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FrozenT [24]
3 years ago
6

With a short time remaining in the​ day, a delivery driver has time to make deliveries at 4 locations among the 7 locations rema

ining. How many different routes are​ possible?
Mathematics
1 answer:
omeli [17]3 years ago
3 0

Answer:

35 different routes

Step-by-step explanation:

The problem of how many different routes are possible if a driver wants to make deliveries at 4 locations among 7 locations is a combination problem.

Combination problems are usually selection problems, of all or part of a set of options, without considering the order in which options are selected.

The number of combinations of n objects taken r at a time is: ⁿCᵣ

So, the number of ways the driver can make deliveries at 4 locations out of 7 locations of given by

⁷C₄ = 35 different ways.

Hence, 35 different routes are possible to make deliveries at 4 locations out of 7 locations.

Hope this Helps!!!

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What does the ratio 6 to 8 represent in the situation?
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2 years ago
Read 2 more answers
The number of bacteria in a certain culture doubled every hour. If there were 30 bacteria present in the culture initially, how
vichka [17]

Answer:

The number of bacteria after 8th will be 3840

Step-by-step explanation:

Given the initially 30 bacteria present in the culture.

Also, the number of bacteria got doubled every hour.

So, using the equation

A=A_0r^{n-1}

Where A is number of bacteria after n hours.

A_0 is bacteria present initially.

r is the common ration, in our problem it is given that bacteria doubles every hour. So, r=2

And n is the number of hours. In our problem we need amount of bacteria at the end of 8th hours. So, n=8

Plugging values in the formula we get,

A=30(2)^{8-1}\\A=30\times 2^7\\A=30\times 128\\A=3840

So, number of bacteria after 8th will be 3840

3 0
3 years ago
How many hours are in 2 weeks if it is about 23.93 hours in a day?
klemol [59]
2 weeks (14 days) X 23.93 hours a day = 335.02 hours in 2 weeks 

so 14 x 23.93 = 335.02

hope I helped:)
3 0
3 years ago
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