In a large population, 57 % 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?

Answers

Answer 1

Answer:

0.986

Step-by-step explanation:

Probability of at least one being vac = 1 - Probability of all 5 not vac

1 - (1-0.57)^5 = 1 - (0.43^5) = 1 - 0.014 = 0.986

Answer 2

The probability that at least one of the five randomly chosen individuals had received a vaccination is around 0.956, or 95.6%.

Given that in a population, 57% people were vaccinated.

5 people are randomly selected, we need to find the probability that at least one of them has been vaccinated.

To calculate the probability that at least one of the five randomly selected people has been vaccinated, we can use the complementary probability approach.

The probability that none of the five people have been vaccinated is equal to the complement of the probability that at least one of them has been vaccinated.

So, let's calculate the probability of none of them being vaccinated and subtract it from 1 to find the desired probability.

The probability that a randomly selected person has not been vaccinated is 1 - 0.57 = 0.43 or 43%.

Since the selection of each person is independent, the probability that all five of them have not been vaccinated is:

P(Not Vaccinated) = 0.43⁵ = 0.043855

The probability that at least one of them has been vaccinated is the complement of the above probability:

P(at least one vaccinated) = 1 - P(not vaccinated)

= 1 - 0.043855 = 0.956145

Therefore, the probability that at least one of the five randomly selected people has been vaccinated is approximately 0.956 or 95.6%.

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Related Questions

Refer to the diagram shown.
35°
25
t
DE
M
4
N
R
6
Q
What is m 2 MNT?
m2 MNT =

Answers

Answer:

what subject?

Step-by-step explanation:

The measure of <MNT = 142.17

What is Trigonometry?

The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

PR= 6+ 4= 10 unit

So, using trigonometry

tan 25 = PT/ PR

0.466 = PT / 10

PT= 4.66 unit

Now, In ΔNPT

tan <TNP = P/ B

tan <TNP =  4.66/6

tan <TNP = 0.7766

<TNP = 37.83

Now, <MNT + <TNP = 180 {Linear pair}

<MNT = 142.17

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what is 8 divided by 874.....for my little sister

Answers

0.00915332..................

which ratio is equivalent to 4:5

10/15
4/10
16/20
15/8​

Answers

Answer:

16/20

Step-by-step explanation:

16/20 = (4*4)/(4*5) = 4/4*4/5 = 4/5

Answer: 16/20

Explanation: I just know

Does changing the compound inequality x>-3 and x<3 from and to or change the solution set? Explain

Answers

Answer:

So the answer is

Step-by-step explanation:

x)2943

Answer:The x values of the “and” inequality satisfy both inequalities.

The x values of the “or” inequality satisfy one or both inequalities.

Changing the compound inequality from “and” to “or” changes the solution set from the values between –3 and 3 for all real numbers.

Step-by-step explanation:

that's all u need

The distance in feet that Karina swims in a race is represented by 5d -5, where d is the distance for eac
What is an expression equivalent to 5d -5?
Choose the correct answer below.
A. 5d - 5 = 5(-5)
B. 5d -5 = -5 + 5d
C. 5d - 5 = 5-5d
D. 5d - 5 = -5(d+5)

Answers

Answer:

C. 5d - 5 = 5-5d

Step-by-step explanation:

The answer is B. 5b-5 = -5+5b

You roll a number cube twice. What is the probability of rolling a 2 first and then rolling an odd number?
12
Gel.

Answers

Answer:

50/50

Step-by-step explanation:

A. Dos números enteros positivos cuya diferencia sea 42
B. Dos números enteros negativos cuya diferencia sea 9
C. Dos números enteros de diferente signo cuya diferencia sea 120

Answers

Answer:

ne hamla que estas no habla espanol

Step-by-step explanation:

que

Chose the ratio that forms a proportion with the ratio 3/8?​

Answers

Answer:

well i donk know

so but just trying to get points

What is the x-coordinate of point B? Write a decimal coordinate.
ch
.
B
3
2
1 2 3 4 5 x
-5 4 3 2 1
2+
3t
PLS ANSWEE

Answers

I think it is a 2 digit number

The difference between the x-coordinate of point A and the x-coordinate of point B is -9

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that,

the point B: (14,4)

and Point A: (5,4).

The x coordinate of B is 14 while that of A is 5.

so, we get,

if the difference is x units,

then it can be expressed as equation,

x = 5 - 14

now,

The difference between the x-coordinate of point A and the x-coordinate of point B is

= 5 - 14

= -9

Hence, The difference between the x-coordinate of point A and the x-coordinate of point B is -9

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Complete question:

Point B: (14,4)Point A: (5,4)What is the difference between the x-coordinate of point A and the x-coordinate of point B?

