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GrogVix [38]
2 years ago
12

Solve for x and y: (x + yi) -(2-1) = 12 +7i

Mathematics
1 answer:
kumpel [21]2 years ago
8 0

Answer:

These are the answers.

Step-by-step explanation:

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Find the slope of the line that passes through the pair of points.<br> (1,-4), (-5, -3)
Westkost [7]

Answer:

A

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

Therefore:

(-3-(-4))/(-5-1)

-1/6 (A)

5 0
3 years ago
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Which is the equation of a line that has a slope of 1 and passes through point (5, 3)? A.y = x – 2
gizmo_the_mogwai [7]
Filling in the given values in point-slope equation
  y = m(x -x₁) +y1
you have
  y = 1(x -5) +3

This simplifies to ...
  A. y = x - 2
5 0
3 years ago
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Bella had already read 20% of the book before her teacher assigned it to the class. She is choosing between two options to finis
Lubov Fominskaja [6]

Answer:

How big is the book?

If it has more than 96 pages remaining 25% each night is quicker if it has less that 96 or less remaining 24 pages a night is faster

Step-by-step explanation:

4 0
3 years ago
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A survey of 865 voters in one state reveals that 408 favor approval of an issue before the legislature. Construct the 95% confid
katrin [286]

Answer:

The 95% confidence interval for the true proportion of all voters in the state who favor approval is (0.4384, 0.5050).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 865, \pi = \frac{408}{865} = 0.4717

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4717 - 1.96\sqrt{\frac{0.4717*0.5283}{865}} = 0.4384

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4717 + 1.96\sqrt{\frac{0.4717*0.5283}{865}} = 0.5050

The 95% confidence interval for the true proportion of all voters in the state who favor approval is (0.4384, 0.5050).

6 0
3 years ago
Determine the sign of cos pi/3 without using a calculator.
andre [41]
Pi/3 is in the first quadrant, and all trigonometric functions are positive in the first quadrant,
Therefore, cos pi/3 is positive.

8 0
3 years ago
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