In a large population, 55% of the people have been vaccinated. if 5 people are randomly selected, what is
the probability that at least one of them has been vaccinated?
give your answer as a decimal to 4 places.

Answers

Answer 1

Using the binomial distribution, it is found that there is a 0.9815 = 98.15% probability that at least one of them has been vaccinated.

What is the binomial distribution formula?

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

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, the values of the parameters are:

n = 5, p = 0.55

The probability that at least one of them has been vaccinated is given by:

[tex]P(X \leq 1) = 1 - P(X = 0)[/tex]

In which:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{5,0}.(0.55)^{0}.(0,45)^{5} = 0.0185[/tex]

Then:

[tex]P(X \leq 1) = 1 - P(X = 0) = 1 - 0.0185 = 0.9815[/tex]

0.9815 = 98.15% probability that at least one of them has been vaccinated.

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

#SPJ1


Related Questions

PLLLEAASSEE HELP ME!!

AND IF YOU DON"T MIND EXPLANING TO ME HOW TO SLOVE THESIS TYPE OF PROBLEMS CAUSE IM SO CONFUSED

Answers

Answer:

75 Seconds

Step-by-step explanation:

First divide 90,000 by 16 then square root that answer for 75 and when you plug it in you'll end up with -90,000 + 90,000


(12 ÷ 3) + 3+ (16-7) × 4

Answers

Answer: 43

Step-by-step explanation:

Step 1: Simplify inside the parenthesis

(12 ÷ 3) + 3+ (16-7) × 4

4 + 3 + 9 × 4

Step 2: Multiply 9 by 4

4 + 3 + 36

Step 3: Combine Like Terms

43

Please help!! Consider the equation x/5 -2=11, where x represents the
number of basketball players that have signed up for a
new league. What is a possible scenario that would be
modeled by this equation? Consider how many teams in
the league and the number of players on each team this
equation could describe

Answers

Answer:

x=65

Each NBA team can have a maximum of 15 players, 13 of which can be active each game.

65/5=13 so it's safe to say tgat 5 team can be crated

Step-by-step explanation:

x/5-2=11-->transposing x/5=11+2---->x=13×5--->x=65

verification 65/5-2=11--->13-2=11

The polygon shown is a regular pentagon.
K
108⁰
L
N
M
What is the sum of the measures of all the interior angles of this
pentagon?
OA) 504°
OC) 960°
O B) 540°
OD) 1080°

Answers

The sum of the measures of all the interior angles of the pentagon is 540°. Option B

How to determine the sum

Note that

Sum of Interior Angles in a Pentagon = 540°

A pentagon is formed from three triangles, so the sum of angles in a pentagon = 3 × 180° = 540°

If one of the interior angles = 108°, then the other two angles = 2 * 108° = 216°

The sum of the interior angles = 108° + 216° = 540°

Therefore, the sum of the measures of all the interior angles of the pentagon is 540°

Learn more about a pentagon here:

https://brainly.com/question/4222032

#SPJ1

What is the measure of AC?

Enter your answer in the box.

°
Image shows a circle with angle A B C inscribed in a circle. Angle B measures 4 x minus 5.5 degrees. Arc A C measures 3 x plus 9 degrees.

Answers

Answer:

In the circle, the measure of the arc AC is 21°.

Step-by-step explanation:

Concept: We can use the Inscribed Angle theorem to get the measure of AC.

Given that the inscribed angle ∠ABC is 3x-1.5 and the Intercepted arc AC is 3x+9.

Inscribed Angle Theorem states that the measure of an inscribed angle is half the measure of the intercepted arc.

So,

3x - 1.5 = 0.5(3x + 9)

6x - 3 = 3x + 9

3x = 12

x = 4

Since the intercepted arc AC is 3x + 9, putting the value of x = 4 we get,

intercepted arc AC is 21°.

Hence the intercepted arc AC is 21°.

For more explanation, refer the following link:

https://brainly.com/question/8841969

#SPJ10

A chocolate chip recipe that produces 30 cookies calls for 2 1/4 cups of flour. If the math club decides to make fifteen dozen cookies for a bake sale, how many cups of flour will they need?

Answers

Answer:

2 1/4

Step-by-step explanation:

Brian wants to fence in his triangular plot of farm land that measures 1.1 by 1.5 by 2.2 miles. Determine the angles at which the fences of the three sides will meet. 1.1 mi A 1.5 mi 2.2 mi B Rounding each angle to m/A 125 X = COMPLETE m/Ba DONE degrees​

Answers

The angles at which the fences will meet is 27 , 38 ,114 degree.

