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3 years ago

Find the sum of 3 - 7i and 8 + 4i. 11 - 3i 11 + 3i 22 - 8i -22 + 8i

Mathematics

2 answers:

klio [65]3 years ago

6 0

Answer:

11 -3i

First option is correct.

Step-by-step explanation:

We have to find the sum of the complex number 3 - 7i and 8 + 4i.

In adding two complex numbers, real part gets added with the real part and the imaginary part gets added with the imaginary part.

For the first complex numbers 3 - 7i, we have

real part = 3

imaginary part = -7i

For the second complex numbers 8 + 4i, we have

real part = 8

imaginary part = 4i.

Hence, the sum of the complex numbers is given by

3 - 7i + 8 + 4i

= (3+8) +(-7+4)i

= 11 -3i

First option is correct.

Debora [2.8K]3 years ago

5 0

3 - 7i + 8 + 4i = 3 + 8 - 7i + 4i = 11 - 3i.

The answer is A, 11-3i.

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2 years ago

What is the y coordinate of the point that divides the

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Answer:

the y coordinate is 5

Step-by-step explanation:

In the figure attached, the directed line segment is shown.

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run: x2 -x1 = -8 - (-3) = -5

rise: y2 - y1 = 11 - 1 = 10

Taking J as reference, the coordinate of the point that divides the directed line segment from J to k into a ratio of 2:3 is:

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3 years ago

Find the probability of at least 6 failures in 7 trials of a binomial experiment in which the probability of success in any one

oksano4ka [1.4K]

Answer:

$P(x \geq 6)=P(X=6)+P(X=7)$

And we can find the individual probabilities:

$P(X=6)=(7C6)(0.91)^6 (1-0.91)^{7-6}=0.358$

$P(X=7)=(7C7)(0.91)^7 (1-0.91)^{7-7}=0.517$

And replacing we got:

$P(x \geq 6)=P(X=6)+P(X=7)= 0.358+0.517=0.875$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=7, p=1-0.09=0.91)$

The probability associated to a failure would be p =1-0.09 = 0.91

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And we want to find this probability:

$P(x \geq 6)=P(X=6)+P(X=7)$

And we can find the individual probabilities:

$P(X=6)=(7C6)(0.91)^6 (1-0.91)^{7-6}=0.358$

$P(X=7)=(7C7)(0.91)^7 (1-0.91)^{7-7}=0.517$

And replacing we got:

$P(x \geq 6)=P(X=6)+P(X=7)= 0.358+0.517=0.875$

6 0

3 years ago