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

The quotient of a number p and 3 is 24

Answers

Answer:

p= 8

Step-by-step explanation:

because 8 x 3 is 24

hope this helps!❄︎

Answer: p would equal 8
Explanation: if you think about it and divide 24 by 3 you would get 8

Find the slope of the line passing through the points (7.6) and (7.-2).​

Answers

Slope of (7,6) and (7,-2) is: -8

What's the answer to this question?

Answers

[tex]3\dfrac 23 -1 \dfrac 45 = 3 \dfrac{10}{15} - 1 \dfrac{12}{15}[/tex]

6 A local theater charges $26 for each adult ticket and
$17 for each student ticket. For one show, the theater
took in $988 from adults and $731 from students. How
many people attended the performance?

Answers

so what you would do is divide 988 by 26 and divide 731 by 17 and those two numbers you would add which gives you the amount of people that attended the performance

Answer:

81 people

Step-by-step explanation:

PAGE 77/215 #1A-C
What percentage of a dollar is the value of each coin combination?

a. 4 dimes
b. 1 nickel and 3 pennies
c. 5 quarters and 1 dime
?

Answers

Answer:4 dimes = 40 cents

1 nickel 3 pennies =8 cents

5 quarters and 1 dime = $1 and 35 cents

step explanation:

Albert is 5 years 6 months. How old is Albert in months​

Answers

Answer:

5x12=60,+6=66

Step-by-step explanation:

Answer:

66 months

Step-by-step explanation:

12months x 5= 60

60 + 6= 66

The length of a rectangular garden is 7 feet longer than its width. The garden's perimeter is 178 feet. Find the length of the garden.

Answers

Answer: 48

Step-by-step explanation:

l = w + 7

2w + 2l = 178

2w + 2(w + 7) = 178

2w + 2w + 14 = 178

4w = 164

w = 41

l = w + 7

l = 41 + 7

l = 48

L = 46.25
Check
2L + 2W = 178
2(46.25) + 2W = 178
92.5 + 2W = 178
-92.5. -92.5
2W = 85.5
Divide by 2 on both sides
W = 42.75

2(46.25) + 2(42.75) = 178
92.5 + 85.5 = 178
178 = 178 ✅

Solve the inequality -3p + 7 < -2p+8​

Answers

p  >  −  1

............................................................................................

I need help on the "the slopes are" part on these 2 plz help

Answers

Answer:

Negative reciprocals

A vendor sells burgers and cookies. A customer buys 2 burgersand 2 cookies for $7.50. Another customer buys 4 burgers and 3 cookies for $13.75. Find the cost of each item.

Answers

Answer:

The burgers cost $2.50 and the cookies cost $1.25.

Step-by-step explanation:

Let b represent burgers and c represent cookies.

2b + 2c = 7.50

4b + 3c = 13.75

Step 1: Use one of the two equations and isolate one of the variables.

2b + 2c = 7.50

      - 2c    -2c

[tex]\frac{2}{2}[/tex]b = [tex]\frac{7.50}{2}[/tex] - [tex]\frac{2}{2}[/tex]c

b =  3.75 - c

Step 2: Plug what you get for b into the second equation.

4(3.75 - c) + 3c = 13.75

15 - 4c + 3c = 13.75

15 - 1c = 13.75

Step 3: Isolate the variable and solve for c.

15 - 1c = 13.75

-15        -15

[tex]-\frac{1}{1}[/tex]c = [tex]\frac{-1.25}{-1}[/tex]

c = 1.25 ← price for cookies

Step 4: Plug in what you have for c into one of the previous equations and solve for b.

2b + 2(1.25) = 7.50

2b + 2.50 = 7.50

     - 2.50   -2.50

[tex]\frac{2}{2}[/tex]b = [tex]\frac{5}{2}[/tex]

b = 2.50 ← price for burgers

Now you know the cost of each item:

The burgers cost $2.50 and the cookies cost $1.25.

(PHOTO) Please help need this done by tomorrow thank you.
Solve for x. k 2x + 4 4x - 88 x = [?]​

Answers

Answer:

2x + 4 = 4x - 88

x = 46

Answer:

x = 46

Step-by-step explanation:

These angles are known as corresponding angles. This means they are equal to one another.