What is a Triangle ?

A triangle is  a polygon with three sides , three angles and three vertices.

It is given that the triangle has sides

1.1 miles * 1.5 miles * 2.2 miles

The law of cosines can be used to calculate the angle

a² = b² + c² -2bc cosA

1.1²  = 1.5² + 2.2² -2 *1.5 *2.2 cosA

A = 27.01 degree

Similarly

b² = c² +a² -2ac cosB

1.5²  = 2.2² +1.1²  -2 * 2.2*1.1 cos B

B = 38.27 degree

By angle sum property

Angle C = 180-38.27-27.01

C = 114.72 degree

Therefore , the angles at which the fences will meet is 27 , 38 ,114 degree.

To know more about Triangle

https://brainly.com/question/2773823

#SPJ1

If students sit 4 per row on a rollercoaster, 6 students are left without a seat.
If they sit 6 per row, there are 3 rows left empty. How many students are
there?

Answers

An expression is defined as a set of numbers, variables, and mathematical operations. The total number of students is 54.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Let the number of columns in the rollercoaster be represented by x.

If students sit 4 per row on a rollercoaster, 6 students are left without a seat. Therefore, the number of students can be written as,

Total number of students = 4x + 6

If they sit 6 per row, there are 3 rows left empty. Therefore, the total number of students can be written as,

Total number of students = 6(x-3)

The total number of students can be written as,

4x + 6 = 6(x - 3)

4x + 6 = 6x - 18

2x = 24

x = 12

Now, the total number of students in the class are,

4x + 6 = 4(12) + 6 = 54

Hence, the total number of students are 54.

Learn more about Expression:

https://brainly.com/question/13947055

#SPJ1

6. Given that the term independent of x in the binomial expansion of (x²+p/x)^6 is 240,
(a) find the value of the positive constant p

Answers

By the binomial theorem,

[tex]\displaystyle \left(x^2 + \frac px\right)^6 = \sum_{n=0}^6 \binom 6n \left(x^2\right)^n \left(\frac px\right)^{6-n} = \sum_{n=0}^6 p^{6-n} \binom 6n x^{3n-6}[/tex]

where

[tex]\dbinom kn = \dfrac{k!}{n!(k-n)!}[/tex]

is the so-called binomial coefficient.

The term that's independent of x is the constant term, which occurs when [tex]3n-6=0[/tex], or [tex]n=2[/tex]. Given that this constant 240, we have

[tex]p^{6-2} \dbinom62 = 240 \implies p^4 = 16 \implies p = \pm2[/tex]

but [tex]p[/tex] must be positive, so [tex]\boxed{p=2}[/tex]

What's an algorithm ?​

Answers

Answer:An algorithm is a set of instructions for solving a problem or accomplishing a task.

Step-by-step explanation:

Any series of well defined steps that shows a procedure for solving a given type of problem is called an algorithm.

Step-by-step explanation:

Hope it helps you !!

pleasee help with function graphing

Answers

Answer: A. The function has two distinct real zeros.

Answer:

C. The function has four distinct real zeros.

Step-by-step explanation:

The function intersects y=0 at x=1/2, 4, and 6 twice. It has two solutions at 6 twice as it is a behavior of polynomial or rational functions

PLEASE HELP - image attachment below, thanks! :)

Answers

32 as well according to some rule in geometry
What is the measure of R is 32 the answer

the cost of 10 water bottles is $55. find the unit cost of the water bottle

Answers

Answer:

$5.50

Step-by-step explanation:

For one water bottle you divide the 55 dollars by 10

55/10= 5.5

Answer:

$5.50

Step-by-step explanation:

We must divide to solve so lets do that now :)

55/10 = 5.50

Each bottle will cost 5 dollars and 50 cents :)

Have an amazing day!!

Please rate and mark brainliest!!

its math please help me

Answers

Answer:

460

Step-by-step explanation:

if you look at the values you'll notice the next month is just half their value

7360 / 2 = 3680

3680 / 2 = 1840

1840 / 2 = 920

so

920 / 2 = 460 which should be month 5

find the maxium value of 16x+ 96y​

Answers

Step-by-step explanation:Explanation: To find the maximum, we must find where the graph shifts from increasing to decreasing. To find out the rate at which the graph shifts from increasing to decreasing, we look at the second derivative and see when the value changes from positive to negative

follow p

help me with this question please, thank you !

