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3 years ago

30 POINTS!! PLEASE HELP ME! THANK YOU SO MUCH!!

Mathematics

1 answer:

irina [24]3 years ago

4 0

Step-by-step explanation:

Ok so i looked on an app i hope helps(Im not really sure if this is correct)I hope you get it soon!

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PLEASE HELP ME PLEASE!!!!!!

Sergio [31]

Answer:

I'm pretty sure it's

yes, yes, no, yes.

I've never had to do this so I'm sorry if I'm wrong

4 0

3 years ago

Compare and contrast perpendicular lines and parallel lines

Lady bird [3.3K]

Answer:

parallel lines are lines that are always the same distance apart. they never intersect.

perpendicular lines are lines that intersect at a right angle (90 degrees)

3 0

4 years ago

Express the fifth roots of unity in standard form a + bi. with 1 + 0i

marishachu [46]

Answer:

For K=0

$cos(\frac{0+2\pi 0}{5})+isin(\frac{0+2\pi 0}{5})\\cos(0)+isin(0)=1+i0$

For K=1:

$cos(\frac{0+2\pi 1}{5})+isin(\frac{0+2\pi 1}{5})\\cos(2\pi/5)+isin(2\pi/5)=0.3090+i0.9510$

For K=2:

$cos(\frac{0+2\pi 2}{5} )+isin(\frac{0+2\pi 2}{5} )\\cos(4\pi/5)+isin(4\pi/5)=-0.809+i0.587$

For K=3:

$cos(\frac{0+2\pi 3}{5} )+isin(\frac{0+2\pi 3}{5} )\\cos(6\pi/5)+isin(6\pi/5)=-0.809-i0.587$

For K=4:

$cos(\frac{0+2\pi 4}{5} )+isin(\frac{0+2\pi 4}{5} )\\cos(8\pi/5)+isin(8\pi/5)=0.3091-i0.9510$

Step-by-step explanation:

Fifth Root is given by:

$\sqrt[5]{z}=1+0i$

The above equation will become:

$z=(1+0i)^5$

It can be written as:

$z=[cos(0)+isin(0)]^5$

|z|=1,

According to De-moivre's Theorem:

$z=cos(\frac{0}{5})+isin(\frac{0}{5})\\ z=cos(0)+isin(0)$

Now, Fifth Roots of unity in standard form a + bi :

$\sqrt[5]{z}=[{cos(0+2\pi k)+isin(0+2\pi k)}]^{1/5}$

k=0,1,2,3,4

For K=0

$cos(\frac{0+2\pi 0}{5})+isin(\frac{0+2\pi 0}{5})\\cos(0)+isin(0)=1+i0$

For K=1:

$cos(\frac{0+2\pi 1}{5})+isin(\frac{0+2\pi 1}{5})\\cos(2\pi/5)+isin(2\pi/5)=0.3090+i0.9510$

For K=2:

$cos(\frac{0+2\pi 2}{5} )+isin(\frac{0+2\pi 2}{5} )\\cos(4\pi/5)+isin(4\pi/5)=-0.809+i0.587$

For K=3:

$cos(\frac{0+2\pi 3}{5} )+isin(\frac{0+2\pi 3}{5} )\\cos(6\pi/5)+isin(6\pi/5)=-0.809-i0.587$

For K=4:

$cos(\frac{0+2\pi 4}{5} )+isin(\frac{0+2\pi 4}{5} )\\cos(8\pi/5)+isin(8\pi/5)=0.3091-i0.9510$

6 0

3 years ago

on a certain map, 3/4 inch represents a distance of 150 miles. what distance d, in terms of x, is represented by x inches on the

exis [7]

Answer:

x=80

Step-by-step explanation:

5 0

3 years ago

lysha is at a local library with her best friend. they've noticed a lot of cute boys in the library, and alysha bets that of the

Annette [7]

Using the binomial distribution, there is a 0.1201 = 12.01% probability that Alysha will win the bet.

<h3>What is the binomial distribution formula?</h3>

The formula is:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

For this problem, the parameters are given as follows:

n = 20, p = 0.5.

She wins the bet if there are 12 boys, hence the probability is P(X = 12), found as follows:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 12) = C_{20,12}.(0.5)^{12}.(0.5)^{8} = 0.1201$

0.1201 = 12.01% probability that Alysha will win the bet.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

7 0

1 year ago