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lana66690 [7]
3 years ago
12

Three students, Angie, Bradley, and Carnell, are being selected for three student council offices: president, vice president, an

d treasurer. In each arrangement below, the first initial of each person’s name represents that person’s position, with president listed first, vice president second, and treasurer third. Which shows the possible outcomes for the event?
Mathematics
2 answers:
Kobotan [32]3 years ago
8 0

Answer:

We have 3 students and 3 positions.

Angie (A), Bradley (B) and Carnell (C)

The total number of combinations can be calculated as:

For the president option we have 3 options:

For the vice president, we have 2 options because we already took one of the students for the president's place.

For the treasurer, we only have one option, so the number of combinations is:

3*2*1 = 6 we have 6 possible combinations; those are:

\left[\begin{array}{ccc}pres&vice&treas\\A&B&C\\A&C&B\\B&A&C\\B&C&A\\C&A&B\\C&B&A\end{array}\right]

olchik [2.2K]3 years ago
6 0

Answer:

ABC, ACB, BCA, BAC, CAB, CBA

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f(x) = 2x - 5

Step-by-step explanation:

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How to work out 215 in a fraction
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2 years ago
F the range of the function f(x) = 7x – 2.7 is {14.1, 30.9, 41.4, 58.9, 68}, what is its domain?
grigory [225]
You need to solve  5 equations  
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1. 7x - 2.1 = 14.1
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7 0
3 years ago
A recent survey based on a random sample of n=470 voters, predicted that independent candidate for the mayoral election will get
julsineya [31]

I have an expression

\sigma = \sqrt{p(1-p)/n}

floating around in my head; let's see if it makes sense.

The variance of binary valued random variable b that comes up 1 with probability p (so has mean p) is

E( (b-p)^2 ) =  (-p)^2(1-p) + (1-p)^2p = p(1-p)

That's for an individual sample. For the observed average we divide by n, and for the standard deviation we take the square root:

\sigma = \sqrt{p(1-p)/n}

Plugging in the numbers,

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So this is borderline suspect; most surveys will include a two sigma margin of error, say plus or minus 4 percent here, and the results were within those bounds.

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