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Ilya [14]
4 years ago
9

Lydia wanted to flip a coin and roll a die at the same time, but she also wondered what the probability of the coin landing on h

eads and the die landing on a 5 would be. She did a little bit of thinking and came up with 1/4 as the probability.
In complete sentences, determine if Lydia is correct or incorrect and explain using what you know about compound probability of independent events.
Mathematics
1 answer:
exis [7]4 years ago
7 0

Answer:

incorrect

Step-by-step explanation:

this is because it would be 1/2 and 1/6. you would have to multiply the bases for a probability of 1/12

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I don’t how to solve this problem
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***
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Prove Euler's identity using Euler's formula.<br> e^ix = cos x + i sin x
Korolek [52]

First list all the terms out.

e^ix = 1 + ix/1! + (ix)^2/2! + (ix)^3/3! ...

Then, we can expand them.

e^ix = 1 + ix/1! + i^2x^2/2! + i^3x^3/3!...

Then, we can use the rules of raising i to a power.

e^ix = 1 + ix - x^2/2! - ix^3/3!...

Then, we can sort all the real and imaginary terms.

e^ix = (1 - x^2/2!...) + i(x - x^3/3!...)

We can simplify this.

e^ix = cos x + i sin x

This is Euler's Formula.

What happens if we put in pi?

x = pi

e^i*pi = cos(pi) + i sin(pi)

cos(pi) = -1

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That is Euler's identity.

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