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natta225 [31]
3 years ago
8

Given a circle in the complex plane with a diameter that has endpoints at: -12 − i and 18 + 15i Find the center of the circle. +

i
Mathematics
2 answers:
Fittoniya [83]3 years ago
8 0

Answer:

3+7i :) on edge nuity haha uh cool

azamat3 years ago
4 0

Answer: The center of the circle is 3+7i

Explanation: Let z1 and z1 be the two end points and c be the center to be determined. The center lies half of the difference between z1 and z1, measured from z1:

z_1=-12-i\\z_2=18+15i\\c=z_1+\frac{z_2-z_1}{2}=-12-i +15+8i=3+7i

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7:24 or \frac{7}{24}

Step-by-step explanation:

a ratio is usually defined as a fraction ( the first to the next)

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if a rental car costs Caden $35 for the day, plus $0.33 per mile and his total bill was $78, how many miles did he drive?​
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A pathologist knows that 14.9% of all deaths are attributable to myocardial infarctions (a type of heart disease). (Either you h
garik1379 [7]

Answer:

a) The mean number is 745 and the standard deviation is 25.18.

b) 896 deaths is a significantly high number, which means that there is cause for concern.

Step-by-step explanation:

For each death, there are only two possible outcomes. Either it is attributable to myocardial infarctions, or it is not. The probability of a death being attributable to myocardial infarctions is independent of other deaths. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

A value X is significantly high is:

X > E(X) + 2\sqrt{V(X)}

In this problem:

p = 0.149, n = 5000

a. Find the mean and standard deviation for the number of such deaths that will occur in typical region with 5000 deaths.

E(X) = np = 5000*0.149 = 745

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{5000*0.149*0.851} = 25.18

The mean number is 745 and the standard deviation is 25.18.

b. In one region, 5000 death certificates are examined, and it is found that 896 deaths were attributable to myocardial infarction. Is there cause for concern? Why or why not?

Is 896 a significantly high number?

E(X) + 2\sqrt{V(X)} = 745 + 2*25.18 = 795.36

895 > 795.36

896 deaths is a significantly high number, which means that there is cause for concern.

6 0
3 years ago
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