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2 years ago

Perform the indicated operation and write the result in the form a + bi i^100

Mathematics

1 answer:

alexdok [17]2 years ago

8 0

$i^{100}=i^{4\cdot25}=\left(i^4\right)^{25}$

Recall that $i^4=1$ , since $i^2=-1$ . Then

$i^{100}=1^{25}=1$

so that in the form $a+bi$ , we have $a=1$ and $b=0$ .

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Round 3.721 to the nearest hundredths place

kirill [66]

3.700

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2 years ago

Please help ill mark brainliest

anyanavicka [17]

The value of the missing length is 20

Let the missing length be x

From Parallel lines and transversal theorem, we have that

If three or more parallel lines intersect two transversals, then they cut off the transversals proportionally.

Then, we can write that

$\frac{x}{15} =\frac{16}{12}$

∴ $x = \frac{15\times 16}{12}$

x = 20

Hence, the value of the missing length is 20

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2 years ago

Pulse rates of women are normally distributed with a mean of 77.5 beats per minute and a standard deviation of 11.6 beats per mi

miss Akunina [59]

Answer:

Mean = 0, Standard deviation = 1

Step-by-step explanation:

We are given the following in the question:

Mean, μ = 77.5 beats per minute

Standard Deviation, σ = 11.6 beats per minute

We are given that the distribution of pulse rates of women is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

Putting the values, we get,

$z_{score} = \displaystyle\frac{x-77.5}{11.6}$

After, the standardization, that is conversion of all pulse rates of women to z scores, the mean of the distribution is 0 and standard deviation is 1.

Mean = 0, Standard deviation = 1

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2 years ago

22% of the customers visiting the suit department of a certain store will purchase a suit, 30% will purchase a shirt and 28% wil

Ulleksa [173]

Answer:

If there are 1000 customers in the store one week, how many will purchase exactly one of these items

1000 CUSTOMERS*28%=280

Step-by-step explanation:

A The event that a persons buys a suit

B The event that a person buys a shirt

C The event that a person buys a tie

P(A)= 22%

P(B)= 30%

P(C)= 28%

P(AB)= 11%

P(AC)= 14%

P(BC)= 10%

P(ABC)= 6%

A u B u C Is the event that any item is bougth

AC u AC u BC Is the event that any two events occured

So the wanted probability is

P[(A u B u C )(AB u AC u BC)^c

P[(A u B u C )=P(AB)+ P(BC)+P(BC)

P[(A u B u C ) =0.22+0.30+0.28-0.11-0.14.-0.10+0.06

=0,51

0,51=+0,23+P[(A u B u C )(AB u AC u BC)^c

=0,28

1000 CUSTOMERS*28%=280

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2 years ago

camie and jorge each saving money for a new computer camie saves $5 per week plus $50 she received for her birthday. jorge saves

ki77a [65]

Answer:

7w<u> > </u>5w + 50

Step-by-step explanation:

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2 years ago