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4 years ago

Simplify the expression 5/4-(7/4+2i) and write the result in the form a+bi

Mathematics

1 answer:

ivanzaharov [21]4 years ago

6 0

Answer: -1/2 -2i

Step-by-step explanation:

Hi, to answer this question we have to simplify the expression:

First, we have to apple distributive property for the (-) sign. It’s like having the number -1 multiplied by the sum.

5/4-(7/4+2i)

5/4 -1(7/4+2i)

5/4 (-1) 7/4 (-1)2i

5/4 -7/4 -2i

Now we add both numbers (with no variable ⇒5/4 + (-7/4) )

-1/2 -2i or

(-1/2)+ (-2)i

Feel free to ask for more if needed or if you did not understand something.

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3 years ago

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3 years ago

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3 years ago

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Find the missing numerator in each of the following fractiions? A. 5/6= /12. B. 2/4= /36. C. 2/5=/20. D. 4/25=/100

lesantik [10]

Answer:

A. 10

B. 18

C. 8

D. 16

Step-by-step explanation:

We are given a number of incomplete fractions and we are to find the missing numerator in each one of these.

To find the missing numerator or denominator, we multiply the numerator and the denominator by the same number to get an equivalent fraction.

A. $\frac{5}{6} =\frac{10}{12}$

Here the denominator is multiplied by 2 so the denominator will also be multiplied by 2 to get 10.

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4 years ago

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Answer:

The probability that the final settlement amount is between 1 and 3 given that the initial claim is 2 = (2/9) = 0.2222

Step-by-step explanation:

The complete question is presented in the attached image to this solution

The joint probability distribution is given as

f(x, y) = {2/[x²(x - 1)} × y^-[(2x-1)/(x-1)] for x>1 And y>1

Given that the initial claim estiamted by the comapny is 2, determine the probability that the final settlement amount is between 1 and 3.

That is, x = 2, and y ranges from 1 to 3

Inserting x = 2 into the expression, we obtain

f(y) = (1/2) × y⁻³ = (y⁻³/2)

The required probability would then be

P(1 < y ≤ 3) = ∫³₁ f(y) dy

= ∫³₁ (y⁻³/2) dy

= [y⁻²/-4]³₁

= [3⁻²/-4] - [1⁻²/-4]

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= (1/4) - (1/36)

= (8/36)

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Hope this Helps!!!

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