emily earned a score of 550 on exam a that had a mean of 450 and a standard deviation of 100. she is about to take exam b that has a mean of 350 and a standard deviation of 50. how well must emily score on exam b in order to do equivalently well as she did on exam a? assume that scores on each exam are normally distributed.

Step-by-step explanation:

Based on the given information:

Side b = 5 cm

Angle A = 64 degrees

Angle B = 38 degrees

To solve for the missing values, we can use the Law of Sines and the Law of Cosines.

a. To find side a using the Law of Sines:

We can use the formula: sin(A) / a = sin(B) / b

sin(64°) / a = sin(38°) / 5

To solve for a, we can rearrange the equation:

a = (sin(64°) * 5) / sin(38°)

b. To find side c using the Law of Cosines:

We can use the formula: c^2 = a^2 + b^2 - 2ab * cos(C)

First, we need to find angle C using the fact that the sum of angles in a triangle is 180 degrees:

C = 180° - A - B

C = 180° - 64° - 38°

Once we have angle C, we can substitute the known values into the Law of Cosines equation:

c^2 = a^2 + b^2 - 2ab * cos(C)

Now, we can solve for c.

c. To find angle C using the Law of Sines:

We can use the formula: sin(C) / c = sin(A) / a

sin(C) / c = sin(64°) / a

To solve for angle C, we can rearrange the equation:

C = arcsin((sin(64°) * c) / a)

Please note that the specific calculations will depend on the values of a, c, and the trigonometric functions used.

To determine the amount of deductions for Adjusted Gross Income (AGI) required to equal the tax benefit of a $650 child care credit, the couple's marginal tax rate of 24% needs to be considered.

A tax credit directly reduces the tax liability, while deductions for AGI reduce the taxable income. In this case, the tax benefit of the $650 child care credit is equivalent to the tax savings it provides. Since the couple is in the 24% marginal income tax bracket, the deductions for AGI need to be calculated to generate the same tax savings.

To determine the required deductions for AGI, we divide the child care credit by the marginal tax rate. In this case, $650 divided by 0.24 (24%) equals $2,708.33. Therefore, Troy and Myrna would need deductions for AGI amounting to $2,708.33 to equal the tax benefit of the $650 child care credit. It's important to note that this calculation assumes a simple scenario and doesn't take into account other variables, such as phase-outs or other tax considerations that may affect the actual amount of deductions required.

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I will be traveling by round trip airfare, staying at a comfortable hotel, and dining at different local restaurants each day. In terms of activities, I have chosen four museums and local attractions to visit, considering their entrance fees.

For my trip, I have allocated a budget for travel expenses. The round trip airfare will cost approximately $800 USD. Upon arriving at my destination, I will be staying at a hotel, which will cost around $120 USD per night, totaling $840 USD for the week. To truly experience the local culture, I plan on dining at different restaurants each day. Considering an average cost of $30 USD per meal, this amounts to $210 USD for dining throughout the week.

In terms of activities, I have selected four museums and local attractions to explore. The entrance fee for each museum is estimated to be around $15 USD, resulting in a total cost of $60 USD. Additionally, I plan to visit local attractions that do not require an entrance fee. These places will allow me to immerse myself in the city's four ambiance and enjoy its vibrant atmosphere without any extra cost.

To ensure I have enough local currency for my trip, I used an online currency converter to determine the exchange rate. At the time of planning, 1 USD is equivalent to 0.85 Euros. This information helped me calculate the costs in both USD and the local currency, providing a clear overview of my expenses.

Overall, this trip offers a balance between exploring cultural landmarks, savoring authentic cuisine, and experiencing the local way of life. By carefully considering the costs and planning ahead, I can ensure a memorable and enjoyable vacation in a French-speaking destination.

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Stephen A. Douglas proposed the use of popular sovereignty to determine the issue of slavery in the Kansas-Nebraska scheme, allowing the residents of each territory to decide for themselves whether to permit slavery.

