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
Anastasy [175]
3 years ago
15

What is the absolute value of the complex number -4-√2

Mathematics
1 answer:
Zepler [3.9K]3 years ago
6 0
|a+bi| = √(a² + b²)

-4-√2 i -> take a = -4 and b = -√2

|-4-√2 i| = √[ (-4)² + (<span>-√2)² ]
               = </span><span>√[ 16 + 2<span> ]
               </span></span><span>= √[ 18 ]</span> = <span>√[ 9 * 2 ]
               = 3√2
the absolute value is 3√2</span>

You might be interested in
A publishing company has just published a new college textbook. Before the company decides the price at which to sell this textb
Kobotan [32]

Answer:b

Step-by-step explanation:

8 0
3 years ago
A common blood test performed on pregnant women to screen for chromosome abnormalities in the fetus measures the human chorionic
goldfiish [28.3K]

Answer:

(a) The proportion of women who are tested, get a negative test result is 0.82.

(b) The proportion of women who get a positive test result are actually carrying a fetus with a chromosome abnormality is 0.20.

Step-by-step explanation:

The Bayes' theorem states that the conditional probability of an event <em>E</em>_{i}, of the sample space <em>S,</em> given that another event <em>A</em> has already occurred is:

P(E_{i}|A)=\frac{P(A|E_{i})P(E_{i})}{\sum\liits^{n}_{i=1}{P(A|E_{i})P(E_{i})}}

The law of total probability states that, if events <em>E</em>₁, <em>E</em>₂, <em>E</em>₃... are parts of a sample space then for any event <em>A</em>,

P(A)=\sum\limits^{n}_{i=1}{P(A|B_{i})P(B_{i})}

Denote the events as follows:

<em>X</em> = fetus have a chromosome abnormality.

<em>Y</em> = the test is positive

The information provided is:

P(X)=0.04\\P(Y|X)=0.90\\P(Y^{c}|X^{c})=0.85

Using the above the probabilities compute the remaining values as follows:

P(X^{c})=1-P(X)=1-0.04=0.96

P(Y^{c}|X)=1-P(Y|X)=1-0.90=0.10

P(Y|X^{c})=1-P(Y^{c}|X^{c})=1-0.85=0.15

(a)

Compute the probability of women who are tested negative as follows:

Use the law of total probability:

P(Y^{c})=P(Y^{c}|X)P(X)+P(Y^{c}|X^{c})P(X^{c})

          =(0.10\times 0.04)+(0.85\times 0.96)\\=0.004+0.816\\=0.82

Thus, the proportion of women who are tested, get a negative test result is 0.82.

(b)

Compute the value of P (X|Y) as follows:

Use the Bayes' theorem:

P(X|Y)=\frac{P(Y|X)P(X)}{P(Y|X)P(X)+P(Y|X^{c})P(X^{c})}

             =\frac{(0.90\times 0.04)}{(0.90\times 0.04)+(0.15\times 0.96)}

             =0.20

Thus, the proportion of women who get a positive test result are actually carrying a fetus with a chromosome abnormality is 0.20.

6 0
3 years ago
Match these together
MrMuchimi
1. C
2. A
3. B
3. D

Hope this helps
6 0
3 years ago
If two triangles are congruent, which of the following statements must be true?
PSYCHO15rus [73]

Answer:

The correct options are A, B, C and D.

Step-by-step explanation:

A figure said to be congruent if:

Two figures are said to be congruent if they have same size and same shape.

If two figure are congruent that means the corresponding sides will also be congruent.

If two figure are congruent that means the the corresponding angles will also be congruent.

Now consider the provided option.

By the above definition it is clear that all the options are correct.

Hence, the correct options are A, B, C and D.

7 0
3 years ago
Read 2 more answers
9 /5 = 6 5 /x how to solve step by step
ziro4ka [17]
<h2>Answer: x=\frac{325}{9}</h2>

Step-by-step explanation:

  1. Cross-multiply.
  2. Divide both sides by 9.

4 0
2 years ago
Other questions:
  • PLZ HELP WILL GIVE BRAINLIEST!!!
    11·2 answers
  • The book of math contains story problems too. some months have 30 day others 31 day. how many months have 28 days?
    5·1 answer
  • Independent practice constant rate of change
    14·1 answer
  • In a certain parking lot 1 out of every 9 blue cars. What percent of the cars in this lot is blue​
    9·2 answers
  • 3(2R-7)=6<br> I need help on finding this
    14·1 answer
  • If a translation takes triangle CAT to C’A’T’, what is A’T’?
    10·1 answer
  • What is the Lowest common multiple of eight and six
    11·2 answers
  • IF YOU HELP ME I WILL GIVE YOU THE BRAINLIEST......
    14·1 answer
  • PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
    14·1 answer
  • The number of ducks swimming In a lake decreased by 1/4 between last year and this year. last year there were 60 ducks in the la
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!