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2 years ago

What is the absolute value of the complex number Negative 4 minus StartRoot 2 EndRoot i?

Mathematics

2 answers:

Savatey [412]2 years ago

8 0

Answer:

The answer is B

Step-by-step explanation:

IRINA_888 [86]2 years ago

6 0

Answer:

$3\sqrt{2}$

Step-by-step explanation:

For the complex number $a+bi,$ the absolute value is $\sqrt{a^2+b^2}$

Given the complex number $-4-\sqrt{2}i.$ For this complex number,

$a=-4\\ \\b=-\sqrt{2},$

then the absolute value is

$\sqrt{(-4)^2+(-\sqrt{2})^2}=\sqrt{16+2}=\sqrt{18}=3\sqrt{2}$

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According to government data, the probability that an adult was never in a museum is 10%. In a random survey of 60 adults, wh

lutik1710 [3]

Answer:

$\text{Mean}=)=6\\\\\text{Standard deviation}=2.324$

Step-by-step explanation:

Given : The probability that an adult was never in a museum is : p=0.10

The number of adults randomly surveyed: n = 60

In Binomial distribution , the formula to find the mean and the standard deviation is given by :-

$\text{Mean}=np\\\\\text{Standard deviation}=\sqrt{np(1-p)}$

Then , the mean and standard deviation of the number that were never in a museum will be :-

$\text{Mean}=60(0.10)=6\\\\\text{Standard deviation}=\sqrt{60(0.10)(1-0.1)}=2.3237900077\approx2.324$

5 0

2 years ago

Jada created the two-way table below to describe the performance of her basketball team this season.

kramer

To answer the question, all the statements must be analyzed with the data presented in the table.
From the table we get that the team played 16 games at home and 11 games away from home.
In total, they played 27 games.
Of the 16 games at home, the team won 6. Then, the proportion of games won at home is:
6/16 = 0.375.
Of the 11 games away from home, the team won 3. Then the proportion of games won away from home is:
3/11 = 0.272.
0.375 is not twice 0.272.
Then the first statement is incorrect.

The ratio of games won at home is 6/16 = 3/8. Therefore, the second statement is incorrect. The team does not win 3/5 of the games at home.
The total number of games won is 9 and the total number of games is 27.
So, the third statement is incorrect. The team does not win half of the games.
The fourth statement is true. The team played 27 games

The fifth statement is false because the team won more than 6 games. They won 3 games away from home and 6 games at home

Finally, the sixth statement is correct, because the team lost 10 games at home and 8 away from home. However, the PERCENTAGE of games lost away from home is greater than the PERCENTAGE of games lost at home. Therefore, it is more likely that the team loses when playing away from home.

3 0

2 years ago

Read 2 more answers

In which quadrant is (1/2, -1.8)?

ad-work [718]

Answer:

Quadrant IV

Step-by-step explanation:

Quadrant I = (+ , +)

Quadrant II = (- , +)

Quadrant III = (- , -)

Quadrant IV = (+ , -)