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Lisa [10]
3 years ago
13

Rewrite the expression 4+ the square root of 16-(4)(5) decided by 2 as a complex number in standard form a+bi

Mathematics
1 answer:
bija089 [108]3 years ago
8 0

Answer: 4 + \sqrt{4i}

Step-by-step explanation:

4+ \sqrt{16-(4)(5)} = 4 + \sqrt{16-20} =4 + \sqrt{-4} = 4 + \sqrt{4i}

if it matters then simply further...

4 + \sqrt{4i} = 4 + 4i^{1/2}

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Step-by-step explanation:

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2 years ago
The weights of 67 randomly selected axles were found to have a variance of 3.85. Construct the 80% confidence interval for the p
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Answer:

3.13

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 67

Variance = 3.85

We have to find 80% confidence interval for the population variance of the weights.

Degree of freedom = 67 - 1 = 66

Level of significance = 0.2

Chi square critical value for lower tail =

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Chi square critical value for upper tail =

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80% confidence interval:

\dfrac{(n-1)S^2}{\chi^2_{\frac{\alpha}{2}}} < \sigma^2 < \dfrac{(n-1)S^2}{\chi^2_{1-\frac{\alpha}{2}}}

Putting values, we get,

=\dfrac{(67-1)3.85}{81.085} < \sigma^2 < \dfrac{(67-1)3.85}{51.770}\\\\=3.13

Thus, (3.13,4.91) is the required 80% confidence interval for the population variance of the weights.

8 0
3 years ago
What is the equation of the line that passes through the point (-6,7) and has a slope of -5? Write the equation in slope interce
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y = -5x - 23

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Point-slope form:

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rearrange:

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