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riadik2000 [5.3K]
3 years ago
9

11. How many different ways can the 16 numbered pool balls be placed in a line on the pool table?

Mathematics
1 answer:
nikklg [1K]3 years ago
7 0

Answer:

The number of ways are 16! or 20,922,789,888,000.

Step-by-step explanation:

Consider the provided information.

We need to determine the number of different ways 16 numbered pool balls be placed in a line on the pool table.

For the first place we have 16 balls.

For the second place we have 15 balls left.

Similarly for the third place we have 14 balls as two balls are already arranged and so on.

Or we can say that this is the permutation of 16 things taking 16 at a time.

Thus the number of ways are: 16! or  ^{16}P_{16}

16!=16\times15\times14\times13......\times2\times1=20,922,789,888,000

Hence, the number of ways are 16! or 20,922,789,888,000.

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Based on the results of the test, can you say that there is a difference in the cost of airline tickets purchased 90 days in adv
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Answer:

C, B, 0.096, C

Step-by-step explanation:

Here is the complete question and answers

Pressures of supply and demand act directly on the prices of airline tickets. As the seats available on the plane begin to fill, airlines raise the price. If seats on a flight do not sell well, an airline may discount the tickets or even cancel the flight. Allie Henrich, a BYU-Idaho student, wanted to determine if there is a difference in the price of tickets listed 90 days before a flight compared with 14 days before the same flight. For her study she compared the prices of one-way flights from London's Heathrow Airport to various destinations in Europe. Using Travelocity.com, she recorded the lowest published fares for 90 nonstop midweek flights 90 days in advance and then found the lowest published price for the same destination again 14 days in advance. The prices (in US dollars) are given in the file DirectFlightCosts.sav. Notice that for some destinations, flights were not available.

Question 1

Which hypothesis test would be most appropriate for this study?

A One sample z-test  

B One sample t-test  

C Paired-samples t-test  

D Two sample t-test

Answer: C

Question 2

Is the alternative hypothesis for this test one-tailed or two-tailed?

A. One-tailed  

B. Two-tailed

Answer:  B

Question 3

What is the P-value for this test? Round your answer to 3 decimal places. (Example: 0.045)

Answer:

0.096

Question 4

Based on the results of the test, can you say that there is a difference in the cost of airline tickets purchased 90 days in advance compared with 14 days in advance? Use a level of significance of α=0.05 {"version":"1.1","math":"\alpha = 0.05"}.

A. Yes, because the P-value was greater than the level of significance.  

B. Yes, because the P-value was lower than the level of significance.  

C. No, because the P-value was greater than the level of significance.  

D. No, because the P-value was lower than the level of significance.

Answer:  C

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