Based on a​ poll, 63% of Internet users are more careful about personal information when using a public​ Wi-Fi hotspot. What is the probability that among four randomly selected Internet​ users, at least one is more careful about personal information when using a public​ Wi-Fi hotspot? How is the result affected by the additional information that the survey subjects volunteered to​ respond? The probability that at least one of them is careful about personal information is

Answers

Answer 1

Answer:

So it's a big probability it's a 6 in 4 chance though. 6 is for users that are careful and 4 for users that aren't that careful.

Step-by-step explanation:

Answer 2

The required probability is 0.981 that at least one of them is careful about personal information.

What is the Binomial Theorem?

The binomial theorem states the principle for expanding the algebraic expression (x + y)ⁿ and describes it as the total of the phrases involving the unique exponents of the x and y variables. Each word in a binomial expansion has a coefficient, which is a numerical value.

According to a survey, 63% of Internet users are more cautious about their personal information when using a public Wi-Fi hotspot.

Four randomly selected Internet​ users, at least one is more careful about their personal information.

As per the given question,

Here, n = 4, p = 0.63, (1 - p) = 0.37 and x = 0

As per binomial distribution formula P(X = x) = nCx × p^x × (1 - p)^(n - x)

P(X = 0) = 4C0 × 0.63^0 × 0.37^4

P(X = 0) = 0.0187

P(X ≥ 1) = 1 - 0.0187

Apply the subtraction operation, and we get

P(X ≥ 1) = 0.981

Thus, the required probability is 0.981 that at least one of them is careful about personal information.

Learn more about the binomial theorem here:

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Related Questions

A breakfast cereal producer makes its most popular product by combining just raisins and flakes in each box of cereal. The amounts of flakes in the boxes of this cereal are normally distributed with a mean of 370\,\text{g}370g370, start text, g, end text and a standard deviation of 24\,\text{g}24g24, start text, g, end text. The amounts of raisins are also normally distributed with a mean of 170\,\text{g}170g170, start text, g, end text and a standard deviation of 7\,\text{g}7g7, start text, g, end text.
Let T=T=T, equals the total amount of product in a randomly selected box, and assume that the amounts of flakes and raisins are independent of each other.
Find the probability that the total amount of product is less than 575\,\text{g}575g575, start text, g, end text.
You may round your answer to two decimal places.
P(T<575)\approx

Answers

Using the normal distribution, it is found that there is a 0.9192 = 91.92% probability that the total amount of product is less than 575 g.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.When two normal variables are added, the mean is the sum of the means while the standard deviation is the square root of the sum of the variances.

In this problem, the product is composed by flakes and raisins, and we have that:

[tex]\mu_F = 370, \sigma_F = 24, \mu_R = 170, \sigma_R = 7[/tex]

Hence, the distribution for the total amount of product has mean and standard deviation given by:

[tex]\mu = \mu_F + \mu_R = 370 + 170 = 540[/tex]

[tex]\sigma = \sqrt{\sigma_F^2 + \sigma_R^2} = \sqrt{24^2 + 7^2} = 25[/tex]

The probability that the total amount of product is less than 575 g is the p-value of Z when X = 575, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{575 - 540}{25}[/tex]

[tex]Z = 1.4[/tex]

[tex]Z = 1.4[/tex] has a p-value of 0.9192.

0.9192 = 91.92% probability that the total amount of product is less than 575 g.

A similar problem is given at https://brainly.com/question/22934264

Please please help please help me please please help me

Answers

It’s 1+1 so it it 99

Answer:

y = -6/7x - 10/7

Step-by-step explanation:

(-4,2) and (3,-4)

Slope: - 6/7

Take any point: (-4,2)

y-intercept: 2 - (- 6/7)(-4) = -10/7

If a recipe for a cake calls for 2 1/2 cups of flour and Mary wishes to make 3 cakes, how many cups of flour does she need A. 6 B. 6 1/2 C. 7 1/2 D. 9 E. 9 1/2

Answers

Answer:

option C 7½ is correct hope this answer helps you dear! take care

if a chocolate cake is divided into six equal slices and each slice has 280 calories

Answers

Answer:

Whats the question?

Step-by-step explanation:

Answer:

1,680

Step-by-step explanation

6 slices each 280 calories, 280 x 6 = 1,680

geomtry plz help 15 points

Answers

Answer:

it should be 60°. the single marks on each side means they are all equal

Answer:

m∠L=60º

Step-by-step explanation:

The triangle is an equilateral triangle meaning that all angles and sides are equal.

m∠L=60º

Hope this helps :)

brief statement Bosnian Crisis.

Answers

Answer:

The Bosnian war and genocide resulted in close to 100,000 civilians killed, over 2 million people forcibly displaced, and between 20,000-50,000 women systematically raped. ... Over 7,000 Bosnian Muslim prisoners captured in the area around Srebrenica were summarily executed from 13 July to 19 July 1995.