Stephen A. Douglas, a prominent politician and U.S. Senator, put forth the Kansas-Nebraska Act in 1854. The act aimed to organize the territories of Kansas and Nebraska, but it also ignited intense debates regarding the expansion of slavery into these regions. Douglas proposed that the issue of slavery in these territories should be decided by popular sovereignty, a principle that advocated for the residents of the territories to vote and determine their own stance on slavery.

Under this proposal, the residents of Kansas and Nebraska would have the authority to choose whether to allow or prohibit slavery within their borders. However, this plan effectively disregarded the Missouri Compromise of 1820, which had previously prohibited slavery in territories north of a certain latitude. As a result, the Kansas-Nebraska Act generated significant controversy and contributed to the deepening divisions between pro-slavery and anti-slavery factions in the United States, ultimately fueling tensions that would lead to the American Civil War.

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Answer:

1. x > 5

2. y ≤ -3

3. 2x + 3y ≥ 10

4. -4x < 8

5. 3y - x ≤ 2

6. x + y > 7

7. -2x ≤ 6

8. y > 0

9. 5x - 2y ≥ -10

10. x - y < 4

Each number is multiplied by 3 by the previous number.

So:

So, for the next number :

18,9 × 3 = 56,7

That's it. Thanks ^^

The effective interest rate for a $90,000 loan on the $150,000 line of credit from Uno Industrial Supply, considering a 1 percent compensating balance, is 5.92 percent.

To calculate the effective interest rate, we need to consider the impact of the compensating balance requirement. A compensating balance is the portion of the loan amount that the borrower must maintain in an interest-free account as a condition of borrowing. In this case, the compensating balance is 1 percent of the total amount borrowed.

First, we calculate the compensating balance by multiplying $90,000 (the amount borrowed) by 1 percent, which gives us $900. This $900 must be maintained in an interest-free account.

Next, we calculate the effective interest rate by taking into account the interest paid on the loan amount and the interest forgone on the compensating balance. The interest paid on the loan amount is 5.518 percent of $90,000, which is $4,951.20.

To determine the interest forgone on the compensating balance, we multiply the compensating balance ($900) by the interest rate (5.518 percent), which gives us $49.62.

Now, we subtract the interest forgone on the compensating balance from the interest paid on the loan amount: $4,951.20 - $49.62 = $4,901.58

Finally, we calculate the effective interest rate by dividing the net interest paid ($4,901.58) by the amount borrowed ($90,000) and multiplying by 100: ($4,901.58 / $90,000) * 100 = 5.45 percent.

Therefore, the effective interest rate for a $90,000 loan on the $150,000 line of credit from Uno Industrial Supply, considering the 1 percent compensating balance, is 5.92 percent.

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The numbers in the G P are 40, 20, and 10. with

a = 40 and r = 1/2

The geometric progression (GP) is assumed to be

a, ar, and ar²

where

a + ar + ar² = 70

multiplying the two extreme terms by 4

4a and 4ar^2

multiplying  the geometric mean of the three terms by 5

5∛(a * ar * ar²) = 5ar

forming the arithmetic progression (AP)

4a, 5ar, 4ar² in A.P

solving the equations to find the values of a and r

a + ar + ar² = 70

a(1 + r + r²) = 70

From the A.P. condition (the average of the AP)

2(5ar) = 4a + 4ar²

10ar = 4a + 4ar²

4ar² - 10ar + 4a = 0

dividing both sides by 2a:

2r² - 5r + 2 = 0

factoring the quadratic equation

(2r - 1)(r - 2) = 0

Solving for r:

2r - 1 = 0 then r = 1/2

or

r - 2 = 0 then r = 2

solving for a

For r = 1/2

a(1 + 1/2 + 1/2²) = 70

a(7/4) = 70

a = 40

For r = 2:

a(1 + 2 + 2²) = 70

a(6) = 70

a = 11.667

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The cytoskeletal structure composed of actin and involved in regulating cell shape, cell movement, and muscle contraction is called the actin cytoskeleton.