[tex]4x-88=2x+4\\2x-88=4\\2x=92\\x=46[/tex]

At the movies, tickets cost $16.50 for adults and $5.50 for kids under 12. How many total tickets would someone get if they purchased 11 adult tickets and 16 kids tickets? How many total tickets would someone get if they purchased aa adult tickets and kk kids tickets?

Answers

Answer: 27 tickets a+k

Step-by-step explanation:

11+16

if 4/3divided by 1/6 then the value of p is between which of the following pairs of numbers
3 and 4
5 and 6
6 and 7
7 and 9

Answers

Answer:

7 and 9

Step-by-step explanation:

4/3÷1/6 = 4/3 × 6/1

= 8

So the value of p falls between the range of 7 and 9

How many pounds are in 1 1/2 pounds and 8 ounces?

Answers

Answer:

2 pounds

Step-by-step explanation:

Because 8 ounces = 0.5 pounds

1.5+0.5=2

There is a 0.9968 probability that a randomly selected 50 year old female lives through the year (based on data from the US department of Health and Human Services). A Fidelity life insurance company charges $226 for insuring that the female will live through the year. If she does not survive the year, the policy pays out $50,000 as a death benefit.

Answers

There is a 0.9968 probability that a randomly selected 50-year-old female lives through the year (based on data from the U.S. Department of Health and Human Services).

-------------------

A Fidelity life insurance company charges $226 for insuring that the female will live through the year. If she does not survive the year, the policy pays out $50,000 as a death benefit.

From the perspective of the 50-year-old female, what are the values corresponding to the two events of surviving the year and not surviving?

----

Ans: -226 ; 50,000-226 = 49774

-------------------------

If a 50-year-old female purchases the policy, what is her expected value?

 

WORK TRIED:

In the event she lives, the value is -$226. In the event she dies, the value is $49,774.

----

E(x) = 0.9968*(-226) + 0.0032(49774) = -$66

==================================================

Cheers,

ROR

tammy has soccer practice every 12 days, basketball 18 days, band practice 20 days, and music class every 24 days. If she has all these practices on the same day today, then how many days will it be until she has all four practices.

Answers

Answer:

360 days

Step-by-step explanation:

It would be a whole year until the classes line up on the same day again, because it would only be the exact same date of the next year that they line up.

Hope this helps!

Which expression is NOT equal to 729?
3 × 3 × 3 × 3 × 3 × 3
63
9 × 9 × 9
36

Answers

Answer:

6^3

Step-by-step explanation:

3 × 3 × 3 × 3 × 3 × 3=729

6^3=216

3 × 3 × 3 × 3 × 3 × 3=729

3^6=729

Hope this helps :)

3 × 3 × 3 × 3 × 3 × 3

63

9 × 9 × 9

36

One of the legs of the obtuse isosceles △ABC and △DBE lie on the same line sharing vertex B without overlapping. The sides DE and AC intersect at point F, DC = 12 in, m∠BDF=m∠BCF=30°. Find AE and CE.
GIVE FULL EXPLANATION

PLZ HELP ILL GIVE 100 POINTS

Answers

9514 1404 393

Answer:

  AE = CE = 12 in

Step-by-step explanation:

Angles BDF and BCF are base angles of their respective isosceles triangles. That means the a.pex angle of each, DBF and ABC respectively is ...

  180° -2×30° = 120°

In your diagram, BC is 120° from the -x axis, so is 60° from the +x axis. It bisects the angle DBE. Similarly, BE is 120° from the +x axis, so is 60° from the -x axis. It bisects angle ABC. In an isosceles triangle, the a.pex angle bisector is an altitude and is the perpendicular bisector of the base segment. Any point on that line is equidistant from the base vertices.

Point C lies on the perpendicular bisector of DE, so CD ≅ CE = 12 in.

Point E lies on the perpendicular bisector of AC, so EC ≅ EA = 12 in.

The measurements of interest are ...

  AE = CE = 12 in.

