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Ugo [173]
3 years ago
12

A committee is formed consisting of one representative from each of the 4 departments (CS-IS-IT-SW) in the computer science coll

ege, where the representative from a department is either the president or one of the two representatives from that department. How many ways are there to form this committee?
Mathematics
1 answer:
alexandr1967 [171]3 years ago
7 0

Step-by-step explanation:

each department has 3 options for their representative.

and each of these options can be associated with the 3 options of the next department. and so on.

so, we have

3×3×3×3 = 3⁴ = 81

possibilities to firm that committee overall.

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If it takes 3127 feet of computer cable to wire an office building how much cable will left if the wire is taken from a 5000 foo
Lunna [17]
This is simple to solve as all we need to do is setup a basic equation. An equation that could represent this is 3127+x=5000 where x is equal to the amount of wire left on the reel.

3127+x=5000
-3127  -3127
x=1873

Using this information, we can see that there are 1,873 feet of wire left on the reel.

4 0
3 years ago
Please help! cube root
PIT_PIT [208]
13.) 15
14.) 13
15.) 8
16.) 5
17.) 12
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6 0
3 years ago
Team tool Bella gathered 15 pounds of wood in 1/3 of an hour. What was their speed in pounds per hour.
allochka39001 [22]

Team tool Bella gathered 15 pounds of wood in 1/3 of an hour.

1/3 of an hour is equal to 1/3 of 60 mins = 1/3 * 60 mins = 20 mins

We have to find their speed in pounds per hour( 60 mins).

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5 0
3 years ago
Given six distinct pairs of gloves, 12 distinct gloves in all, how many ways are there to distribute two gloves to each of six s
noname [10]

a) if the two gloves someone receives might both be for the left hand or right hand.

b) if each sister gets one left and one right.

Soln:

a) So i thought about dissectng the problem first into finding the number of ways in which I could make pairs of gloves:

C(12, 2)

then I asked how many ways could the sets of gloves be assigned amongst the 6 sisters:

<span><span>6!</span><span>6!</span></span>

and taking the product of this would give me the amount of ways this could occur:

= C(12,2) * 6!

then for part b)

using this same idea except:

C(6,1) C(6,1) for the left and right glove each .

the C(6,1)*C(6,1)*6!

Right way to think them through?

7 0
4 years ago
Use the formula pH = log (1/H*) to find the pH of the substance given its concentration
Vaselesa [24]
We can use the subtraction property of logs to expand the right side of the equation:

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No matter what base we’re using, log(1) = 0, so this simplifies to -log(H*). We’re also given a pH value of 3.6, so we can substitute this value into the original equation along with -log(H*) to get

3.6 = -log(H*)

Multiplying by -1 on both sides:

-3.6 = log(H*)

And rewriting in exponential form:

H* = 10^(-3.6) = 0.0003 (rounded to the nearest ten thousandth)
6 0
2 years ago
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