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3 years ago

Find the distance (2, 3.5) & (2, -1).

Mathematics

1 answer:

OverLord2011 [107]3 years ago

4 0

Answer:

A meteor shower is a celestial event in which a number of meteors are observed to radiate from one point in the night sky. These meteors are caused by streams of cosmic debris called meteoroids entering Earth's atmosphere at extremely high speeds on parallel trajectories.

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6 high school seniors choose from among 20 quotes for their yearbook. What is the probability that at least 2 of them choose the

shusha [124]

Using the binomial distribution, it is found that there is a 0.0328 = 3.28% probability that at least 2 of them choose the same quote.

<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.

In this problem, we have that:

There are 6 students, hence n = 6.

There are 20 quotes, hence the probability of each being chosen is p = 1/20 = 0.05.

The probability of one quote being chosen at least two times is given by:

$P(X \geq 2) = 1 - P(X < 2)$

In which:

P(X < 2) = P(X = 0) + P(X = 1).

Then:

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

$P(X = 0) = C_{6,0}.(0.05)^{0}.(0.95)^{6} = 0.7351$

$P(X = 1) = C_{6,1}.(0.05)^{1}.(0.95)^{5} = 0.2321$

Then:

P(X < 2) = P(X = 0) + P(X = 1) = 0.7351 + 0.2321 = 0.9672.

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9672 = 0.0328$

0.0328 = 3.28% probability that at least 2 of them choose the same quote.

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

6 0

2 years ago

I need help with this if anyone can help

Fiesta28 [93]

Answer: $\Large\boxed{Fourth~Choice.~f(x)=2-i}$

Concept:

Here, we need to know the power of imaginary numbers

i = √(-1)

i² = -1

i³ = -i

i⁴ = 1

Solve:

Given function expression

$f(x)=x^3-2x^2$

Given the requirement of the question

To find the expression for f(i)

Substitute values into the expression

$f(x)=(i)^3-2(i)^2$

Simplify the exponents

$f(x)=(-i)-2(-1)$

Expand the parenthesis

$f(x)=-i-(-2)$

$\Large\boxed{f(x)=2-i}$

Hope this helps!! :)

Please let me know if you have any questions

3 0

2 years ago

Read 2 more answers

Question 1:

AnnyKZ [126]

Answer(1):

Given that h(y)=2y-7.

h(8) means plug y=8 into h(y)=2y-7.

h(8)=2*8-7=16-7=9

Hence C) 9 is the final answer.

Answer 2:

(7/8) = (m/32)

to solve for m, we begin by cross multiply

8m=7*32

8m=224

m=28

Hence choice C) 28 is final answer.

Reflection symmetry occurs when a line is drawn to divide a shape in halves so that each half is a reflection of the other.

Rotational symmetry is to check if the given picture is symmetric after some rotation.

Answer 3:

Letter "E" will have

B) the letter has reflection symmetry only

So B) is correct.

Answer 4:

Which statement is true?

Letter "Z" will have

B) the letter has rotation symmetry only

Hence B) is correct.

Answer 5:

Letter "X" will have

A) the letter has both reflection and rotation symmetry

Hence A) is correct.

5 0

3 years ago

Read 2 more answers

Fourteen is 6 less a number (n). Which equation shows this relationship?

Klio2033 [76]

Answer:

14+6=n=20

Step-by-step explanation:n=20

8 0

3 years ago

Read 2 more answers

How many solutions does the equation have? 0 = -8q + 8q

lawyer [7]

Zeroooo solutions bc i did it earlier

7 0

3 years ago

Read 2 more answers