The actin cytoskeleton is a fundamental component of the cytoskeleton, a network of protein filaments within cells that provides structural support and plays essential roles in cellular processes. Actin filaments, also known as microfilaments, are polymers of actin protein subunits and form the main component of the actin cytoskeleton.

The actin cytoskeleton is involved in various cellular functions. It plays a crucial role in determining cell shape by providing structural support and contributing to the maintenance of cell integrity. Actin filaments are also responsible for generating the forces required for cell movement, including crawling, amoeboid movement, and migration of cells during processes such as wound healing.

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The probability of the spinner stopping on purple and the cube showing nine is  0.The probability of the cube showing nine is 0 it is impossible for both events to occur simultaneously.

To find the probability that the spinner will stop on purple and the cube will show nine, we need to know the number of outcomes on the spinner and the number of outcomes on the cube.

Let's assume that the spinner has four equally likely outcomes: red, blue, green, and purple. And let's assume that the number cube has six equally likely outcomes: 1, 2, 3, 4, 5, and 6.

Since the probability of each outcome is equal, we can calculate the probability of both events occurring by multiplying the probabilities of each event.

The probability of the spinner stopping on purple is 1 out of 4, or 1/4.

The probability of the cube showing nine is 0 out of 6 because the cube only has numbers 1 to 6, and none of them is nine.

Therefore, the probability of the spinner stopping on purple and the cube showing nine is 1/4 × 0 = 0.

In this case, the probability is 0, meaning it is impossible for both events to occur simultaneously.

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The approach that is only as good as the assumptions regarding the stiffness or shear walls and diaphragms relative to the actual stiffness of a complete building system is the simplified or approximate method.

In structural engineering, when analyzing the behavior and response of a building system to external loads, two commonly used methods are the approximate method and the more rigorous method, such as finite element analysis. The approximate method simplifies the structural analysis by making certain assumptions and approximations to facilitate calculations. However, these assumptions can introduce uncertainties and limitations in accurately predicting the behavior of the building system. One critical assumption in the approximate method is the distribution of stiffness within the building system, particularly in terms of shear walls and diaphragms. The accuracy of the results heavily relies on how well these assumed stiffness values represent the actual stiffness of the complete building system. If the assumptions regarding the stiffness or shear walls and diaphragms significantly deviate from the actual behavior, the results obtained from the approximate method may be less reliable and less representative of the true response of the structure. Therefore, the accuracy of the approach is highly dependent on the assumptions made regarding the stiffness distribution within the building system.

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Answer:

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

Use the formula for the union of two sets:

In this case, we have:

Plugging these values into the formula:

Now, solve for |A ∩ B| (the number of elements in common):

So, sets A and B have 32 elements in common.

The EMS induce a transition type of mutation. Thus, option a. is correct.

EMS stands fοr Emergency Medical Services. It refers tο a system that prοvides emergency medical care and transpοrtatiοn tο individuals whο are in need οf immediate medical attentiοn. EMS typically invοlves a cοοrdinated effοrt amοng variοus healthcare prοfessiοnals, including emergency medical technicians (EMTs), paramedics, and emergency physicians.

EMS plays a critical rοle in respοnding tο medical emergencies, accidents, and οther urgent situatiοns. The primary gοals οf EMS are tο assess and stabilize patients, prοvide necessary medical treatment οn-site οr during transpοrtatiοn, and ensure prοmpt delivery tο an apprοpriate healthcare facility fοr further care.

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The structures indicated by the map patterns of Mesozoic (green) and Cenozoic (yellow) rocks can provide insights into the geological history and tectonic activity of the area.

The presence of linear or curvilinear patterns in the map may suggest the occurrence of faults or fractures in the rocks. Faults are fractures along which rocks on either side have moved relative to each other. These structures can be associated with the movement of tectonic plates and the deformation of the Earth's crust.

Additionally, the map patterns may reveal the presence of folds in the rocks. Folds are bending or flexing of rock layers caused by compressional forces in the Earth's crust. They can result in the formation of anticlines (upward folds) and synclines (downward folds) that can be observed in the map patterns.

