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3 years ago

Let z=1+i where i^2=-1.calculate z^2 z^3 z^4

Mathematics

1 answer:

allochka39001 [22]3 years ago

4 0

Answer:

$0$

Step-by-step explanation:

$i^2=-1$

$i=-1$

Subsite i in for z

$z=1+-1$

Add $-1$ to both sides

$z=0$

Anything multiplied by 0 is just 0.

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3 years ago

Cubed means an exponent of 2. true or false

stepan [7]

Answer:

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2 years ago

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Step-by-step explanation:

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3 years ago

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3 years ago

Find the variance of this probability distribution. Round to two decimal places.

attashe74 [19]

Answer:

Variance = 4.68

Step-by-step explanation:

The formula for the variance is:

$\sigma^{2} =\frac{\Sigma(X- \mu)^{2}}{N} \\or \\ \sigma^{2} =\frac{\Sigma(X)^{2}}{N} -\mu^{2} \\$

Where:

$X: Values \\\mu: Mean \\N: Number\ of\ values$

The mean can be calculated as each value multiplied by its probability

$\mu = 0*0.4 + 1*0.3 + 2*0.1+3*0.15+ 4*0.05=1.15$

$\frac{\Sigma (X)^{2}}{N} =\frac{(0^{2}+1^{2}+2^{2}+3^{2}+4^{2})}{5} =6$

Replacing the mean and the summatory of X:

$\sigma^{2} = \frac{\Sigma(X)^{2}}{N} -\mu^{2} \\= 6 - 1.15^{2}\\= 4.6775$

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4 years ago