3 years ago

Using a tree diagram and assuming that all options are equally likely, what is the probability of using sprinkles?

Mathematics

1 answer:

tester [92]3 years ago

6 0

Some are said more than once but they is 10 different choices together so it’s be ‘1/10 probability’

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Answer:

Option (3)

Step-by-step explanation:

w = $\frac{\sqrt{2}}{2}[\text{cos}(225) + i\text{sin}(225)]$

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= -cos(45) [Since, cos(180 + θ) = -cosθ]

= - $\frac{\sqrt{2}}{2}$

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= -sin(45)

= - $\frac{\sqrt{2}}{2}$

Therefore, w = $\frac{\sqrt{2}}{2}[-\frac{\sqrt{2}}{2}+i(-\frac{\sqrt{2}}{2})]$

= $-\frac{2}{4}(1+i)$

= $-\frac{1}{2}(1+i)$

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= $[\frac{1}{2}+i(\frac{\sqrt{3}}{2})$

= $\frac{1}{2}(1+i\sqrt{3})$

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= $\frac{(\sqrt{3}-1)i}{2}$

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3 years ago

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