The interpretation of the map patterns in terms of specific structures requires careful analysis and additional geological data. Field observations, cross-sections, and geophysical techniques are often employed to gain a better understanding of the geological structures present in the area.

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Answer:

  f(x), h(x), g(x)

Step-by-step explanation:

You want the functions listed in order of their average rate of change on the interval [3, 5], least to greatest.

The functions are all being compared on the same interval, so we can look only at the amount of change, rather than going to the trouble to compute the rate of change.

  f(5) -f(3) = (-8) -(0) = -8

  g(5) -g(3) = 15 -9 = 6

  h(5) -h(3) = 8 -6 = 2

Listed in order of increasing rate of change on [3, 5], the functions are ...

  f(x), h(x), g(x)

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The objective of keyword bidding is to d. get the best ranking for the lowest cost.

Keyword bidding is a practice used in online advertising, specifically in pay-per-click (PPC) campaigns, where advertisers bid on specific keywords to display their ads in search engine results. The objective of keyword bidding is to achieve the best possible ranking for their ads while keeping the cost as low as possible.

Option (a), obtaining the most profitable domain name, is not related to keyword bidding. Domain names refer to the website address or URL and are not directly associated with keyword bidding.

Option (b), limiting the amount of money the firm spends on search marketing, is partially correct but not the primary objective. While controlling costs is important, the main goal of keyword bidding is to optimize the ranking and visibility of ads.

Option (c), always being ranked first, is not feasible for every advertiser. Search engine rankings are determined by various factors, including bid amount, quality score, and relevance. It is not guaranteed that an advertiser will always secure the top position.

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The interest practice described in the question is known as "bundling." Bundling refers to the act of combining individual campaign contributions from multiple sources into a single larger contribution from a group or organization.

Bundling allows interest groups or individuals to pool their resources and present a more substantial contribution to a candidate. By consolidating smaller contributions into a larger sum, bundlers can demonstrate greater financial support and influence.

This practice is often employed by special interest groups, lobbyists, or individuals with shared political objectives who want to maximize their influence on the political process. Bundlers can leverage their collective financial power to gain access to candidates, shape policy agendas, and potentially gain favorable treatment or influence over decision-making.

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Market power exists when a company can sell its products at prices that are higher than the market average or when its costs are lower than those of its primary rival.

Market power is a company's relative capacity to influence the market price of a product by influencing supply, demand, or both. Producers must be price takers in markets with perfect or near-perfect competition because they have little pricing power.

Cutthroat valuing is the method involved with choosing key costs to best exploit an item or administration based market comparative with the opposition.

A cutthroat valuing technique permits organizations to keep a benefit by decisively setting costs above, underneath, or equivalent to their immediate rivals. Pricing based on competition can be very effective, but not all businesses should use it.

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Answer:

VZ = 18

Step-by-step explanation:

If XY || WZ, triangles VYX and

VZW are similar due to having 3 angles with same measurements. Similar figures’ corresponding sides can be found via the common ratio between the sides:

VZ/(36+VZ)= 24/72

VZ/(36+VZ) = 1/3

VZ = (36+VZ)/3

VZ = 12 + VZ/3

3VZ/3 - VZ/3 = 12

2VZ/3 = 12

VZ = 12 * 3/2

VZ = 18

Based on the evidence provided, it is not possible to determine with certainty whether increasing Ads by $1 would result in a $8.90 increase in total sales.

However, intuitively, it is unlikely that the increase in total sales would precisely match the increase in Ads. The given information does not provide a direct relationship between the increase in Ads and the corresponding change in total sales. Without more specific data or interest, it is difficult to determine the exact impact of increasing Ads by $1 on total sales.

Intuitively, it is unlikely that the increase in total sales would be exactly $8.90 for every $1 increase in Ads. Sales are influenced by various factors such as market demand, customer preferences, competition, and overall marketing strategy. The relationship between Ads and total sales is typically complex and can be influenced by multiple variables.

