An airline flies between 6 airports. How many different flight paths can it offer, if it lands three times and never stays in the same place twice?

Answers

Answer 1

Answer:

Answer:

the airline can offer 20 different flight paths under the given conditions.

Step-by-step explanation:

If the airline has 6 airports and the plane lands three times without staying in the same place twice, this is essentially a permutation problem. You want to find the number of ways to arrange 3 distinct airports out of 6.

This can be calculated using the formula for permutations of "n" items taken "r" at a time:

nPr = n! / (n - r)!

Where "n" is the total number of items (airports in this case) and "r" is the number of items to be arranged (3 landings in this case), and "!" denotes factorial.

So, in your case, the calculation would be:

6P3 = 6! / (6 - 3)!

= (6 * 5 * 4 * 3 * 2 * 1) / (3 * 2 * 1)

= 120 / 6

= 20

So, the airline can offer 20 different flight paths under the given conditions.

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Whats the difference of 89,24&17

Answers

I interpret the first number to be 89.24, so 84 and 24 hundredths.

The difference would be by how many numbers they differ, so we subtract the smaller from the bigger:

89.24-17=12.24

this would be their difference!

There are 24 people using the gym. The ratio of men to women is 2:1. How many men are using the gym

Answers

Total ratio = 2 + 1 = 3

Number of men = 2/ 3 × 24
=16
Therefore, 16 men are using the gym

2:1
=
16 men
8 men :
How i worked it out...
24 divided by 3 = 8 that is 1/3 which is the :1
And you times that by 2 and you get the answer

Approximate 120 square root to the nearest hundredth.

Answers

Answer:

10.95

Step-by-step explanation:

The square root of 120 is 10.95445. And if you want it to the nearest hundredth it would be 10.95 :)

The following comparative stem-and-leaf plot represents the ages (in years) of the members of two professional basketball teams. Which of the following statements is correct?A. The youngest player is on Team A, and the oldest player is on Team B.
B. The youngest player is on Team A, and the oldest player is on Team A.
C. The youngest player is on Team B, and the oldest player is on Team A.
D. The youngest player is on Team B, and the oldest player is on Team B.

Answers

Team A Team B
8 9 | 1 | 9
0 0 5 9 | 2 | 2 8 8 9
1 2 4 4 | 3 | 0 0 4 5 8 9
0 1 | 4 | 0

Ages of Team A: 18, 19, 20, 20, 25, 29, 31, 32, 34, 34, 40, 41
Ages of Team B: 19, 22, 28, 28, 29, 30, 30, 34, 35, 38, 39, 40

The youngest player is 18 = Team A
The oldest player is 41 = Team A

B. The youngest player is on Team A, and the oldest player is on Team A.

Answer:

D.the youngest player is on team B and the oldest player is on team A

Step-by-step explanation:

apexs

Which value is equivalent to 15.2% written as a decimal

Answers

$p\%=(p)/(100)\n\n\n15.2\%=(15.2)/(100)=0.152$

The height of an object after it is released can be modeled by the function f(t)=-16t^2+vt+s, where t is the number of seconds after the object is released, v is the upward speed at release, and s is the starting height. If a quarterback throws a ball from his hand 6 feet in the air at a speed of 25 feet per second, how much time does his teammate have to catch the ball?about 1.45 seconds
about 1.77 seconds
about 6 seconds
about 25 seconds

Answers

Answer about 1.77 seconds.

f(t) = -16 t^2 + 25t + 6

f(t) = height.

hieght = 0 = -16t^2 + 25t + 6

Find t using the quadratic formula,

t = ( - 25 +/- √[25^2 - 4 (-16)(6)] ) / [2*(-16)]

t = [-25 +/- √ (625 + 384) ] / -32

t = [-25 +/- 31.76] / -32.

You will obtain two results one positive and one negative. Take the positive only as the other one has no physical meaning. t = 1.77 s.

B.) about 1.77 seconds

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