Answers

Answer:

2

Step-by-step explanation:

[(27divided by (-3)-9] divided by [15-21}

=[-9-9] divided by 3

= 6divided by 3 = 2

if answer is correct so mark me as brain lest :-)

A survey found that 50% of teenagers prefer to watch a movie at a theater over other viewing options. You want to know the estimated probability that three out of four randomly chosen teenagers do not prefer watching a movie at a theater. How could you design a simulation for this situation?

Answers

To design a simulation for this situation, one can generate a set of four numbers by using the number generator with numbers 0 to 5 representing those who prefer watching a movie at a theatre and 6 to 9 representing those who do not.

How to depict the information?

From the information given about the probability, the goal here is to design a simulation for this situation.

In this case, to design a simulation for this situation, one can generate a set of four numbers by using the number generator.

Learn more about probability on:

brainly.com/question/10174774

#SPJ1

Give your answer in the form y = mx + c , where m and care integers or fractions in their simplest forms.​

Answers

It is unclear what the question is?

Line A has a gradient of 3 and a y-intercept of -7
The equation of line A is y = 3x - 7

A line parallel to A passing through P will have the form y = 3x + c
Substitute the values of x and y at P(2,7)
7 = 3 x 2 + c
c = 1
Equation of parallel line through P is y = 3x + 1

A line perpendicular to A through P will have a gradient of -1/3
7 = -1/3 x 2 + c
c = 7 + 2/3
Equation of line perpendicular to A through P is y = (-1/3)x + 7 2/3
You may prefer the c value as the improper fraction 23/3

What is equivalent to 3(5-2i)?

Answers

Answer:

Step-by-step explanation:

One equivalent can be obtain by distributing multiplication with 3 over subtraction 5-2i

3(5-2i) =

3·5 -3·2·i =

15 -6i or -6i +15

It is given that x² - y² = 30 and x - y = 5. Find the value of (x + y)².

Answers

Answer:

36

Step-by-step explanation:

when solving for two variables, we need to find one variable in terms of the other.

so, we can turn:

x - y = 5

into

x - y = 5

  + y    + y

x = y + 5

Then, we can substitute "x" in the given equation with "y + 5"

  x² - y² = 30

 (y+5)² - y² = 30

(y + 5)(y + 5)

F: y²    O:  +5y    I:   +5y  L:  25   {foil}

y² + 10y + 25 - y² = 30          {cancel y² - y²}

10y + 25 = 30

      -25      -25

10y  = 5

÷10    ÷10

y = 0.5

x = y + 5

x = 0.5 + 5

x = 5.5

check:

(5.5)² - (0.5)²

30.25  - 0.25 = 30

30 = 30

(TRUE)

now, we must find the value of:

(5.5 + 0.5)²

= (6)²

= 36

So, the value of (x + y)² is found to be 36

hope this helps!!

Answer:

(x + y)² = 36

Step-by-step explanation:

x² - y² ← is a difference of squares and factors as

(x - y)(x + y) , then

5(x + y) = x² - y² = 30 ( divide both sides by 5 )

(x + y) = 6 , then

(x + y)² = 6² = 36

Jean had $25.86 in her pocket. If shoes cost $7.50 a pair plus 10% of tax. How many pairs can she buy?

Answers

Answer:

3 pairs

Step-by-step explanation:

10% of 7.50 is 0.75. So one pair will cost $8.25. Now, 25.86/8.25 and you get 3 pairs

Answer:

[tex]\fbox {3 pairs}[/tex]

Step-by-step explanation:

Cost of 3 pairs with tax :

⇒ 7.50 × 3

⇒ 22.50

* Adding tax *

⇒ 22.50 + 22.5 (0.1)

⇒ 22.50 + 2.25

⇒ 24.75

∴ Since 24.75 is less than 25.86, Jean can buy 3 pairs of shoes.

The chart below shows the distribution of the number of books in a library.Sahira chooses a random sample from the library and records the type of books in the chart below.

Answers

Answer:

you have jbjhgbjhih7g6ginyfygino

I need help lol xoxoxo

Answers

If you take 2x2 equals 4 and then you divide 2 divided by 2 you get 1 so I do not know

MisterBrainly (also known as Enstine) lets out 100 feet of string on a kite from a hand height of 3 feet. The angle between horizontal hand height and the kite is 25º. Find the height of the kite above the ground, to the nearest foot.