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If Mei Mei is organizing textbooks on her bookshelf.  Mei Mei can line up the textbooks in 24 different ways on her bookshelf.

We must compute the factorial of the total number of textbooks in order to discover how many various ways Mei Mei can arrange them on her bookshelf.

The four textbooks Mei Mei possesses are in Spanish, arithmetic, history, and writing.

She may arrange the textbooks in a total of four factorials (4! ), which are computed as:

4! = 4 x 3 x 2 x 1 = 24

Therefore Mei Mei can line up the textbooks in 24 different ways on her bookshelf.

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The labor efficiency variance for the month can be calculated by comparing the standard labor hours allowed for the actual output to the actual labor hours worked. The labor efficiency variance for the month is 1,780 hours.

The labor efficiency variance is a measure of the efficiency of labor utilization in the production process. It reflects the difference between the standard labor hours allowed for the actual output and the actual labor hours worked. To calculate the labor efficiency variance, we need to determine the standard labor hours allowed for the actual output and subtract the actual labor hours worked.

In this case, the standard labor hours per unit of output is given as 8.4 hours, and the actual output for the month is 950 units. Therefore, the standard labor hours allowed for the actual output would be 8.4 hours/unit * 950 units = 7,980 hours.

The actual labor hours worked are given as 6,200 hours. To calculate the labor efficiency variance, we subtract the actual labor hours worked from the standard labor hours allowed for the actual output:

Labor Efficiency Variance = Standard labor hours allowed - Actual labor hours worked

= 7,980 hours - 6,200 hours

= 1,780 hours

The labor efficiency variance for the month is 1,780 hours. This indicates that the actual labor hours used were less than the standard labor hours allowed for the actual output, suggesting an efficiency gain in labor utilization.

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The apple's volume is approximately 3369.3 cm³.

How can we estimate the volume of an object using the model of a sphere and the measurement of its radius?

By modeling the object as a sphere and measuring its radius, we can use the formula for the volume of a sphere,[tex]V =\frac{4}{3} \pi r^3[/tex], to estimate the volume of the object.

The volume of a sphere can be calculated using the formula:

Volume =[tex]\frac{4}{3} \pi r^{3}[/tex]

Given that the radius of the apple is 9.3 cm, we can substitute this value into the formula:

Volume =[tex]\frac{4}{3}\pi (9.3)^3[/tex]

Calculating this expression gives us:

Volume ≈ 3369.28 cm³

Rounding this value to the nearest tenth, the apple's volume is approximately 3369.3 cm³.

Therefore, the apple's volume is approximately 3369.3 cm³.

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If a corporation's subsidiary buys a component part from another of the corporation's subsidiaries, then the corporation should keep in mind the distorting effect of production process when setting budgets and reviewing the subsidiary's performance.

Let's consider a simplified example to illustrate the distorting effect of intercompany transactions on budgets and performance evaluations. Suppose there is a corporation with two subsidiaries: Subsidiary A, which produces a component part, and Subsidiary B, which purchases that component part for its own production process.

Subsidiary A incurs a production cost of $10 per unit to manufacture the component part. Now, when setting the transfer price, the corporation needs to consider factors such as market conditions, external prices, and the subsidiary's costs. Let's say the transfer price is set at $15 per unit, which is higher than Subsidiary A's production cost.

To address this distorting effect, the corporation should carefully analyze the transfer pricing policies and the fairness of cost allocations between subsidiaries.

Objective and transparent transfer pricing methods, along with consistent cost allocation methodologies, can help mitigate the distortions caused by intercompany transactions and ensure accurate budgeting and performance evaluations across subsidiaries.

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This is an example of an investment strategy.

This is an example of an investment strategy based on the adviser's anticipation of an economic slowdown and belief that sit-down chain restaurants will underperform. The adviser sells the stocks of sit-down chain restaurants from the mutual fund's portfolio and converts them into cash, with the intention of reinvesting the proceeds in other assets or sectors that are expected to perform better during the economic slowdown.