PLEASE I NEED ANSWERS FAST ILL GIVE BRAINLIEST

Answers

Answer:

4. C: 98 degrees because the angles are consecutive angles

5. E: None of the above

Explanation: 102 degrees because the angles are corresponding angles

6: C: 103 degrees is vertical to angle B and Angle B is corresponding to angle X.

Step-by-step explanation:

Answer:

4. C, 5. E, 6. C

Step-by-step explanation:

4.

Angles x and 82 degrees are supplementary (add up to 180).

x = 180 - 82 = 98

These angles are consecutive interior angles (they're on the inside).

5.

Angles x and 102 degrees are the exact same.

These angles are corresponding angles. So it's none of these, not vertical or alternate interior.

6.

103 degrees is vertical to <b and <b is corresponding to <x.

Hope this helps!

What would be the correct order of operations to evaluate the following expression?

Multiply, Multiply, Add, Subtract

Multiply, Add, Subtract, Subtract

Multiply, Subtract, Add, Add

Multiply, Subtract, Add, Subtract​

Answers

Answer:

d or 4Step-by-step explanation:

Answer:

Multiply,Subtract,Add,Subtract

Step-by-step explanation: Easy, just think

Graph the opposite of the opposite of 10 on the number line. Click on the number line to
identify the number's location.

Answers

Answer:

the opposite of 10 is -10 that's the best i could do for ya my bad hope this still helps.

Step-by-step explanation:

Answer:-10

Step-by-step explanation:

If P = 3x2 – x + 2 and Q = x2 + 5x – 6, then P + Q =
Question 3 options:

A)

4x2 – 4x + 4


B)

4x2 + 4x + 4


C)

4x2 + 4x – 4

D)

4x2 – 4x – 4

Answers

Answer:

B)

4x2 + 4x + 4 may be right answer

Help me please and I’ll give you a Brainly star!

Answers

The answer is : 45 degrees

HELP I’m being timed!!

Answers

Answer:

A 1/4

Step-by-step explanation:

Answer:

A. There is a 1/4 chance.

Step-by-step explanation:

There are 8 outcomes if a coin is flipped 3 times.

Of these, 4 start with tails.

Since 4 is the denominator here, C (3/8) is out.

Also 4 doesn't have 3 as a factor, so B (1/3) is also out.

After the tails flip, two heads follow.

That's one of four of the combinations starting with tails (THH, THT, TTH, TTT, so D is out, leaving A as our answer! (We would need two for A to work)

Kathy owned several real estate properties. She had to pay federal taxes on her income and property taxes on the properties. What would be another major cost of her investment?

A.
bank fees
B.
investment broker fees
C.
renovation and maintenance costs
D.
utilities

Answers

Answer:

The correct answer is C. Renovation and Maintencance costs

Step-by-step explanation:

#Plato :)

The major cost of her investment would be C. Renovation and Maintencance costs.

What is income tax?

Income tax is a tax applied on individuals or entities concerning income or profit earned by them.

The amount of additional tax paid for each new dollar of income received is known as; the marginal tax rate.

The Total taxes paid is divided by total income earned is the average tax rate. With a marginal tax rate of 10 percent, then the tax would be deducted from the following dollar of income at a rate of 10%.

Given that Kathy owned several real estate properties. She had to pay federal taxes on her income and property taxes on the properties.

The major cost of her investment would be C. Renovation and Maintencance costs.

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A 1 : 6
B 1 : 3
C 2:1
D 3:1

Answers

Answer:

B)1:3

plz mark as brainliest

Given the expression m - 5w + 3m +4n + 2w, Jeriche rewrote it as 4m - 3w + 4n while John rewrote it as 8mn - 3w Who is operatorname correct? What did the other do wrong?

Answers

Answer:

eJeriche is correct, the answer is 4m - 3w + 4n, John didn't collect the like terms correctly

Step-by-step explanation:

Answer: 4m - 3w + 4n - this is the right decision.

Step-by-step explanation:

m - 5w + 3m + 4n + 2w = m + 3m - 5w + 2w + 4n = 4m - 3w + 4n

Jericho wrote correctly, and John - not.

John put together various variables n and m, which is not allowed.

4 pounds of grapes cost $11.52. what is the unit rate?

Answers

Answer: 2.88/1

Step-by-step explanation:

Here is a easy one if you are low on points

Answers

Answer:

11x -21= 180

11x=201

18.2727273

Step-by-step explanation:

Graph the following inequality and then select the correct graph below.
x+y<1

Answers

Answer:

The inequality x+y<1 should look like the graph attached.

It should be a dashed line, not a solid line.

