1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Goryan [66]
2 years ago
5

The complex numbers w

Mathematics
1 answer:
solmaris [256]2 years ago
5 0

w=\dfrac{1+i+i}{i(1+i)+2}\\\\w=\dfrac{1+2i}{i-1+2}\\\\w=\dfrac{1+2i}{1+i}\\\\w=\dfrac{(1+2i)(1-i)}{1+1}\\\\w=\dfrac{1-i+2i+2}{2}\\\\w=\dfrac{3+i}{2}\\\\w=\dfrac{3}{2}+\dfrac{1}{2}i

You might be interested in
G(x) = 2x^2 and h(x) = .What is (g h)-1 and is it a function?
Andrews [41]
H(x) equals what? I think you've missed that detail. :)
3 0
3 years ago
Read 2 more answers
ABC Auto Insurance classifies drivers as good, medium, or poor risks. Drivers who apply to them for insurance fall into these th
Misha Larkins [42]

Answer:

a.P(E_1/A)=0.0789

b.P(E_2/A)=0.395\

c.P(E_3/A)=0.526

Step-by-step explanation:

Let E_1,E_2,E_3 are the events that denotes the good drive, medium drive and poor risk driver.

P(E_1)=0.30,P(E_2)=0.50,P(E_3)=0.20

Let A be the event that denotes an accident.

P(A/E_1)=0.01

P(A/E_2=0.03

P(A/E_3)=0.10

The company sells Mr. Brophyan insurance policy and he has an accident.

a.We have to find the probability Mr.Brophy is a good driver

Bayes theorem,P(E_i/A)=\frac{P(A/E_i)\cdot P(E_1)}{\sum_{i=1}^{i=n}P(A/E_i)\cdot P(E_i)}

We have to find P(E_1/A)

Using the Bayes theorem

P(E_1/A)=\frac{P(A/E_1)\cdot P(E_1)}{P(E_1)\cdot P(A/E_1)+P(E_2)P(A/E_2)+P(E_3)P(A/E_3)}

Substitute the values then we get

P(E_1/A)=\frac{0.30\times 0.01}{0.01\times 0.30+0.50\times 0.03+0.20\times 0.10}

P(E_1/A)=0.0789

b.We have to find the probability Mr.Brophy is a medium driver

P(E_2/A)=\frac{0.03\times 0.50}{0.038}=0.395

c.We have to find the probability Mr.Brophy is a poor driver

P(E_3/A)=\frac{0.20\times 0.10}{0.038}=0.526

7 0
3 years ago
Factor this expression completely mr + ns - nr - ms
Talja [164]
(m - n)(r - s) Hope this helps and heve a nice day!

8 0
2 years ago
Read 2 more answers
Terri owns a computer repair shop. Her revenue at the end of last month was $8,000. What is Terri's Run Rate?
Ilia_Sergeevich [38]

Based on the information given Terri's Run Rate is $96,000.

<h3>Run rate</h3>

Using this formula

Run rate=Revenue for the Period × Number of months in a year

Where:

Revenue for the Period =$8,000

Number of months in a year=12 months

Let plug in the formula

Run rate=$8,000×12 months

Run rate=$96,000

Inconclusion Terri's Run Rate is $96,000.

Learn more about run rate here:brainly.com/question/16134508

6 0
2 years ago
What mixed number is equivalent to the improper fraction, 46/11? Show your work.
AleksandrR [38]
11 and 2/11 because 46 divided by 11 is 44 plus 2 is 46

7 0
3 years ago
Read 2 more answers
Other questions:
  • Martina's gross weekly pay is $1168
    13·2 answers
  • A store is having a sale to celebrate President's Day. Every item in the store is advertised as 1/5 off the original price. If a
    11·1 answer
  • If f(x)= (x^m+9)^2 what would be true about the statement?
    15·1 answer
  • What ordered pair represents the y-intercept of the graph y = 2x - 3?
    15·1 answer
  • What is the distance between (-6, 4) and (-8, 6) ​
    10·2 answers
  • 30 points on this question simply find the volumes of tank a and then find the volume of tank b.
    11·2 answers
  • Can someone help me please? :)
    13·1 answer
  • What is 0.9 written as a decimal​
    10·2 answers
  • en una clase de 90 alumnos , 15 son nacidos en estados unidos . que porcentaje son nacidos en estados unidos?
    14·1 answer
  • The distance between A (-4, 2) and B(4, 2) is.<br> 6<br> 8<br> 4.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!