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2 years ago

Hello, could someone answer this question for me please? simplify (1 + i) + (-2 + i).

Mathematics

1 answer:

Debora [2.8K]2 years ago

6 0

Answer:

- 1 + 2i

Step-by-step explanation:

Given

(1 + i) + (- 2 + i) ← remove parenthesis

= 1 + i - 2 + i ← collect like terms

= - 1 + 2i

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Which is a monthly recurring cost associated with renting a house?

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2 years ago

A region with a 5-mile radius has a population density of about 3100 people per square mile. Find the number of people who live

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Answer:

243,000 people

Step-by-step explanation:

First, what we need to do is to calculate the area of the region using the 5-mile radius

Mathematically, we can calculate this as the area of a circle

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Our r here is 5 miles

Area = pi * 5^2 = pi * 25 = 78.54 square miles

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2 years ago

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2 years ago

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In a clinical test with 2161 subjects, 1214 showed improvement from the treatment. Find the margin of error for the 95% confiden

Vlad [161]

Answer:

The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.

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 z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

The margin of error is of:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

In a clinical test with 2161 subjects, 1214 showed improvement from the treatment.

This means that $n = 2161, \pi = \frac{1214}{2161} = 0.5618$

95% confidence level

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

Margin of error:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$M = 1.96\sqrt{\frac{0.5618*0.4382}{2161}}$

$M = 0.0209$

The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.

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2 years ago