By selling the stocks and holding cash, the adviser aims to protect the mutual fund's assets from potential losses if the sit-down chain restaurant stocks decline in value. This strategy allows the adviser to reassess the market conditions and seek potential investment opportunities that align with their outlook for the economic slowdown.

It's important to note that this example assumes the adviser's foresight and analysis accurately predicts the economic slowdown and the underperformance of sit-down chain restaurants. However, investment decisions based on future market predictions always carry a certain level of risk, as the market can be unpredictable and outcomes may differ from expectations.

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Answer:

Step-by-step explanation:

its easu

The probability that at most eleven of the thirteen babies are girls 4089/4096. Option D

To calculate the probability that at most eleven of the thirteen babies are girls, we need to consider all possible combinations of boys and girls among the thirteen babies.

The total number of possible outcomes is [tex]2^{13}[/tex] because each baby has two possible genders (boy or girl) and there are thirteen babies in total.

To find the probability of at most eleven girls, we can sum the probabilities of having zero, one, two, ..., eleven girls among the thirteen babies.

Using the binomial probability formula, the probability of getting exactly k girls in a group of thirteen babies is given by:

P(k girls) = (13 choose k) *[tex](1/2)^k[/tex] * [tex](1/2)^{(13-k)}[/tex]

To find the probability of at most eleven girls, we sum the probabilities for k = 0 to 11:

P(at most 11 girls) = P(0 girls) + P(1 girl) + P(2 girls) + ... + P(11 girls)

Calculating this sum, we find that the probability of at most eleven girls among the thirteen babies is:

P(at most 11 girls) = 11/2048 + 13/4096 + 13/4096 + 11/2048 + 429/8192 + 429/8192 + 143/4096 + 143/4096 + 33/1024 + 33/1024 + 3/128 + 3/128

Simplifying the expression, we get:

P(at most 11 girls) = 4089/4096

Therefore, the correct answer is option D: 4089/4096.

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The function f(x) = x² - 1/x + 1, with domain [0, ∞), does not have an absolute maximum on its domain, but this does not contradict the extreme value theorem.

The extreme value theorem states that if a real-valued function f is continuous on a closed interval [a, b], then f must have both an absolute maximum and an absolute minimum on that interval.

However, the theorem does not apply to functions that have an open interval as their domain, such as f(x) = x² - 1/x + 1 with a domain of [0, ∞).

In this case, f(x) approaches infinity as x approaches 0, but it does not have a maximum value within the given domain. The lack of an absolute maximum for f(x) on [0, ∞) is consistent with the behavior of the function, and it does not violate the extreme value theorem since the domain is not a closed interval.

Therefore, the function f(x) = x² - 1/x + 1, defined on [0, ∞), lacks an absolute maximum, but this does not violate the extreme value theorem.

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Rex and Spicy Pizza, after partially performing the contract, may rescind their entire contract or their contract to the extent that it is executory.

Rescission refers to the cancellation or termination of a contract. In this scenario, Rex and Spicy Pizza have both expressed their desire to cancel the contract after partially performing it. The parties have two options for rescinding the contract. First, they can rescind their entire contract, which means they nullify the entire agreement and both parties are released from their obligations. Alternatively, they can rescind the contract to the extent that it is executory, meaning they cancel the remaining unperformed obligations while preserving the rights and duties that have already been fulfilled. The specific choice between these options would depend on the mutual agreement and circumstances of the contract between Rex and Spicy Pizza.

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The table and a pie chart to represent this information is shown below.

For the total number of people based on their favourite colour, we have the following:

Total number of people = 30 + 10 + 50 + 10

Total number of people = 100.

Next, we would determine the angles based on their favourite colour as follows;

Red

30/100 × 360 = 108°

Blue

10/100 × 360 = 36°

Green

50/100 × 360 = 180°

Yellow

10/100 × 360 = 36°

Therefore, the table should be completed as follows;

Colour              Frequency              Angle in degrees.

Red                      30                              108°

Blue                      30                              36°

Green                   30                              180°

Yellow                   30                              36°

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.