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3 years ago

Compute the permutations and combinations. 4 P 4 1 4 24

Mathematics

1 answer:

nata0808 [166]3 years ago

7 0

$nPk=\dfrac{n!}{(n-k)!}\\\\4P$=\dfrac{4!}{(4-4)!}=\dfrac{4!}{0!}=\dfrac{24}{1}=24$

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State one form of the Law of Cosines and provide a trick for writing the other two forms and explain when Law of Cosines should

Yuki888 [10]

Solving for Angles

$\displaystyle \frac{a^2 + b^2 - c^2}{2ab} = cos∠C \\ \frac{a^2 - b^2 + c^2}{2ac} = cos∠B \\ \frac{-a^2 + b^2 + c^2}{2bc} = cos∠A$

* Do not forget to use the inverse function towards the end, or elce you will throw your answer off!

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_____________________________________________

Now, JUST IN CASE, you would use the Law of Sines under three conditions:

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* I HIGHLY suggest you keep note of all of this significant information. You will need it going into the future.

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3 years ago

Eight people Are equally sharing 12 muffins how many will eaCH PERSON GET

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It is believed that 43% of the US population can play the piano, 28% can play the guitar, 15% can play the harmonica, 12% can pl

melomori [17]

Answer:

The smallest sample size to satisfy the conditions is n=500.

Step-by-step explanation:

The condition for performing the inference related to the sample size is that, for all the categories, the expected success and failures in the sample are at least 10:

$np\geq10\\\\n(1-p)\geq10$

The largest sample size required will be for the minimum p or (1-p).

This happens to be the proportion that can play other instruments: 2%.

Then, we can calculate the minimum sample size as:

$np\geq10\\\\n(0.02)\geq10\\\\n\geq(10/0.02)\\\\n\geq500$

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