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Lelu [443]
3 years ago
7

A fleet of nine taxis is to be dispatched to three airports in such a way that three go to airport a, five go to airport b, and

one goes to airport
c. In how many distinct ways can this be accomplished?
Mathematics
2 answers:
krok68 [10]3 years ago
8 0

A fleet of nine taxis is to be dispatched to three airports in such a way that three go to airport A, five go to airport B, and one goes to airport C. In how many distinct ways can this be accomplished?

2.44) Refer to Exercise 2.43. Assume that taxis are allocated to airports at random.

a) If exactly one of the taxis is in need of repair, what is the probability that it is dispatched to airport C?

b) If exactly three of the taxis are in need of repair, what is the probability that every airport receives one of the taxis requiring repairs?

So, my answer to 2.44a is 1/9. Hopefully this is correct at least :)

For 2.44b, my guess was

(3C1)(1/3)(2/3)2 * (5C1)(1/3)(2/3)4 * 1/3

The solutions manual on chegg (which seems to be riddled with errors) says something completely different. Is my calculation correct?

Vitek1552 [10]3 years ago
6 0

Answer:

There are 504 distinct ways can this be accomplished.

Step-by-step explanation:

A fleet of nine taxis is to be dispatched to three airports.

3 go to airport a, 5 go to airport b, and 1 goes to airport c.

The number of distinct ways this can this be accomplished is:

(9C3)(6C5)(1C1)

= (84)(6)(1)(1)

= 504

Therefore, there are 504 distinct ways can this be accomplished.

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Factor completely: 10m2 + 5mp - 6mn - 3np
ehidna [41]

Answer:(5m-3n)(2m+p)

Step-by-step explanation:

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3 years ago
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JUAN DECIDE PINTAR LAS PAREDES DE SU CASA UN TOTAL DE 200 METROS LOS DOS PRIMEROS DIAS PINTO 33 METROS CADA DIA AL TERCER DIA CO
Stells [14]

Answer:

38 metros

Step-by-step explanation:

Número total de metros que Juan quiere pintar su casa = 200 m

Durante los primeros 2 días, pintó = 33 m todos los días

Por lo tanto, el número total de metros que pintó = 33 m × 2 = 66 m

Al tercer día, practica la pintura = 96 m

El número de metros que quedan por pintar se calcula como:

200m - (66m + 96m)

Los 200m - 162m

= 38m

8 0
2 years ago
You have a car that is valued at $12,000. The balance that you owe on the car loan is $7,000. You lose your job and can not affo
MArishka [77]
As a result of such situation, you have reduced your net worth. Before selling the car, your net worth is $12,000-$7,000=$5,000. After selling the car and paying off the loan, it’s $2,000. As you can see it reduced $3,000. Hope this answers the question. Have a nice day.

7 0
3 years ago
Read 2 more answers
Can you please answer
-Dominant- [34]
It’s 500.
Explanation: If you would solve for that m^3 over m^2, you’d get m^1. So, m^1 is the square root of m^2, so you just take the square root of 250,000 to get 500. I really hope this helps!
5 0
3 years ago
Write an equation perpendicular to the line y=2/3x+6, and passing through the point (-3,6)​
shepuryov [24]

Answer:

y = -3/2x + 1 1/2

Step-by-step explanation:

the slope would be -3/2 because you have to find the reciprocal and switch the sign. To find the y intercept you would plug in the points to the equation.

6 = -3/2(-3) + b

6 = 4.5 + b

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7 0
3 years ago
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