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3 years ago

Find the values of x and y that satisfies the equation. 5x + 3i = 15 + yi

Mathematics

2 answers:

nexus9112 [7]3 years ago

8 0

Answer: The required value of x is 3 and that of y is 3.

Step-by-step explanation: We are given to find the values of x and y that satisfies the following equation :

$5x+3i=15+yi~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We know that

$a+bi=c+di~~~~~~~~~\Rightarrow a=c,~b=d.$

That is, the real and parts on both sides of the equation are equal.

From equation (i), we have

$5x+3i=15+yi.$

Equating the real and imaginary parts on both sides of the above equation, we get

$5x=15\\\\\Rightarrow x=\dfrac{15}{5}\\\\\Rightarrow x=3$

and

$3=y\\\\\Rightarrow y=3.$

Thus, the required value of x is 3 and that of y is 3.

Anestetic [448]3 years ago

6 0

Answer:

So the value of x=3 and y =3

Step-by-step explanation:

5x + 3i = 15 + yi

To find out x , set the constant terms equal to each other and solve for x

5x= 15

Divide by 5 on both sides

x= 3

To find out y , set the ';i' terms equal to each other and solve for y

3= y

So the value of x=3 and y =3

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3 years ago

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Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

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x is the number of successes.

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$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

In this question:

Fleet of 18 means that $N = 18$

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$P(X \leq 1) = P(X = 0) + P(X = 1)$

In which

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$P(X \leq 1) = P(X = 0) + P(X = 1) = 0.000021 + 0.001666 = 0.001687$

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