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Marina CMI [18]
3 years ago
6

Drawing a vowel from letter tiles that spell out MATHEMATICS.

Mathematics
1 answer:
klasskru [66]3 years ago
8 0
Well because the question isn’t specified, I can only assume that this is a probability question?
Answer: There are 4 vowels out of the 11 total letters in the word MATHEMATICS. 4/11 is 0.3636... or approximately 36%.
This means that there is a 36% chance of drawing a vowel from the word MATHEMATICS.
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How do you solve 5/6 ×20
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3 years ago
Divide: (5 + 4i) / (-3 – 2i)
Phantasy [73]

Answer:

<h2>-23/13 - 2/13i</h2>

Step-by-step explanation:

\frac{5+4i}{-3-2i}\\\\\mathrm{Apply\:complex\:arithmetic\:rule}:\\\\\quad \frac{a+bi}{c+di}\:=\:\frac{\left(c-di\right)\left(a+bi\right)}{\left(c-di\right)\left(c+di\right)}\:=\:\frac{\left(ac+bd\right)+\left(bc-ad\right)i}{c^2+d^2}\\\\a=5,\:b=4,\:c=-3,\:d=-2\\\\=\frac{\left(5\left(-3\right)+4\left(-2\right)\right)+\left(4\left(-3\right)-5\left(-2\right)\right)i}{\left(-3\right)^2+\left(-2\right)^2}\\\\Refine\\=\frac{-23-2i}{13}\\\\

\mathrm{Rewrite\:}\frac{-23-2i}{13}\mathrm{\:in\:standard\:complex\:form:\:}-\frac{23}{13}-\frac{2}{13}i\\

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