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stellarik [79]
3 years ago
9

Please explain your answer. Thank you!!

Mathematics
1 answer:
Ad libitum [116K]3 years ago
7 0

Answer:

(A) 180

Step-by-step explanation:

We have to treat those player selections as independent events, since one doesn't influence the other (the fact you chose Joe as a guard, shouldn't have an influence on who'll pick as center, unless there's bad blood between some players... but that's a whole other story).

So, how many ways to pick 2 guards from a selection of 4?  The order doesn't seem to matter here, since they don't specify for example that Joe can only play on the left side).  So, it's a pure combination calculation:

C(4,2) = \frac{4!}{2! * (4 - 2)!} = \frac{24}{2 * 2} = 6

C(4,2) = 6.

How many ways to pick the 2 forwards from a group of 5?  Using the same calculation, we get:

C(5,2) = 10.

And of course, the coach has 3 ways to pick a center player from 3.

Then we multiply the possible ways to pick guards, forwards and center...

6 * 10 * 3 = 180 ways.

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A pipe that is open at both ends has a fundamental frequency of 320 Hz when the speed of sound in air is 331 m/s. What is the le
Tems11 [23]

Answer:

51.72 cm.

Step-by-step explanation:

We have been given that a pipe that is open at both ends has a fundamental frequency of 320 Hz when the speed of sound in air is 331 m/s. We are asked to find the length of the pipe.

First of all, we will find the wavelength using following formula.

\text{Wave speed}=\text{Frequency}\times \text{Wave length}

331\frac{\text{m}}{\text{s}}=320\text{ Hz}\times \text{Wave length}

We know that Hz is equal to \frac{1}{s}.

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331\text{ m}=320\times \text{Wave length}

\text{Wave length}=\frac{331}{320}\text{ m}

\text{Wave length}=1.034375\text{ m}

Length of the pipe would be half of the wave-length.

\text{Length of pipe}=\frac{1.034375}{2}\text{ m}=0.5171875\text{ m}

Since the length of pipe is in meters, so we will convert it into cm.

1 m = 100 cm

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Therefore, the length of the pipe would be 51.72 cm.

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4 years ago
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3 years ago
5f+3=28 <br> find the value of f
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5

5*5 = 25

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Alternatively, 28-3 = 25
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f=5
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