Step-by-step explanation:

hope this helps

Using the diagram of a regular hexagon, fill in the blanks for the steps to solve for the area of a hexagon with sides equal to 16 cm.

(1) How many equilateral triangles are there? _____

(2) What is the measure of each of the three angles in the equilateral triangle? _____

(3) If we cut an equilateral triangle down the middle (segment a), what special right triangle do you create? _____

(4) What is the vocabulary word for the segment a? _____

(5) What is the length of the short side of one of the 30-60-90 triangles? _____

(6) What is the length of the hypotenuse of one of the 30-60-90 triangles? _____

(7) Using the properties of 30-60-90 triangles, calculate the length of the long leg of one of the 30-60-90 triangles. _____

(8) What is the height of one of the the equilateral triangles? _____

(9) Apply the formula for the area of a triangle to find the area of one equilateral triangle. _____

(10) Calculate the area of the complete hexagon by multiplying the area of one equilateral triangle by the number of triangles. _____

Answers

Answer:

(1) How many equilateral triangles are there? ___6__

(2) What is the measure of each of the three angles in the equilateral triangle? __60°_

(3) If we cut an equilateral triangle down the middle (green line), what special right triangle do you create? _30-60-90_

(4) What is the vocabulary word for the green line? _Perpendicular bisector_

(5) What is the length of the short side of one 30-60-90 triangle? __4_cm_

(6) What is the length of the hypotenuse of one 30-60-90 triangle? __8 cm

(7) Using the properties of 30-60-90 triangles, calculate the length of the long leg. _4√3_cm

(8) What is the height of the equilateral triangle?  _4√3_cm

(9) Apply the formula for the area of a triangle to find the area of one equilateral triangle. ½(8)(4√3) = 16√3 cm²

(10) Calculate the area of the complete hexagon by multiplying the area of one equilateral triangle by the number of triangles. _8(16√3) = 128√3 cm²_

Step-by-step explanation:

In geometry, a hexagon can be defined as a polygon with six sides. The two-dimensional shape has 6 sides, 6 vertices and 6 angles

What is Hexagone?

In geometry, a hexagon can be defined as a polygon with six sides. The two-dimensional shape has 6 sides, 6 vertices and 6 angles

The answers of all the fill in the blanks are given below:

(1) How many equilateral triangles are there ___6__

(2) What is the measure of each of the three angles in the equilateral triangle __60°_

(3) If we cut an equilateral triangle down the middle (green line), what special right triangle do you create? _30-60-90_

(4) What is the vocabulary word for the green line? _Perpendicular bisector_

(5) What is the length of the short side of one 30-60-90 triangle? __4_cm_

(6) What is the length of the hypotenuse of one 30-60-90 triangle? __8 cm

(7) Using the properties of 30-60-90 triangles, calculate the length of the long leg. _4√3_cm

(8) What is the height of the equilateral triangle?  _4√3_cm

(9) Apply the formula for the area of a triangle to find the area of one equilateral triangle. ½(8)(4√3) = 16√3 cm²

(10) Calculate the area of the complete hexagon by multiplying the area of one equilateral triangle by the number of triangles. _8(16√3) = 128√3 cm²

To know more about Hexagone follow

https://brainly.com/question/1615720

Match the event with the most appropriate probability word: The roll of a normal fair dice will show a 7.

A. Certainly
B. Likely
C. Evens
D. Unlikely
E. Impossible
F. Other

Answer this, plz.

Answers

Answer:

Option 3

Evens

. . . . . .. . ..

1. Which sequence of transformations takes A to its image,B ?
A. reflection over the x-axis and translation 2 units down
B. reflection over the y-axis and translation 2 units down
C. translation 2 units down and 90° rotation about the origin
D. translation 12 units right and 90° rotation about the origin

Answers

Answer:

Second is the correct answer but i think all are correct

An aircraft factory manufactures airplane engines. The unit C(the cost in dollars to make each airplane engine) depends on the number of engines made. If x engines are made , then the unit cost is given by the function C (x) = 0.9x^2-306x+34,590. What is the minimum unit cost?

