3 years ago

Which statement is true of z11.7?

Mathematics

1 answer:

Alexxx [7]3 years ago

7 0

Answer

z11.7 is between 1 and 2 standard deviations of the mean.

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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2 years ago

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Which of the following is a solution of z^5 = 1 + √3 i?

nordsb [41]

Answer:

Option 2 is right

Step-by-step explanation:

Given that

$z^5=1+\sqrt{3} i$

We can write this in polar form with modulus and radius

$|z^5|= \sqrt{1+3} =2\\tan of Angle t =\sqrt{3} \\$

Hence angle = 60 degrees and

$|z^5|= 2(cos60+isin60)$

Since we have got 5 roots for z, we can write 60, 420, 780, etc. with periods of 360

Using Demoivre theorem we get 5th root would be

5th root of 2 multiplied by 1/5 th of 60, 420, 780,....

$z= \sqrt[5]{2} (cos12+isin12)\\z=\sqrt[5]{2} (cos84+isin84)\\\\z=\sqrt[5]{2} (cos156+isin156)\\\\z=\sqrt[5]{2} (cos228+isin228)\\\\z=\sqrt[5]{2} (cos300+isin300)\\$

Out of these only 2nd option suits our answer

Hence answer is Option 2.

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3 years ago

Two factors are multiplied and their product is 34.44. one factor is a whole number. What is the least number of decimal places

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The least number of decimal places is 2.

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