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Finger [1]
3 years ago
6

a traveler has 7 pieces of luggage . how many ways can the traveler select 3 pieces of luggage for a trip

Mathematics
1 answer:
7nadin3 [17]3 years ago
7 0
Well, you could assign a letter to each piece of luggage like so...

A, B, C, D, E, F, G

What you could then do is set it against a table (a configuration table to be precise) with the same letters, and repeat the process again. If the order of these pieces of luggage also has to be taken into account, you'll end up with more configurations.

My answer and workings are below...

35 arrangements without order taken into consideration, because there are 35 ways in which to select 3 objects from the 7 objects.

210 arrangements (35 x 6) when order is taken into consideration.

*There are 6 ways to configure 3 letters.

Alternative way to solve the problem...

Produce Pascal's triangle. If you want to know how many ways in which you can choose 3 objects from 7, select (7 3) in Pascal's triangle which is equal to 35. Now, there are 6 ways in which to configure 3 objects if you are concerned about order.

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In the graph below, the hyperbola gets close to the red lines but never touches
soldier1979 [14.2K]

Answer:

Option A asymptote.

Step-by-step explanation:

Asymptotes are lines to which the graph approaches very it can come very close to it but will never touch it. Asymptote are the limits of a graph.

IN the given graph of Hyperbola the two blue lines representing the Hyperbola are coming too close to the red lines but not touching it .

The two red lines are called the Asymptotoes of the Hyprbola.It is the limit of the Hyperbola.

Step-by-step explanation:

7 0
2 years ago
José is blocking off several rooms in a hotel for guest coming to his wedding. The hotel can reserve small rooms that can hold 3
miv72 [106K]

Answer:

x=2y\,,\,3x+4y=70  where x denotes number of small rooms and y denotes number of large rooms

Step-by-step explanation:

Given: Small rooms can hold 3 people, and large rooms can hold 4 people.

Number of small rooms is twice the number of large rooms.

Small rooms and large rooms altogether can accommodate 70 guests.

To find: system of equations that could be used to determine the number of small rooms reserved and the number of large rooms reserved

Solution:

Let x denotes number of small rooms and y denotes number of large rooms.

As number of small rooms is twice the number of large rooms,

x=2y

As small rooms and large rooms altogether can accommodate 70 guests such that small rooms can hold 3 people, and large rooms can hold 4 people,

3x+4y=70

4 0
2 years ago
how to solve Davis bought a second hand cycle for $500 he spent $80 in repairs and $175 in repainting he then sold it to John fo
Ivanshal [37]
So you would need to add:

500$ + 80$ + 175$ = 755$

Since John paid 900$ then you would subtract how much he is buying it for from how much Davis spent to fix it

900$ - 755$ = 145$ (on profit Davis earned)
4 0
2 years ago
​__________ uses statistical techniques to identify groups of entities that have similar characteristics.
liberstina [14]

Answer:

Cluster analysis

Step-by-step explanation:

Cluster analysis or clustering is the task of grouping a set of objects in such a way that objects in the same group (called a cluster) are more similar (in some sense) to each other than to those in other groups (clusters).

FYI: https://en.wikipedia.org/wiki/Cluster_analysis

6 0
3 years ago
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
lukranit [14]

Answer:  35

Step-by-step explanation:

The sum of interior angles of a triangle is 180°.

40 + 2a + 2a = 180

4a + 40 = 180

4a = 140

a = 35

4 0
3 years ago
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