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Answer Explanation:

Console X1: Yes (it is ratings-dominant over consoles XL and XZ)

Console XS: No (it is not ratings-dominant over any other console)

Console XZ: No (it is not ratings-dominant over any other console)

Answer Explanation:

Answer: 1993 | 0.6

According to the graph, approximately 12% of the tourists in 1993 stayed on the island for 7 days, and 50% stayed for 14 days. Thus, 62% (12% + 50% = 62%) of the tourists in 1993 stayed on the island for either 7 or 14 days. 

In 1998, 16% of tourists stayed 7 days and 25% stayed 14 days, for a combined total of 41% (16% + 25% = 41%) . 

In 2003, 22% of tourists stayed 7 days and 15% stayed 14 days, for a combined total of 37% ( 22% + 15% = 37%).

Therefore, the percentage of tourists who stayed for either 7 or 14 days is greater in 1993 (62%) than in 1998 (41%) or 2003 (37%), making the probability that a randomly chosen tourist stayed 7 or 14 days greatest in that year.

The first correct answer is 1993.

The second correct answer is 0.6 as the combined probability that a randomly chosen tourist that year stayed 7 or 14 days is 0.62, which rounded to the nearest tenth is 0.6.

Answer Explanation:

Answer:

Loan proceeds: 0.8n

Repayment amount: 1.00n 

In this question, the business borrows an amount up to 85% of their collateral assets value, but that loan amount is given to them after deducting the 20% interest upfront. This means, for a loan of amount 'n', the actual loan proceeds (amount received by the business) would be 'n - 0.2n' which equals '0.8n'.

And, when it comes to repayment, the business needs to pay back the original loan amount, which is 'n', regardless of the deducted interest.

Answer Explanation:

Answer:(B)

Statement (1):

This statement gives the probability of picking a blue marble, but leaves us with no information on the probability of picking an orange marble. This is insufficient.

Statement (1) ALONE is NOT sufficient.

Statement (2):

This statement provides the probability of picking a purple marble. Knowing that the only marbles in the basket are blue, purple, and orange, we can infer that the sum of the probabilities to pick a marble of each color is 1. Hence, P(purple) + P(blue) + P(orange) = 1. We can then subtract P(purple) from 1 to find P(blue) + P(orange). This is sufficient.

Statement (2) ALONE is sufficient. Hence, B.

Answer Explanation:

Answer: (D)

Since 

• each of the 6 digits that are given must appear in X or Y
• both of X and Y are 3-digit numbers

We know that no digit can appear in both X and Y. 

To find out the smallest possible difference X – Y, we first need to find the smallest possible difference of X - Y in the hundreds digits. 

There are 3 cases in which the difference in the hundreds column has the minimal value of 1:

• 9 – 8
• 6 – 5
• 2 – 1

In each case, when the remaining digits are used as the tens and units digits of X and Y, the value of X should be least and the value of Y should be greatest.

Case 1: If the hundreds digits of X and Y are 9 and 8, respectively, then
X – Y = 912 – 865 = 47.

Case 2: If the hundreds digits of X and Y are 6 and 5, respectively, then
X – Y = 612 – 586 = 26.

Case 3: If the hundreds digits of X and Y are 2 and 1, respectively, then
X – Y = 256 – 198 = 58.

Thus, the smallest positive difference between X and Y is 26.

The correct answer is (D).

Answer Explanation:

Answer: (D)

Let's denote:

• x as the number of tickets sold at $2.00
• y as the number of tickets sold at $3.00
• z as the number of tickets sold at $4.00

From the problem, we can form the following equations:

1. x + y + z= 800 (Total number of tickets)
2. y=1/4 ∗ 800 = 200 (1/4 of the tickets were sold at $3.00)
3. 2.00x + 3.00y + 4.00z = 2600 (Total sale was $2,600)

We can substitute y from equation 2 into equation 1 

x + 200 + z = 800
x + z = 600

W can substitute y from equation 2 into equation 3:

2.00x + 3.00∗200 + 4.00z = 2600
2.00x + 600 + 4.00z = 2600
2.00x + 4.00z = 2000
x + 2z = 1000

So we get the following two equations

1. x + z = 600
2. x + 2z = 1000

Let's multiply the first equation by 2.00:

1. 2x + 2z = 1200
2. x + 2z = 1000

Now subtract this first equation from the second equation:

\( \frac { \begin{aligned} 2x+2z &= 1200\\ x+2z &= 1000 \end{aligned} } {x = 200} \ - \)

Finally, solve for z by putting x = 200 into the equation “x + z = 600”

200 + z = 600

z=400

So, 400 tickets were sold at $4.00 per seat. Hence, the correct answer is (D) 400.

Answer Explanation:

Answer: (B)

In the given argument, it is stated that Ylivar's electric vehicle has a 40 percent longer range than Xellis' electric vehicle and is particularly suitable for the growing demand among German's urban commuters. Additionally, the government of German has proposed implementing stricter emission standards, which requires electric vehicles to surpass the current emissions threshold by at least 50 percent. Due to this, Xellis may struggle to upgrade its electric vehicle to meet the new standards.

To support the conclusion that Ylivar's electric vehicle is expected to experience robust sales in Germany, there must be an assumption made. The assumption is the missing link that ensures the conclusion follows logically from the premises.

Let's evaluate the other answer choices and see why they are not correct:

(A) The government of German will successfully implement the proposed stricter emission standards within the next three years. This answer choice assumes the successful implementation of the proposed standards, but it does not directly relate to Ylivar's electric vehicle being the best option in the market to meet those standards. It is an assumption, but it doesn't address the core of the argument.

(B) Ylivar's electric vehicle is the only electric vehicle in Elterra that can meet the proposed emission standards.  (Correct).The answer is (B) because it assumes that Ylivar's electric vehicle is the only electric vehicle in Germany that can meet the proposed emission standards. This assumption is important for the argument's conclusion to make sense. If there are other electric vehicles available in Germany that can also meet the emission standards, then Ylivar's vehicle may face competition and its expected robust sales may not be guaranteed. However, by assuming that Ylivar's electric vehicle is the only one that meets the emission standards, it strengthens the argument's claim that Ylivar will have a competitive advantage and will likely have strong sales in Germany.

(C) The demand for electric vehicles among German's urban commuters will continue to grow in the coming years. This answer choice talks about the demand for electric vehicles, but it does not directly impact whether Ylivar's electric vehicle will experience robust sales due to the new standards. It is not a critical assumption for the argument.

(D) Xellis will not be able to modify its electric vehicle to meet the new emission standards set by the government of Elterra. This answer choice comes close to being a relevant assumption, but it focuses on Xellis' ability to modify its vehicle rather than whether Ylivar's electric vehicle can meet the standards. The argument's main concern is whether Ylivar's electric vehicle is the only one capable of meeting the new emission standards.

(E) The higher price of Ylivar's electric vehicle compared to Xellis will not deter customers in Elterra from choosing the longer-range and more environmentally friendly option. While the price difference may be a concern, the argument is specifically centered around Ylivar's electric vehicle being able to meet the proposed emission standards. The assumption needs to address the vehicle's capability to meet those standards, not customer preferences based on price and features.