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fgiga [73]
2 years ago
13

Answer Please...I will give BRAINLIEST!!!

Mathematics
1 answer:
Black_prince [1.1K]2 years ago
7 0
Given that a fair die is rolled. We know there are six numbers in a fair die.
On rolling a die, the Sample space of the given event E = {1, 2, 3, 4, 5, 6}
Sample space of numbers less than 5 = {1, 2, 3, 4}
Clearly we can see that the number of favorable outcomes = 4
Hence, P(values less than 5) = 4/6 = 2/3.
To find the complement of rolling a number less than 5, we use the formula P' = 1 - P, where P' is the complement of P.
So, let P' be the complement probability of getting numbers less than 5
Now, P'(numbers less than 5) = 1 - P(numbers less than 5)
= 1 - 2/3
= 1/3.
Hence, the probability of the complement of rolling a number less than 5 by using a six-sided die is 1/3.
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Part A

The given expression is:

(-5(1+2i)+3i(3-4i)

We expand to get:

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Note that i^2=-1

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7-i

Part Bi)

The given expression is;

\sqrt{-50}

We simplify to get:

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Note that:

\sqrt{-1}=i

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This is now of the form a+bi, where a=0,b=5\sqr{2}.

This explains why it is a complex number;

Part bii)

The given expression is :

\frac{\sqrt{-50} }{\sqrt{5}}

We simplify to get

\sqrt{\frac{-50 }{5}}

\sqrt{-25}

\sqrt{-25}=\sqrt{25}\times \sqrt{-1}

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Part C

We want to simplify:

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We rewrite in terms of i^2

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