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2 years ago

What is the sum of 12 – 5i and –3 + 4i?

Mathematics

1 answer:

Jobisdone [24]2 years ago

5 0

Answer:

B. 9 - i

Step-by-step explanation:

Combine the real and imaginary parts in numbers 12 - 5i and -3 + 4i

(12 + 5i) + (-3 + 4i)

12 - 3 + (-5 + 4)i

Add 12 to -3. Add -5 to 4.

9 + (-i)

9 - i

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Use the sample data and confidence level to construct the confidence interval estimate of the population proportion p. n=500, x=

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0.3581<x<0.4429

Step-by-step explanation:

Using the formula for calculating the confidence interval of the population proportion p expressed as:

Confidence interval = p ± Z * √p(1-p)/n

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Z is the z-score at 95% CI = 1.96

n is the sample size = 500

Substituting the given parameters into the formula we will have;

Confidence interval = 0.4 ± 1.96 * √p(1-p)/n

Confidence interval = 0.4 ± 1.96 * √0.4(0.6)/500

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3 years ago

Find the optimal solution for the following problem. (Round your answers to 3 decimal places.)

irina1246 [14]

Answer:

Maximize C = $9x + 7y$

$8x + 10y \leq 17$

$11x + 12y\leq 25$

and x ≥ 0, y ≥ 0

Plot the lines on graph

$8x + 10y \leq 17$

$11x + 12y\leq 25$

$x\geq 0$

$y\geq 0$

So, boundary points of feasible region are (0,1.7) , (2.125,0) and (0,0)

Substitute the points in Maximize C

At (0,1.7)

Maximize C = $9(0) + 7(1.7)$

Maximize C = $11.9$

At (2.125,0)

Maximize C = $9(2.125) + 7(0)$

Maximize C = $19.125$

At (0,0)

Maximize C = $9(0) + 7(0)$

Maximize C = $0$

So, Maximum value is attained at (2.125,0)

So, the optimal value of x is 2.125

The optimal value of y is 0

The maximum value of the objective function is 19.125

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3 years ago

What is the range of the function f(x) = –2(6x) + 3?

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