Answers

34,590 because even if 0 engines are made, then 34,590 is still expected as a base price

Use synthetic division to find the result when 3x^4 – 16x^3 + 29x^2 - 17x - 2 is divided by x – 2​

Answers

Answer:

2

Step-by-step explanation:

I'll give brainiest whoever answers first

Answers

aight slide it here big boy

w
[tex]41 \div 646 = [/tex]
[tex]259 \times 55[/tex]
help me with this math pls​

Answers

This is your answer and for the multiplication I gave it to you step by step

solve pls brainliest

Answers

5.15, 5.2222, 5.19, 5.169



1: 103/20 2: 5.169 3: 5.19 4: 5 2/9

We have: 103/20= 5,15   ;   5 2/9= 5,(2)

So the answer is:

103/20 < 5.169 < 5.19 < 5 1/2

ok done. Thank to me :>

How much is f(x) = 3(4)x

Answers

Answer:

f ( x ) = 12 x

Step-by-step explanation: 3x4=12 so that makes it f(x)=12x

Valentine's Day is coming up, so Sweet Dreams chocolate shop is ordering ribbon to decorate gift boxes. Small gift boxes use 20 inches of ribbon, while large ones use 30 inches. Sweet Dreams expects to sell 225 small boxes and 180 large boxes. If the ribbon they use is sold by the yard, how many yards of ribbon should they order?

Answers

Answer:

i think 9900

Step-by-step explanation:

225x20 = 4500

180x30 = 5400

5400+4500 = 9900

What is 55% of 20?!?!?!

Answers

Answer:

11

Step-by-step explanation:

Since, finding the fraction of a number is same as multiplying the fraction with the number, we have

use the method:

is/of and %/100

plug in 55 for the percent, and 20 for 'of'

should be: x/20 and 55/100

cross multiply to get 11.

 

1%of 20 is 0.2 0.2x5=1         5% of 20 is 1

10% of 20 is 2 2x5=10          50% of 20 is 10

1+10=11

That is just how i do it to make it easier for others, and sometimes for me.

the number of students in a chess club decreased from 37 to 19. What is the percent decrease? Round your answer to the nearest percent. The percent decrease is %.

Answers

Answer:

You should be able to get your answer by

Step-by-step explanation:

For example let's sayAbout 33%. You divide 12 by 18 and get 0.6666666 and it goes on. So, rounded to the nearest percent, it is 67%. Then, you subtract it from 100 and get 33%. So the percent decrease is 33%.

Hope this helps

Last year at a certain high school, there were 100 boys on the honor roll and 60 girls on the honor roll. This year, the number of boys on the honor roll decreased by 11% and the number of girls on the honor roll decreased by 10%. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).​

Answers

Answer:

-11 boys -6 girls

Step-by-step explanation:

1+×= ???? answer it ​

Answers

Answer:

1+x=x

Step-by-step explanation:

1 is only one letter

What is his error? Try to describe the picture. (Pls help I need 4 pages due tomorrow)

Answers

Answer:

Ben's error is that he thought both pizzas were the same size, well what was left and in the beginning.

Step-by-step explanation:

Even if both 1/4 is left, that doesn't mean you started with the same amount.  Also, both 1/4 pieces are different shapes and sizes, making him wrong.

Hope this helped!! :)

What is equivalent to 6 + 3 x 9 - 4

Answers

Answer:

29

Step-by-step explanation:

6 + 3 x 9 - 4

6 + 27 - 4

33 - 4

=29

2x - 5y = 6 and -2x + 7y = 14

*Using elimination*​

Answers

2x-5y+ (-2x) + 7y= 6+14
2y = 20
y= 10
2x-5(10)=6
2x= 56
x= 28
here is the ans.hope this helps!

express (25 1/2) ^3 in simplest radical form

Answers

Step-by-step explanation:

i think this is the answer if it's wrong I'm sorry

Amelia and her children went into a grocery store and she bought $10 worth of apples and bananas. Each apple costs $1 and each banana costs $0.50. She bought a total of 12 apples and bananas altogether. By following the steps below, determine the number of apples, x,x, and the number of bananas, y,y, that Amelia bought.

Answers

Answer:

8 apples

4 bananas

Step-by-step explanation:

8 apples (8$)

4 bananas (4$)

12 total

10 $ total

hope it helps

Solve: 2x^2 -x >15 Show your work.

Answers

Step by step explanation

Answer:

x>3

Step-by-step explanation:

Work:

2x^2-x>15

Subtract 15 on both sides:

2x&2-x-15>0

Factor the left side of equation to cancel out the ^2.

(2x+5)(x−3)>0

2x+5=0 or x−3>0

Then to make it easier we will do the x-3>0 one, add 3 to both sides = x>3

the odds against your bet are to 3. if you bet $27 and win. how much you win​

Answers

If you win, you will get eighty-one dollars ($81.00)
If you win you will get $81 because 3*27= 81

Show this situation on a vertical number line

Answers

what is the situation to your question

Answer:

What is the situation?

Step-by-step explanation:

What is the equation of the line in slop-intercept form?



Enter your answer in the blank spots




y= __x + __

Answers

Answer:

y=2x +5

Step-by-step explanation:

so 2 goes in the first blank and 5 goes in the second

Hope this helps!❆

if I move up 8 and then move down 8 where am I located?​

Answers

Answer:

you are back in your place.

Step-by-step explanation:

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