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Ratling [72]
3 years ago
12

Find the value of

} " align="absmiddle" class="latex-formula">
for all x belongs to Real Numbers and i = √(-1).
Mathematics
1 answer:
Sholpan [36]3 years ago
8 0

Answer: cis (ln x) ; x > 0

<u>Step-by-step explanation:</u>

  x^i

= e^{ln(x^i)}

=e^{i \ln(x)}

= cos (ln x) + <em>i</em> sin (ln x)

AKA: cis (ln x)


NOTE: I found this following formula which you may find useful:

A^i = x + iy

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antiseptic1488 [7]
2 and 2/3 gallons of fruit juice is needed
6 0
3 years ago
Will mark Brainlest if you just give me the right answer
lesya692 [45]

Answer:

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6 0
2 years ago
You are to take a multiple-choice exam consisting of 64 questions with 5 possible responses to each question. Suppose that you h
damaskus [11]

Answer:

a) Expected score on the exam is 12.8.

b) Variance 10.24, Standard deviation 3.2

Step-by-step explanation:

For each question, there are only two possible outcomes. Either you guesses the answer correctly, or you does not. The probability of guessing the answer of a question correctly is independent of other questions. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

E(X) = np

The variance of the binomial distribution is:

V(X) = np(1-p)

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

64 questions.

So n = 64

5 possible answers, one correctly, chosen at random:

So p = \frac{1}{5} = 0.2

(a) What is your expected score on the exam?

E(X) = np = 64*0.2 = 12.8

(b) Compute the variance and standard deviation of x. Variance =Standard deviation

V(X) = np(1-p) = 64*0.2*0.8 = 10.24

Variance 10.24

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{64*0.2*0.8} = 3.2

Standard deviation 3.2

5 0
3 years ago
Please help me i will give biranlyest to who gets this done for me. thank you just do 2,3,4
morpeh [17]

Answer:

2: 6+4+6= 16

3: 6+6+9+9+18=48

4: 6+2+12+3+8= 36

I really hope this helped I’m not very Experienced in this.

6 0
3 years ago
How do I solve this and what kind of formula is it?
soldier1979 [14.2K]

Answer:

160

Step-by-step explanation:

The measure of an arc is always twice the degree of the corresponding angle inside the circle. For example, the measure of arc DC is just double the measure of angle DOC; angle DOC is 44 degrees, so arc DC must be 88 degrees.

Angle COB is 80 degrees, so arc CB is 160 degrees.

5 0
3 years ago
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