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AnnZ [28]
3 years ago
10

The United Van Lines moving company has a truck filled for deliveries to five different sites. If the order of the deliveries is

randomly selected, what is the probability that it is the shortest route?
Mathematics
1 answer:
Scrat [10]3 years ago
7 0

Answer:

0.8333%

Step-by-step explanation:

Assuming that there is only one possible shortest route, the probability that a randomly selected route is given by one divided by the permutation of the order of five different sites:

P=\frac{1}{\frac{5!}{(5-5)!}}=\frac{1}{5*4*3*2*1}\\ P=0.008333=0.8333\%

There is a 1 in 120 chance, or 0.8333% chance that a randomly selected route is the shortest possible route.

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Nicole bought a meal in a town with a 9% sales tax. She tips 20% on the bill, and then adds the sales tax. What is the total cos
zloy xaker [14]

Answer:

The total cost of the meal is $19.35.

Step-by-step explanation:

As Nicole ordered a $ 15 menu, and on that price she paid a tip of 20% and the town in which she bought it had a sales tax of 9%, the total cost of the meal is determined by performing the following calculation:

1- Menu $ 15

2- Tip $ 3 (15 x 0.2)

3- Sales tax $ 1.35 (15 x 0.09)

Thus, adding the three expenses, the total cost of the food for Nicole is $ 19.35 (15 + 3 + 1.35).

6 0
3 years ago
the trailer cost one-fourth as much as the boat. the total cost of both is 4,000 how much did each cost
Katarina [22]

Answer: Boat  cost $ 3200

Trailer cost $ 800

Step-by-step explanation:  From the statement , the coat of Trailer (t) = 1/4 of the coat of the boat ( b)

i.e t = 1/4b

multiply through by 4

4t = b

both cost 4,000

i.e t + b = 4000

recall: b = 4t

therefore

t + 4t = 4000

5t      = 4000

       t = 4000/5

       t = 800

       b = 4000 - 800

       b = 3200

4 0
3 years ago
Find three ratios that are equivalent to 2 4. A. 8 16 B. 10 24 C. 4 8 D. 3 5 E. 6 12 F. 12 6
xenn [34]

Answer:

A, C, and E good luck

Step-by-step explanation:

3 0
2 years ago
Using the number line below to compare the list of numbers. Place the numbers in increasing order.
Ivanshal [37]

Answer:

-2/5

-1.5

.3

1 4/5

Step-by-step explanation:

The higher the negatice number, the lower it is. Hope this helps:)

4 0
2 years ago
A rectangle has a length of 3x-5 and a width of 2x+9.
Montano1993 [528]

Step-by-step explanation:

l = 3x - 5

w = 2x + 9

perimeter = 2l + 2w = 2(3x - 5) + 2(2x + 9) =

= 6x - 10 + 4x + 18 = 10x + 8

area = l×w = (3x - 5)(2x + 9) = 6x² + 27x - 10x - 45 =

= 6x² + 17x - 45

8 0
2 years ago
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