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QveST [7]
2 years ago
5

When testing for current in a cable with eleven ​color-coded wires, the author used a meter to test four wires at a time. How ma

ny different tests are required for every possible pairing of four ​wires? The number of tests required is nothing.
Mathematics
1 answer:
Sav [38]2 years ago
5 0

Answer:

The number of tests required is 330.

Step-by-step explanation:

We have to find the total number of combinations of four wires.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

Four wires from a set of 11.

So

C_{11,4} = \frac{11!}{4!(11-4)!} = 330

The number of tests required is 330.

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sarah can complete a project in 90 minutes and her sister betty can complete it in 120 minutes if they both work on the project
alukav5142 [94]

Answer:

It will take them approximately 51.43 minutes to complete the project together

Step-by-step explanation:

This is what is called a "shared job" problem.

The best way to work on them is to start by finding the "portion" of the job done by each of the people in the unit of time.

So, for example, Sarah completes the project in 90 minutes, so in the unit of time (that is 1 minute) she completed 1/90 of the total project

Betty completes the project in 120 minutes, so in the unit of time (1 minute) she completes 1/120 of the total project.

We don't know how long it would take for them to complete the project when working together, so we call that time "x" (our unknown).

Now, when they work together completing the entire job in x minutes, in the unit of time they would have done 1/x of the total project.

In the unite of time, the fraction of the job done together (1/x) should equal the fraction of the job done by Sarah (1/90) plus the fraction of the job done by Betty. This in mathematical form becomes:

\frac{1}{x} =\frac{1}{90} +\frac{1}{120}\\\frac{1}{x} =\frac{4}{360} +\frac{3}{360}\\\frac{1}{x} =\frac{7}{360} \\x=\frac{360}{7} \\x=51.43\,\,min

So it will take them approximately 51.43 minutes to complete the project together.

8 0
3 years ago
PLEASE HELP<br><br> What is the value of x?
KonstantinChe [14]
Side JL is 4√2  recall that in a 30-60-90 right triangle the hypotenuse is 2 times the size of the short leg.

JL also serves as the hypotenuse of the 45-45-90 triangle JML.  The ratio of side lengths in this triangle is 1:1:√2

So we can see that the value of x = 4

7 0
3 years ago
Write two numbers that multiply to −33 and add to 8
cupoosta [38]

Answer:

-3 and 11

Step-by-step explanation:

3 0
2 years ago
Solve X/3 - 2X+1/3 = X-3/5​
iren2701 [21]

Answer:

Answer is 3

Step-by-step explanation:

x/3-2x/1+3 =x-3/5

x/3-x/3 = x-3/5

0=x-3/5

0=x-3

3=x

sothat, x = 3 ans

3 0
2 years ago
Three friends were helping to push a car. If all three are pushing equally hard and the net force is 600N, how hard is each one
slavikrds [6]

Answer:

One person is pushing the car in the net force of 200N

Step-by-step explanation:

600 divided by 3 (600 N in total, and 3 person pushing.)

5 0
2 years ago
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