Answers

Answer: I love the picture example

Step-by-step explanation:

We will first find the heigh of the kite from his hand to a point in the air.

Then, we will add 3 feet to the result.

So, how to find the vertical line of the right triangle?

Well, we have the vertical line = x

We also got the hypothenuse, equal to 100 feet

And also theta, equal to 25 degrees.

We can calculate sine because the sine of 25 degrees = opposite side (the height line) over (divided by) the hypothenuse

sin(25) = x/100 feet

multiply 100 feet on both sides, to cancel to 100 feet on the right side.

100sin(25) = x

100(0.442) = x

x = 42.2  feet

Height = 42.2 + 3 feet (the yoda's hand =) =  45.2 feet (total)

Rounded to the nearest tenth.

I also did the verification, so it is the correct answer.

Easy as that =]]

Height of the kite from 3ft above the ground

[tex]\\ \rm\Rrightarrow sin\Theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\\ \rm\Rrightarrow sin25=\dfrac{P}{100}[/tex]

[tex]\\ \rm\Rrightarrow P=100sin25[/tex]

[tex]\\ \rm\Rrightarrow P=42.26\approx 42ft[/tex]

Height from the ground

42+345ft(Rounded)

A piece of climbing equipment at a playground is 6 feet high and extends 4 feet horizontally. A piece of climbing
equipment at a gym is 10 feet high and extends 6 feet horizontally. Which statement best compares the slopes of the
two pieces of equipment?

Answers

Answer:

First Option i.e 5/3 > 3/2 , the slope of Climbing equipment at Gym is greater is Correct

Step-by-step explanation:

This question deals with Slope of a line.

Slope tells how vertical a line is.

The more the slope is, the more the line is vertical. When slope is zero, the line is horizontal.

To find the slope, we take the ratio of how much the line's height increases as we go forward or backward on the horizontal axis.

For first climbing equipment rise = 6 feet, run(horizontal) = 4 feet

Thus, slope =  6/4 = 3/2 ≈ 1.5

For second climbing equipment rise = 10 feet, run(horizontal) = 6 feet

Thus, slope=   10/6 = 5/3 ≈ 1.66

Thus,

Slope of first climbing equipment = 3/2 < slope of second climbing equipment = 5/3

Thus, First Option i.e 5/3 > 3/2 , the slope of Climbing equipment at Gym is greater is Correct

Learn more about slopes here:

https://brainly.com/question/9246501

#SPJ10

Make "t" subject by algebra:-
s=ut+at2

Answers

s=ut+at2
s=t(u + a2)
s/(u + a2) =t

PLEASE HELP ASAP!!!!!
Which equation is the polar equivalent to the equation y=−3√x?
A. 0= pi/6
B. 0=pi/3
C. 0=2pi/3
D. 0=5pi/6

Answers

The value of  θ = pi /3 , Option B is the correct answer.

What is an Equation ?

A statement in mathematics used to correlate two algebraic expressions by using an equal sign is called an Equation.

x = rcosθ

y = rsinθ

The equation given is

[tex]y = -\sqrt{3} \;x[/tex]

rsinθ = - [tex]\sqrt{3}[/tex] [tex]\rm {r \; cos\; \theta}[/tex]

sin θ / cos θ = -  [tex]\sqrt{3}[/tex]

tan θ = -[tex]\sqrt{3}[/tex]

 θ = pi /3

Therefore Option B is the correct answer.

To know more about Equation

https://brainly.com/question/10413253

#SPJ1

On day 1, Perry shipped packages and tracked their weight to the nearest kilogram. The packages weighed 1, 8, 1, 12, 1, 11, 7, and 6 kilograms.

On day 2, Perry shipped 12 kilograms more weight than he did on day 1 while shipping the same number of packages.

What is the increase in the mean kilograms per package for the second day compared to the first?

Enter your answer in the box.

Answers

Answer:

1.5kg

Step-by-step explanation:

The mean for the packages on day 1 will be:

= (1 + 8 + 1 + 12 + 1 + 11 + 7 + 6)/8

= 47/8

= 5.875

The mean for day 2 will be:

= (47 + 12)/8

= 59/8

= 7.375

The increase in mean:

= 7.375 - 5.875

= 1.5

Instructions: Write the equation for the following
function. Do not use any spaces in your answer.
X
0
1
2
-1
y
0
-2
-4
-12

Y=

Answers

The function of the given data would be F(x) = y = 4x.