Answer:

The second one you click to switch it

Step-by-step explanation:

Just did the quiz just going by every question and giving answers

An understanding of statistics is necessary in any job. The use of statistics can help provide answers to many questions. Write a question you think that statistics may help you answer and explain why statistics can help provide an accurate answer.

Answers

Answer:

Statistics can help solving data quantitative analysis data.

Step-by-step explanation:

Statistics can help solving data quantitative analysis data.

Examples of questions, that statistics can help provide answers to

What is the measure of central tendency, that is representative of entire statistical data.

    Ans : It can be found out by calculating mean , median , mode

How widely dispersed or spread off is the data

   Ans : It can be found out by calculating standard deviation, variance

An example of a question statistics can help you answer is: What is are the socio-economic characteristics of people living in Texas?

Using frequency count and percentage, we can determine the gender, age distribution, occupation and other demographics of the population of people living in Texas.

What is Statistics?Statistics involves the collection, collation, analysis, and interpretation of data to form valid conclusions about problems and give answers to questions raised.We have descriptive and inferential statistics as the two types of statistics.For descriptive statistics, frequency count and percentage can be used to describe the socio-economic characteristics of a population.

Therefore:

An example of a question statistics can help you answer is: What is are the socio-economic characteristics of people living in Texas?Using frequency count and percentage, we can determine the gender, age distribution, occupation and other demographics of the population of people living in Texas.

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(2x-4)+(5x-13)+(x+4)

Answers

Answer:

the answer is going to be 8x-13

Answer:

8x-13

Step-by-step explanation:

Combine all like terms

2x+5x+x=8x

-4-13+4=-13

8x-13

A bakery sells pastries in boxes of 7 each. If the bakery has 27 pastries, how many boxes can be filled?​

Answers

Answer:

3 with a few left over so 4

Step-by-step explanation:

It's for middle School PLZZZZ HELPPPP.
Lauren and her brother are buying their mom a watch for her birthday. The original price of the watch is $50, but the store is having a 25% off sale on watches. The sales tax in Lauren’s state is 6%.

How much will Lauren and her brother pay for the watch including tax? How much will each sibling pay if they split the cost equally?

Answers

Answer:

$20

Step-by-step explanation:

To find out sale

50 x .25 = 12.5

To find out tax

37.5 x .06 = 2.25

Then final price

37.5 + 2.25 = 39.75

If they spilt price

$19.88

Answer:

1. $37.5 without tax

2. Split bill with tax: $19.88

3. Split bill withput tax: $18.25

Step-by-step explanation:

Make an equation first.

y=.25 (50)

This would help solve the amount for the discpunt sale.

The discout is $12.5 off.

50-12.5=37.5

Now we have tp solve for the tax amount.

y=0.06 (37.5)

y=2.25

2.25 is the tax amount.

We have to add these all together to get the answer for part 1.

37.5+2.25= $39.75

Jack is shopping. Last week he bought $10 of groceries and ended up paying $10.07 after taxes. This week he's buying $15 of groceries. If the tax rate remains the same, how much will he end up paying after taxes?

Answers

Answer:

16.05

Step-by-step explanation:

first I realized 7 cents is .07% of 10 the I multiplied .07 times 15 then I added them up and got the answer

16.05 is the correct answer to this

Please help Im confused

Answers

Answer is 40

15/3 = 5
8 x 5 = 40

Answer:

x=40

Step-by-step explanation:

to get from 3 to 15, you multiply by 5

multiply 8 by 5 and you get 40

x is 40

please give me brainliest!!<3

The median number of cars sold by 11 sales representatives in a certain month is 6. The range of number of cars
sold by those sales representatives that month is 4.
Determine if the following statement is true, is false, or does not contain enough information.
The fewest cars sold could be 0.
Choose 1 answers
True
False
Not enough information

Answers

Answer:

False

Step-by-step explanation:

Khan Academy

The given statement is False.

What is median?

'In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution.'

According to the given problem,

Median = 6

Total count = 11

Range = 0

Now, range is the difference between the highest value and the lowest value.

Since, the median is 6, the highest number must be greater than 6. This would not have been possible if the lowest value was 0. If the lowest count had been 0, then the highest count had to be 4.
Hence, we can conclude, the fewest cars sold cannot be 0.

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The school says that no less than a third of the juniors went to prom. If 37 juniors went, what the minimum amount of juniors at the school?

Answers

Answer: 37 times 3 is 111. So there are 111 junior at that school.

1/3 times the # = the answer.

AC =
Round your answer to the nearest hundredth.
?
С
70°
4
B

Answers

Answer:

huh? im confused on the question

Step-by-step explanation:

!!

Answer: 3.76

Step-by-step explanation:

trust

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