expression for x from equation (5) into equation (2):

l + j + k = 92

l + j + (23 - q - r) = 92

Rearranging this equation, we get:

l + j - q - r = 69   ----(6)

Now, we have two equations:

x = l + j + (23 - q - r)   ----(5)

l + j - q - r = 69   ----(6)

Since both equations involve x, l, j, q, and r, we can combine them to eliminate l, j, q, and r.

From equation (5), we have:

x = l + j + (23 - q - r)

x = (l + j - q - r) + 23

Substituting equation (6) into this equation:

x = 69 + 23

x = 92

Therefore, the value of x is 92.

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Let's denote the length of side QR as q, the length of side RS as r, the length of side SJ as s, and the length of side LK as l. We can set up the following equations based on the given information:

Perimeter of triangle QRS: q + r + s = 23   ----(1)

Perimeter of triangle LJK: l + j + k = 92   ----(2)

Since we are looking for the value of x, which is the length of side JK, we need to express it in terms of q, r, s, l, j, and k. Based on the given information, we can infer that side JK is equal to the sum of the other sides in each triangle.

x = q + r + s     ----(3)

x = l + j + k     ----(4)

Now, let's solve the equations (1) and (2) simultaneously to find the values of q, r, s, l, j, and k.

From equation (1), we can express s in terms of q and r:

s = 23 - q - r

Substituting this into equation (4), we have:

x = l + j + (23 - q - r)   ----(5)

Now, let's substitute the expression for x from equation (5) into equation (2):

l + j + k = 92

l + j + (23 - q - r) = 92

Rearranging this equation, we get:

l + j - q - r = 69   ----(6)

Now, we have two equations:

x = l + j + (23 - q - r)   ----(5)

l + j - q - r = 69   ----(6)

Since both equations involve x, l, j, q, and r, we can combine them to eliminate l, j, q, and r.

From equation (5), we have:

x = l + j + (23 - q - r)

x = (l + j - q - r) + 23

Substituting equation (6) into this equation:

x = 69 + 23

x = 92

Therefore, the value of x is 92.

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Answer:

24,960

Step-by-step explanation:

trust me

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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If Bo earned a score of 450 on Exam A that had a mean of 400 and a standard deviation of 50. Bo must score 86 on Exam B in order to do equivalently well as he did on Exam A.

Exam A:

Bo's score: 450

Mean: 400

Standard Deviation: 50

To calculate the z-score for Bo's score on Exam A:

z = (x - μ) / σ

z = (450 - 400) / 50

z = 50 / 50

z = 1

Bo's z-score for Exam A is 1.

Now let's find the raw score for Exam B that corresponds to a z-score of 1.

Exam B:

Mean: 66

Standard Deviation: 20

Using the formula:

z = (x - μ) / σ

Let plug in the formula by solving for x:

x = z * σ + μ

x = 1 * 20 + 66

x = 20 + 66

x = 86

Therefore Bo must score 86 on Exam B.

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