What is a function?

The function is a type of relation, or rule, that maps one input to specific single output.

Given;

X(input)    Y ( output)

0                0

1                  4

2                  8

3                 12

We can see that

When the input is zero the output is also zero.

And when the input is some real number the output gives the multiple of 4.

Thus, The function could be

f(x) = 4x

The given function is represented by x as the independent variable.

Therefore, The function of the given data would be F(x) = y = 4x.

Learn more about function here:

https://brainly.com/question/2253924

#SPJ1

Sandhu lights a candle at 6 pm. It is 30 cm high. At 7pm, the candle is 27 cm high. At 8pm, it is 24cm high. a) How many cm does the candle burn down every hour? b) How high is the candle at 11 pm?

Answers

2 water allowed going into cm high into squares
Other Questions
I need a walk through please 1 A hollow conducting sphere has an inside radius of r1 = 0.17 m and an outside radius of r2 = 0.28 m. The sphere has a net charge of Q = 4.8E-06 C. What is the magnitude of the field, in newtons per coulomb, at a distance of 0.05 m from the center of the sphere? If you need a mortgage for a home purchase, what should your first course of action be? Find the jacobian of the vector valued function F(v) = [3x*2y, 5xx, 9yy] A book seller a book for Rs 70 at a gain of 40 percent find the profit A student drops a water balloon out of a dorm window 17 m above the ground. What is its speed when it hits the ground? Jose bought 750 bags of peanuts for $375.00. He intends to sell each bag for $0.15. More than he paid . How much should he charge? Which element of this web page best supports an ethical appeal?the sentence Disasters affect everyone.the imperative statement Be a hero!the image of the teens gathered togetherthe text See whats happening in your state! What would be the most appropriate initial investigation for thyroid nodules 100 PTS+BRAINILIEST: Why does it get colder as you go higher through the atmosphere, if you are getting closer to the sun?? An organization, Citizens for Financial Advancement, did a survey of persons attending a banker convention and decided that most Americans favor the removal of disclosure about terms of loans.Would it be reasonable to think this is a good research design? Why or why not?Be sure to include comments about the population surveyed and the sponsor of the survey Skyler, Robert, and Kaitlyn all solve the same exponential problem but have different approaches. Skyler Robert Kaitlyn 729=9 729=9 729=9 (36)=9 (93)=91 (36)=32 6x = 9 3x = 1 6x = 2 x = 96 x = 13 x = 26 x = 32 x = 13 Explain Sklyer's processes. Is Skyler correct? If not, where did she go wrong? Explain Robert's processes. Is Robert correct? If not, where did he go wrong? Explain Kaitlyn's processes. Is Kaitlyn correct? If not, where did she go wrong? As a result of the Supreme Court decision in baker v Carr, courts can require states to what What is the volume of figure A (-2, 1) B (3,6) Find the gradient of the line Mirele needs to buy fencing to completely surround her backyard pool. How much fencing should she buy? A pool has a length of 31.74 feet and a height of 14.85 feet. Read the excerpt from The Dark Game: True SpyStories from Invisible Ink to CIA Moles.As Montgomery and de Grey slowly made their waythrough the message, they noticed more and moreoddities. For example, 97556 appeared near the end ofthe message; the 90000 family indicated importantnames that were not used very often in messages. Wecan imagine their shock when they realized that 97556stood for Zimmermann. That single name fired the menwith excitement as they began working on the messagefrom the beginning.In time, some of the coded "words" began to give uptheir secrets. They found most secret and For YourExcellency's personal information. The men pushed on,discovering Mexico and Japan in the text. What couldthat mean? And what was Germany's interest inMexico? How did Japan figure into the plan? The mencould not think of a reason for the connection amongWhich word best describes the tone of the passage?OlightheartedOfrustratedO suspensefulOfrightened Find the area of the triangle, given that sin(C) = 1/2. Round the answer to the nearest whole number.A. 26 square unitsB. 75 square unitsC. 150 square unitsD. 299 square units Can someone please help me? Ill give brainliest to the first person who gets it right In the nature vs. nurture debate, what defines characteristics that come from nature? A. whether a person suffers trauma during their childhood B. what school a person attended or what career path they chose C. what genetic factors were passed down from their parents D. whether they were born into wealth or poverty