_____

Additional comment

Point F serves no purpose except to confuse the issue. Each of the angles that reference point F could be described equally well using a different point:

  ∠BDF = ∠BDE

  ∠BCF = ∠BCA

This makes it more obvious that the triangles of interest are similar.

Answer:

12

12

Step-by-step explanation:

see the below figure

i got that both triangles are similar

we get that in triangle ABC angle BCF is 30

so angle A is also 30 (isosceles)

so the remaining angle ABC is 120

and angle CBD becomes 180 - 120 = 60

now in triangle BDE angle BDF is 30

so angle BED is also 30

now angle EBC becomes 120 - angle CBD = 120 - 60

and got angles ABE EBC CBD as 60 each

so three 60 degree angles are formed at vertex B as shown in the figure

 tw0 30 30 120 degree triangles are similar

BC becomes perpendicular angular bisector of ED

C is a point on that line which is at equal distance from the base vertices

so CD = CE = 12

here BE is perpendicular bisector of AC

so AE = EC = 12    

Lin's family has completed 30% of a trip, they have travelled 45 miles. How far is the trip?

Answers

Answer:

2 hours

Step-by-step explanation:

Answer:

150 miles

Step-by-step explanation:

45/3=15

15*7=105      15*3=45

105+45=150

15*10=150

:)

henry is designing a tablecloth for his dining room table. He wants to buy fabric in his favorite color to make the tablecloth. use the dimensions below to determine how much fabric he need to buy. 12 feet 7 feet

Answers

Yes yes yes yea yes yes yes yes ye

A researcher estimates that a fossil is 3200 years old. Using carbon-14 dating a procedure used to determine the age of an object the researcher discovers that the fossil is 3600. Find the percent error

Answers

Answer:

11.1

Step-by-step explanation:

The percentage error for the given data will be 12.5%

What is the percentage?

According to its definition, a percentage is any number relative to 100. It is shown with the sign %. "Out of 100" is what the percentage means. Consider dividing any quantity or item into 100 identical bits.

The percentage error will be calculated as:-

percent error = (|experimental value - theoretical value| / theoretical value) x 100

In this case, the experimental value is 3600 years (from carbon-14 dating) and the theoretical value is 3200 years (from the researcher's estimate). Plugging these values into the formula:

percent error = (|3600- 3200| / 3200) x 100 = (400/ 3200) x 100 = 12.5%

Learn more about percentage error on:

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In year one the population of rabbits is 100. In year three the population is 300. Assuming the population is to go unchecked and is linear what will be the population in year 10? Construct a formula for this.

Answers

Answer:

the rabbits ran away

Step-by-step explanation:

now its 300 rabbits

PLS HELP ASAP
x^2 - 4x-1=0
Solve using formula

Answers

Answer:

Your answer would be x=2±√5

Step-by-step explanation:

Can someone help me please

Answers

Answer:

15 - 17 = 0.013333 (1.3333%)

latte drop = 8.3%

gasoline = 9%

can someone help with this problem

Answers

Check the picture below.

a 25 -ft ladder rests against the side of a house. the distance between the top of the lader and the ground is 17 ft more than the distance between the base od the ladder and the bottom of the house. find both distances. ​

Answers

Answer:

Step-by-step explanation:

x² + (x + 17)² = 25²

x² + x² + 34x + 289 = 625

2x² + 34x - 336 = 0

x² + 17x - 168 = 0

x = (-17 ±√(17² - 4(1)(-168))) / (2(1))

x = 7 or - 24   the negative distance makes no sense, but if we plug our good answer of 7 ft in for the base length, the height comes out to be + 24 ft

base = 7 ft

height = 24 ft

L shcool W clash royale ​

Answers

Answer:

THEY ARE CONGRUENT BY ASA TEST OF CONGRUENCE

pls help i’ll mark brainliest!!
Interpret the slope of the function in the terms of the problem.
25 ml of water are lost every hour
5 ml of water are lost every hour
10 ml wat are lost every hour
2mL of water are lost

Answers

2 ML lost every hour that’s what I think

Rest of the options

Answers

Yep, it's C. The answer is C

Is y=1/2x+7 a function

Answers

No that is not a function 1/2x is equal to 2x power -1 and a power cannot be negative so it is not a function
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